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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample719.0ms (11.2%)

Memory

23.9MiB live, 1 156.3MiB allocated

Samples

349.0ms	7 576×	0	valid
54.0ms	305×	2	valid
29.0ms	375×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 287.0ms

ival-mult: 210.0ms (73.3% of total)

ival-sub: 51.0ms (17.8% of total)

adjust: 8.0ms (2.8% of total)

exact: 8.0ms (2.8% of total)

ival-true: 6.0ms (2.1% of total)

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

Bogosity

preprocess82.0ms (1.3%)

Memory

-9.2MiB live, 120.9MiB 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)))

explain93.0ms (1.4%)

Memory

36.4MiB live, 230.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

21.0ms	426×	0	valid
5.0ms	38×	1	valid
5.0ms	36×	2	valid
4.0ms	12×	3	valid

Compiler

Compiled 78 to 32 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 15.0ms (71.7% of total)

ival-sub: 3.0ms (14.3% of total)

adjust: 1.0ms (4.8% of total)

exact: 1.0ms (4.8% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify46.0ms (0.7%)

Memory

-0.8MiB live, 77.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.4%)

Memory

-24.4MiB live, 54.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Samples

12.0ms	213×	0	valid
4.0ms	18×	2	valid
2.0ms	19×	1	valid
1.0ms	6×	3	valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (63.5% of total)

ival-sub: 3.0ms (27.2% of total)

adjust: 1.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite540.0ms (8.4%)

Memory

44.6MiB live, 780.2MiB 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)))))
(/.f64 (neg.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 (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64))) (+.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 (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) #s(literal 3 binary64)) (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(/.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.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 (neg.f64 (neg.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 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))) (neg.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 (neg.f64 (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))) (neg.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64))))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)) (fma.f64 (.f64 x x) #s(literal 81 binary64) (-.f64 #s(literal 36 binary64) (.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 36 binary64)) (-.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 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 -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
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(/.f64 (-.f64 (.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) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 36 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))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) (.f64 x x) (*.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 3 binary64) (*.f64 x x))))
(.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) (.f64 x x) (*.f64 #s(literal -2 binary64) x)))
(.f64 #s(literal 3 binary64) (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 x (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 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 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) x)))
(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) x)))
(.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) x))
(.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 81 binary64))))))
(.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 36 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (.f64 (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))) #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 #s(literal -6 binary64) x))))))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 81 binary64)))))))
(.f64 (neg.f64 (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
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(.f64 (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(.f64 (.f64 #s(literal 3 binary64) (.f64 x (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (.f64 x (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 x (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 x (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) x) (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (/.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 (.f64 #s(literal 3 binary64) x) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)) (*.f64 #s(literal 3 binary64) x)) (/.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 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 3 binary64) x)) (/.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 (-.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal -9 binary64))) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) x) (/.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 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (.f64 (.f64 x (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) #s(literal 3 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 (.f64 x (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)))
(neg.f64 (*.f64 x #s(literal -3 binary64)))
(/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal -3 binary64)))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)))

simplify341.0ms (5.3%)

Memory

-74.8MiB live, 203.7MiB 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))

eval125.0ms (1.9%)

Memory: 11.6MiB live, 240.9MiB allocated
Compiler: Compiled 20 420 to 2 295 computations (88.8% saved)

prune118.0ms (1.8%)

Memory

13.5MiB live, 249.3MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	887	11	898
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	888	11	899

Accuracy

100.0%

Counts

899 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (.f64 (.f64 x #s(literal -3 binary64)) x) #s(literal 3 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))))
	52.8%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	99.7%	(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
	99.7%	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
▶	47.0%	(.f64 (.f64 #s(literal -9 binary64) x) x)
▶	54.6%	(*.f64 x #s(literal 6 binary64))
	47.0%	(.f64 #s(literal -9 binary64) (.f64 x x))

