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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample926.0ms (11.4%)

Memory

26.8MiB live, 1 088.9MiB allocated

Samples

389.0ms	7 631×	0	valid
100.0ms	291×	2	valid
25.0ms	334×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

ival-mult: 294.0ms (79.9% of total)

ival-sub: 49.0ms (13.3% of total)

adjust: 8.0ms (2.2% of total)

exact: 8.0ms (2.2% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess78.0ms (1%)

Memory

-0.8MiB live, 115.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain92.0ms (1.1%)

Memory

22.2MiB live, 262.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms	414×	0	valid
7.0ms	40×	2	valid
5.0ms	54×	1	valid
1.0ms	4×	3	valid

Compiler

Compiled 78 to 32 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 13.0ms (69.4% of total)

ival-sub: 3.0ms (16% of total)

adjust: 1.0ms (5.3% of total)

exact: 1.0ms (5.3% 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

1.7MiB live, 1.7MiB 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 (0.6%)

Memory

-15.9MiB live, 61.0MiB 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

localize35.0ms (0.4%)

Memory

-4.9MiB live, 81.2MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

19.0ms	207×	0	valid
4.0ms	20×	2	valid
2.0ms	27×	1	valid
0.0ms	2×	3	valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sub: 9.0ms (51.2% of total)

ival-mult: 8.0ms (45.5% of total)

adjust: 1.0ms (5.7% 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%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite858.0ms (10.5%)

Memory

-162.3MiB live, 740.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 850

Calls

Call 1

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

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

simplify181.0ms (2.2%)

Memory

36.9MiB live, 312.0MiB 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))

eval279.0ms (3.4%)

Memory: -30.5MiB live, 250.3MiB allocated
Compiler: Compiled 20 420 to 2 295 computations (88.8% saved)

prune156.0ms (1.9%)

Memory

5.2MiB live, 245.0MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Accuracy

100.0%

Counts

899 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	99.5%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
	51.1%	(/.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 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
	99.7%	(.f64 (/.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))))) x)
	99.8%	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
▶	49.9%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
▶	50.0%	(.f64 (.f64 #s(literal -9 binary64) x) x)
▶	52.7%	(*.f64 x #s(literal 6 binary64))
	50.0%	(.f64 #s(literal -9 binary64) (.f64 x x))

Compiler

Compiled 174 to 128 computations (26.4% saved)

simplify8.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

70×	`lower-*.f32`
56×	`lower-*.f64`
36×	`lower-fma.f32`
32×	`lower-fma.f64`
26×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	74
0	31	70
1	49	66
2	66	66
3	86	66
4	92	66
0	92	66

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

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

localize240.0ms (2.9%)

Memory

9.7MiB live, 86.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
✓	accuracy	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
✓	accuracy	99.5%	(.f64 #s(literal 3 binary64) (.f64 x #s(literal -3 binary64)))
✓	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	99.8%	(.f64 (.f64 x x) #s(literal -9 binary64))

Samples

204.0ms	207×	0	valid
9.0ms	34×	2	valid
4.0ms	11×	3	valid
1.0ms	3×	1	valid
0.0ms	1×	5	exit

Compiler

Compiled 76 to 21 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-div: 147.0ms (88.3% of total)

ival-mult: 14.0ms (8.4% of total)

ival-add: 3.0ms (1.8% of total)

adjust: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series6.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB 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 3 binary64) (.f64 x #s(literal -3 binary64)))>
#<alt (.f64 (.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)>
#<alt (*.f64 x #s(literal -3 binary64))>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))>
#<alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))>

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

Calls

36 calls:

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

rewrite684.0ms (8.4%)

Memory

0.6MiB live, 545.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 998×	`lower-fma.f32`
8 994×	`lower-fma.f64`
6 178×	`lower-*.f32`
6 164×	`lower-*.f64`
2 030×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	60
0	31	56
1	92	52
2	490	52
3	5086	52
0	9400	52

Stop Event

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

Counts

12 → 775

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

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

simplify292.0ms (3.6%)

Memory

10.1MiB live, 500.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 582×	`lower-fma.f64`
8 582×	`lower-fma.f32`
2 454×	`lower-*.f64`
2 454×	`lower-*.f32`
1 484×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	674
1	194	670
2	422	664
3	860	664
4	1856	664
5	3687	664
6	6315	664
0	8175	631

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

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

eval128.0ms (1.6%)

Memory: 8.6MiB live, 201.8MiB allocated
Compiler: Compiled 16 483 to 1 457 computations (91.2% saved)

prune101.0ms (1.2%)

Memory

-28.9MiB live, 161.5MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	912	7	919
Fresh	4	1	5
Picked	2	3	5
Done	0	0	0
Total	918	11	929

Accuracy

100.0%

Counts

929 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	63.3%	(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
	93.2%	(/.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)))
▶	50.0%	(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
	52.5%	(/.f64 x #s(literal 1/6 binary64))
	52.6%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
▶	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	50.0%	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
▶	50.0%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	50.0%	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	52.7%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 165 to 119 computations (27.9% saved)

simplify429.0ms (5.3%)

Memory

8.8MiB live, 504.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))
✓	cost-diff	0	(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
✓	cost-diff	128	(-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 x #s(literal -9 binary64))
✓	cost-diff	1088	(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	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