Compiler

Compiled 182 to 132 computations (27.5% saved)

simplify30.0ms (0.5%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -3 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal -3 binary64)) x)
✓	cost-diff	640	(fma.f64 (.f64 (.f64 x #s(literal -3 binary64)) x) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 9 binary64))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
✓	cost-diff	128	(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -9 binary64) x)
✓	cost-diff	0	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	cost-diff	0	(*.f64 x #s(literal 6 binary64))
✓	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

472×	`lower-fma.f32`
468×	`lower-fma.f64`
320×	`lower-*.f32`
302×	`lower-*.f64`
104×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	77
0	31	76
1	51	73
2	75	73
3	117	73
4	150	73
5	181	73
6	222	73
7	314	73
8	374	73
9	415	73
10	581	73
11	601	73
12	609	73
0	609	69

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

localize79.0ms (1.2%)

Memory

-6.0MiB live, 83.3MiB allocated

Localize:

Found 13 expressions of interest:

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

Samples

46.0ms	228×	0	valid
3.0ms	10×	2	valid
3.0ms	8×	3	valid
2.0ms	8×	1	valid
1.0ms	2×	5	exit

Compiler

Compiled 81 to 21 computations (74.1% saved)

Precisions

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

ival-mult: 16.0ms (71.1% of total)

ival-add: 3.0ms (13.3% of total)

adjust: 1.0ms (4.4% of total)

exact: 1.0ms (4.4% of total)

ival-sub: 1.0ms (4.4% of total)

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

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

series8.0ms (0.1%)

Memory

-24.2MiB live, 13.5MiB allocated

Counts

12 → 144

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

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

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* (- 6 (* x 9)) x)
1.0ms	x	@	inf	(+ (* x 6) (* (* x x) -9))
0.0ms	x	@	0	(+ (* x 6) (* (* x x) -9))
0.0ms	x	@	-inf	(* -9 x)
0.0ms	x	@	-inf	(* (- 6 (* x 9)) x)

rewrite401.0ms (6.3%)

Memory

13.4MiB live, 572.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 836×	`lower-fma.f32`
9 832×	`lower-fma.f64`
4 864×	`lower-*.f32`
4 846×	`lower-*.f64`
1 720×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	60
0	31	59
1	89	56
2	591	56
3	6485	56
0	8237	52

Stop Event

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

Counts

12 → 616

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

Outputs
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 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)))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
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(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 36 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 36 binary64)))) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64)))) (fma.f64 x (.f64 x #s(literal 36 binary64)) (.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal 36 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 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 #s(literal 36 binary64) (.f64 x #s(literal -54 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64))))) (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))) #s(literal 6561 binary64)) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64))) (.f64 (fma.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (.f64 x x) #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 #s(literal -54 binary64) (.f64 x x)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 36 binary64)) (.f64 x (.f64 #s(literal -54 binary64) (.f64 x x)))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 36 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal -216 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x #s(literal 36 binary64)) (.f64 (.f64 x x) (.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 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 x (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 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 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 46656 binary64)))) (fma.f64 (.f64 x (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))) (-.f64 (.f64 x (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))) (.f64 (.f64 x x) #s(literal 36 binary64))) (.f64 #s(literal 1296 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.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 #s(literal 1296 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 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))))))) (fma.f64 x (.f64 x #s(literal 36 binary64)) (.f64 (.f64 x x) (.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))) #s(literal 46656 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) (-.f64 (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) #s(literal 36 binary64)) #s(literal 1296 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64))) (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))))) (-.f64 #s(literal 36 binary64) (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))))
(.f64 (/.f64 (.f64 x (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))) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(.f64 (/.f64 (.f64 x (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))) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)) #s(literal 36 binary64)))
(.f64 x (.f64 x #s(literal -3 binary64)))
(.f64 (.f64 x x) #s(literal -3 binary64))
(.f64 #s(literal -3 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -3 binary64)) x)
(*.f64 x #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x)

simplify218.0ms (3.4%)

Memory

23.8MiB live, 290.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 050×	`lower-*.f64`
4 050×	`lower-*.f32`
2 898×	`lower-fma.f64`
2 898×	`lower-fma.f32`
1 610×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	640
1	59	640
2	110	640
3	239	640
4	575	640
5	807	640
6	1839	640
7	3901	640
8	5519	640
9	6704	640
10	7618	640
0	8015	604

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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

eval163.0ms (2.5%)

Memory: 1.1MiB live, 195.1MiB allocated
Compiler: Compiled 19 921 to 807 computations (95.9% saved)

prune80.0ms (1.2%)

Memory

-8.9MiB live, 106.7MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	770	4	774
Fresh	1	5	6
Picked	1	4	5
Done	0	0	0
Total	772	13	785

Accuracy

100.0%

Counts

785 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	54.3%	(/.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
▶	52.8%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
▶	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	99.7%	(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
▶	47.0%	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
▶	47.0%	(.f64 (.f64 x x) #s(literal -9 binary64))
	46.9%	(.f64 (.f64 x #s(literal 3 binary64)) (*.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)))
✓	47.0%	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	54.6%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 203 to 147 computations (27.6% saved)

simplify30.0ms (0.5%)

Memory

-18.7MiB live, 44.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
✓	cost-diff	1408	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
✓	cost-diff	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
✓	cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	cost-diff	320	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	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

226×	`lower-*.f32`
212×	`lower-*.f64`
164×	`lower-/.f32`
156×	`lower-/.f64`
130×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	95
0	35	89
1	65	89
2	106	89
3	190	88
4	243	88
5	290	88
6	325	88
7	334	88
8	344	88
9	357	88
10	383	88
11	419	88
12	436	88
13	437	88
0	437	87

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

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

localize88.0ms (1.4%)

Memory

12.8MiB live, 203.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))
✓	accuracy	99.9%	(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
✓	accuracy	100.0%	(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	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	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

33.0ms	190×	0	valid
16.0ms	41×	2	valid
6.0ms	18×	1	valid
4.0ms	7×	5	exit

Compiler

Compiled 106 to 24 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 20.0ms (54% of total)

ival-div: 9.0ms (24.3% of total)

ival-add: 4.0ms (10.8% of total)

adjust: 2.0ms (5.4% of total)

exact: 1.0ms (2.7% of total)

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

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

series6.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB 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 (.f64 (.f64 x x) #s(literal -9 binary64))>
#<alt (*.f64 x x)>
#<alt (.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))>
#<alt (.f64 x (.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))>
#<alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))>
#<alt (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))>
#<alt (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))>

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

Calls

39 calls:

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

rewrite607.0ms (9.5%)

Memory

-34.8MiB live, 534.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 154×	`lower-fma.f32`
4 150×	`lower-fma.f64`
3 814×	`lower-*.f32`
3 800×	`lower-*.f64`
2 446×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	75
0	35	69
1	122	69
2	622	68
3	5247	68
0	8048	67

Stop Event

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

Counts

13 → 924

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

Outputs
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64)))))
(+.f64 (.f64 #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 (neg.f64 x) #s(literal -6 binary64)) (.f64 (neg.f64 x) (*.f64 x #s(literal 9 binary64))))
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(fma.f64 (*.f64 x x) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))))
(fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))))
(fma.f64 #s(literal -3 binary64) (neg.f64 x) #s(literal 2 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 x #s(literal 3 binary64)) (/.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))))
(fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))))
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -8 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))))
(neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 4 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))))
(/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64))) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) #s(literal 512 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64) #s(literal -64 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -8 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64) #s(literal -64 binary64)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 16 binary64)))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal -16 binary64)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) #s(literal 512 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64) #s(literal 64 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 216 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -8 binary64)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 16 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)))) (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))) (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)) #s(literal 512 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 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -8 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 (.f64 x x) #s(literal 36 binary64) #s(literal 16 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 4 binary64)))
(pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 4 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64))))
(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)))
(.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x #s(literal -3 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)) (fma.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 4 binary64)) (.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal -6 binary64) #s(literal 4 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729 binary64)))) (fma.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) (.f64 x #s(literal 6 binary64))))) (+.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) (.f64 x #s(literal 6 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -4 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -8 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 4 binary64))))

simplify365.0ms (5.7%)

Memory

26.7MiB live, 418.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 122×	`lower-fma.f64`
9 122×	`lower-fma.f32`
2 788×	`lower-*.f64`
2 788×	`lower-*.f32`
1 930×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	906
1	390	902
2	837	888
3	1677	884
4	3695	884
5	7095	884
0	8103	818

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

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

eval237.0ms (3.7%)

Memory: 11.0MiB live, 321.6MiB allocated
Compiler: Compiled 20 396 to 2 624 computations (87.1% saved)

prune117.0ms (1.8%)

Memory

15.2MiB live, 331.9MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1 213	5	1 218
Fresh	2	2	4
Picked	2	3	5
Done	0	4	4
Total	1 217	14	1 231

Accuracy

100.0%

Counts

1 231 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	54.3%	(/.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))
	89.5%	(/.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)))
▶	47.0%	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
▶	54.5%	(/.f64 x #s(literal 1/6 binary64))
▶	54.5%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) x))
✓	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	99.7%	(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
✓	47.0%	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
✓	47.0%	(.f64 (.f64 x x) #s(literal -9 binary64))
▶	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
▶	46.9%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
✓	47.0%	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	54.6%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 180 to 130 computations (27.8% saved)

simplify10.0ms (0.2%)

Memory

-12.8MiB live, 25.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1/9 binary64) x)
✓	cost-diff	384	(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	1088	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(*.f64 x #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	320	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
✓	cost-diff	0	(/.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal -3 binary64) #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 x #s(literal -3 binary64) #s(literal 2 binary64)))

Rules

98×	`lower-*.f32`
90×	`lower-*.f64`
60×	`lower-fma.f32`
58×	`lower-fma.f64`
38×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	61
0	27	59
1	48	56
2	89	56
3	111	56
4	112	56
0	112	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize216.0ms (3.4%)

Memory

-36.1MiB live, 225.4MiB allocated

Localize:

Found 11 expressions of interest:

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

Samples

76.0ms	84×	5	exit
27.0ms	172×	0	valid

Compiler

Compiled 65 to 19 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

adjust: 25.0ms (31.5% of total)

ival-div: 17.0ms (21.4% of total)

const: 15.0ms (18.9% of total)

ival-mult: 13.0ms (16.4% of total)

ival-add: 7.0ms (8.8% of total)

exact: 1.0ms (1.3% of total)

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

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

series3.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Counts

10 → 120

Calls

Call 1

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

Calls

30 calls:

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

rewrite546.0ms (8.5%)

Memory

24.8MiB live, 575.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 182×	`lower-fma.f32`
6 180×	`lower-fma.f64`
3 948×	`lower-/.f32`
3 938×	`lower-/.f64`
3 512×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
0	27	44
1	96	39
2	448	39
3	4294	39
0	8586	38

Stop Event

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

Counts

10 → 702

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 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 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal 9 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64)) (.f64 x (-.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 x (-.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 x #s(literal 6 binary64) (.f64 x (.f64 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) (.f64 x (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (/.f64 (.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal 6 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 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x #s(literal -2 binary64)) (.f64 x (*.f64 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 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 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)) #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (.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 (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 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 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 2 binary64)) #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 6 binary64) x (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal 6 binary64)) #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal 9 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal -6 binary64)) (.f64 x (*.f64 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 #s(literal -9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -9 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -6 binary64) (neg.f64 x) (.f64 x (.f64 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 #s(literal 9 binary64) (.f64 x (neg.f64 x)) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 9 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) (neg.f64 x) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -6 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -9 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (/.f64 (.f64 x #s(literal -9 binary64)) #s(literal -1 binary64)) (neg.f64 x) (.f64 x #s(literal 6 binary64)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 1/2 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 (.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))) (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))) #s(literal -3 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) x (*.f64 x #s(literal 6 binary64)))
(neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal -6 binary64))))
(neg.f64 (fma.f64 x #s(literal -6 binary64) (.f64 x (.f64 x #s(literal 9 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 #s(literal -3 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal 4 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (.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 (-.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)) #s(literal 4 binary64)) (.f64 x (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)) (.f64 x (fma.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -12 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal 4 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (-.f64 (.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 (-.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal -6 binary64)) #s(literal 4 binary64)) (.f64 x (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)) (.f64 x (fma.f64 #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -12 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81 binary64) (.f64 (.f64 x (.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)))) (fma.f64 (.f64 x x) #s(literal 36 binary64) (/.f64 (.f64 x (-.f64 (.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal -1/9 binary64) (.f64 x x)))))
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(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x #s(literal 9 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -9 binary64))
(.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 x #s(literal -9 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (/.f64 x #s(literal -1 binary64)) (.f64 x #s(literal 9 binary64)))
(.f64 (pow.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (*.f64 x #s(literal -9 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64))) (.f64 x #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))) (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3 binary64)))) #s(literal -3 binary64))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) x)
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -9 binary64)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x #s(literal -9 binary64)))) #s(literal 1 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 -1/9 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal -1/9 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1/9 binary64) (neg.f64 x))
(/.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 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 1/3 binary64) (*.f64 x #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal -3 binary64))
(/.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 3 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(.f64 (pow.f64 (.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))) #s(literal 1/3 binary64))

simplify212.0ms (3.3%)

Memory

25.7MiB live, 252.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 528×	`lower-fma.f64`
3 528×	`lower-fma.f32`
3 302×	`lower-*.f64`
3 302×	`lower-*.f32`
1 516×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	464
1	71	464
2	124	464
3	260	464
4	560	464
5	706	464
6	1522	464
7	4594	464
8	6898	464
0	8095	446

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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))
(* 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)))))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* -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))
(* -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)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* -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))
(/ -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)

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

eval105.0ms (1.6%)

Memory: -2.0MiB live, 222.0MiB allocated
Compiler: Compiled 10 853 to 1 482 computations (86.3% saved)

prune91.0ms (1.4%)

Memory

-30.7MiB live, 189.3MiB allocated

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	838	3	841
Fresh	2	0	2
Picked	1	4	5
Done	0	7	7
Total	841	14	855

Accuracy

100.0%

Counts

855 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	99.6%	(/.f64 (+.f64 x #s(literal -2/3 binary64)) (/.f64 #s(literal -1/9 binary64) x))
	47.0%	(/.f64 (*.f64 x x) #s(literal -1/9 binary64))
✓	54.5%	(/.f64 x #s(literal 1/6 binary64))
✓	54.5%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) x))
	54.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
✓	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	99.7%	(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
✓	47.0%	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
✓	47.0%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
✓	46.9%	(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
✓	47.0%	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	54.6%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 273 to 146 computations (46.5% saved)

regimes18.0ms (0.3%)

Memory

-1.0MiB live, 39.1MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 6 binary64))
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -9 binary64) x) x)
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(/.f64 x #s(literal 1/6 binary64))
(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
(.f64 (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)))
(.f64 (.f64 x (*.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 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 x x) #s(literal -1/9 binary64))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(fma.f64 (.f64 (.f64 x #s(literal -3 binary64)) x) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
(/.f64 (+.f64 x #s(literal -2/3 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 216 binary64))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))

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

Calls

2 calls:

11.0ms	x
7.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	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

-21.7MiB live, 16.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	(.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
99.7%	1	`x`
99.7%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.6%	3	`x`
96.6%	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

9.2MiB live, 9.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 6 binary64))

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

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
54.6%	1	`x`
54.6%	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	-9279.490901609599	-0.06683240138972733

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify10.0ms (0.1%)

Memory

-15.6MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	44
1	40	44
2	60	44
3	70	44
4	77	44
5	79	44

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
(*.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 -5000 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)) (.f64 x #s(literal 6 binary64)))
(*.f64 x #s(literal 6 binary64))

Outputs
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (-.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) x)
(.f64 x (-.f64 #s(literal 6 binary64) (.f64 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 -5000 binary64)) (.f64 #s(literal -9 binary64) (.f64 x x)) (.f64 x #s(literal 6 binary64)))
(if (<=.f64 (.f64 x (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))) #s(literal -5000 binary64)) (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(*.f64 x #s(literal 6 binary64))

soundness563.0ms (8.8%)

Memory

-9.6MiB live, 349.0MiB 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 83 to 49 computations (41% saved)

preprocess91.0ms (1.4%)

Memory: -9.5MiB live, 82.3MiB allocated
Compiler: Compiled 130 to 72 computations (44.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	77
0	31	76
1	51	73
2	75	73
3	117	73
4	150	73
5	181	73
6	222	73
7	314	73
8	374	73
9	415	73
10	581	73
11	601	73
12	609	73
0	609	69

Iter	Nodes	Cost
0	20	95
0	35	89
1	65	89
2	106	89
3	190	88
4	243	88
5	290	88
6	325	88
7	334	88
8	344	88
9	357	88
10	383	88
11	419	88
12	436	88
13	437	88
0	437	87

Iter	Nodes	Cost
0	18	77
0	31	76
1	51	73
2	75	73
3	117	73
4	150	73
5	181	73
6	222	73
7	314	73
8	374	73
9	415	73
10	581	73
11	601	73
12	609	73
0	609	69

Iter	Nodes	Cost
0	20	95
0	35	89
1	65	89
2	106	89
3	190	88
4	243	88
5	290	88
6	325	88
7	334	88
8	344	88
9	357	88
10	383	88
11	419	88
12	436	88
13	437	88
0	437	87

analyze0.0ms (0%)

sample719.0ms (11.2%)

preprocess82.0ms (1.3%)

explain93.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify46.0ms (0.7%)

localize28.0ms (0.4%)

series3.0ms (0.1%)

rewrite540.0ms (8.4%)

simplify341.0ms (5.3%)

eval125.0ms (1.9%)

prune118.0ms (1.8%)

simplify30.0ms (0.5%)

localize79.0ms (1.2%)

series8.0ms (0.1%)

rewrite401.0ms (6.3%)

simplify218.0ms (3.4%)

eval163.0ms (2.5%)

prune80.0ms (1.2%)

simplify30.0ms (0.5%)

localize88.0ms (1.4%)

series6.0ms (0.1%)

rewrite607.0ms (9.5%)

simplify365.0ms (5.7%)

eval237.0ms (3.7%)

prune117.0ms (1.8%)

simplify10.0ms (0.2%)

localize216.0ms (3.4%)

series3.0ms (0%)

rewrite546.0ms (8.5%)

simplify212.0ms (3.3%)

eval105.0ms (1.6%)

prune91.0ms (1.4%)

regimes18.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness563.0ms (8.8%)

preprocess91.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	77
0	31	76
1	51	73
2	75	73
3	117	73
4	150	73
5	181	73
6	222	73
7	314	73
8	374	73
9	415	73
10	581	73
11	601	73
12	609	73
0	609	69

Iter	Nodes	Cost
0	20	95
0	35	89
1	65	89
2	106	89
3	190	88
4	243	88
5	290	88
6	325	88
7	334	88
8	344	88
9	357	88
10	383	88
11	419	88
12	436	88
13	437	88
0	437	87