12 356×	`lower-fma.f32`
12 350×	`lower-fma.f64`
2 938×	`lower-*.f32`
2 918×	`lower-*.f64`
2 236×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	124
0	47	112
1	85	112
2	139	112
3	217	112
4	282	112
5	355	112
6	518	112
7	647	112
8	755	112
9	1458	112
10	2467	111
11	3070	111
12	3398	111
13	4195	111
14	6565	111
0	8023	108

Stop Event

1×	iter limit
1×	node limit
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 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal -9 binary64))
x
#s(literal -9 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))
x
(fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal -729 binary64)
#s(literal 216 binary64)
(fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))
(-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))
(*.f64 x #s(literal 81 binary64))
#s(literal 81 binary64)
#s(literal -54 binary64)
#s(literal 36 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 #s(literal -9 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal -9 binary64)
(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 3 binary64)))
x
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -3 binary64)
(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -9 binary64) (.f64 x x))
(*.f64 x #s(literal -9 binary64))
x
#s(literal -9 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(/.f64 (.f64 x (fma.f64 x (.f64 (*.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)))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal -729 binary64)) #s(literal 216 binary64)))
x
(fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))
(fma.f64 x (.f64 (.f64 x x) #s(literal -729 binary64)) #s(literal 216 binary64))
(.f64 x (.f64 x 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))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(*.f64 x #s(literal 81 binary64))
#s(literal 81 binary64)
#s(literal -54 binary64)
#s(literal 36 binary64)

localize85.0ms (1%)

Memory

-17.6MiB live, 178.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))
✓	accuracy	99.9%	(fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	63.4%	(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -9 binary64))
✓	accuracy	99.7%	(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓	accuracy	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Samples

41.0ms	227×	0	valid
6.0ms	13×	2	valid
4.0ms	15×	1	valid
1.0ms	1×	4	valid

Compiler

Compiled 126 to 32 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 18.0ms (52.6% of total)

ival-div: 8.0ms (23.4% of total)

ival-add: 4.0ms (11.7% of total)

adjust: 1.0ms (2.9% of total)

exact: 1.0ms (2.9% of total)

ival-sub: 1.0ms (2.9% of total)

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

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

series9.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

16 → 192

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 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x #s(literal -9 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))>
#<alt (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))>
#<alt (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))>
#<alt (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))>
#<alt (.f64 x (.f64 x x))>
#<alt (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 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 (* -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 (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt 54>
#<alt (+ 54 (* 81 x))>
#<alt (+ 54 (* 81 x))>
#<alt (+ 54 (* 81 x))>
#<alt (* 81 x)>
#<alt (* x (+ 81 (* 54 (/ 1 x))))>
#<alt (* x (+ 81 (* 54 (/ 1 x))))>
#<alt (* x (+ 81 (* 54 (/ 1 x))))>
#<alt (* 81 x)>
#<alt (* x (+ 81 (* 54 (/ 1 x))))>
#<alt (* x (+ 81 (* 54 (/ 1 x))))>
#<alt (* x (+ 81 (* 54 (/ 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 (* 216 x)>
#<alt (* x (+ 216 (* -729 (pow x 3))))>
#<alt (* x (+ 216 (* -729 (pow x 3))))>
#<alt (* x (+ 216 (* -729 (pow x 3))))>
#<alt (* -729 (pow x 4))>
#<alt (* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* -729 (pow x 4))>
#<alt (* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt 216>
#<alt (+ 216 (* -729 (pow x 3)))>
#<alt (+ 216 (* -729 (pow x 3)))>
#<alt (+ 216 (* -729 (pow x 3)))>
#<alt (* -729 (pow x 3))>
#<alt (* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))>
#<alt (* -729 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 36>
#<alt (+ 36 (* 54 x))>
#<alt (+ 36 (* x (+ 54 (* 81 x))))>
#<alt (+ 36 (* x (+ 54 (* 81 x))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (+ 81 (* 54 (/ 1 x))))>
#<alt (* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))>
#<alt (* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (+ 81 (* 54 (/ 1 x))))>
#<alt (* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))>
#<alt (* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))>

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* (* x (* x 3)) -3)
1.0ms	x	@	inf	(/ (* x (+ (* (* x (* x x)) -729) 216)) (+ (* x (- (* x 81) -54)) 36))
1.0ms	x	@	-inf	(/ (* x (+ (* (* x (* x x)) -729) 216)) (+ (* x (- (* x 81) -54)) 36))
1.0ms	x	@	0	(/ (* x (+ (* (* x (* x x)) -729) 216)) (+ (* x (- (* x 81) -54)) 36))
0.0ms	x	@	-inf	(* x (+ (* (* x (* x x)) -729) 216))

rewrite437.0ms (5.4%)

Memory

14.9MiB live, 611.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 360×	`lower-fma.f32`
9 354×	`lower-fma.f64`
6 436×	`lower-*.f32`
6 416×	`lower-*.f64`
3 608×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	101
0	47	78
1	162	78
2	900	78
0	8796	76

Stop Event

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

Counts

16 → 1 415

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

Outputs
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 #s(literal 6 binary64) x))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -729 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (*.f64 x #s(literal 216 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (.f64 x #s(literal 216 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -729 binary64))))))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal -729 binary64))) #s(literal 216 binary64))) (fma.f64 x (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))))) #s(literal 46656 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))))) (.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal -729 binary64))) #s(literal 216 binary64))) (fma.f64 x (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))))) #s(literal 46656 binary64))) (-.f64 #s(literal 1296 binary64) (.f64 x (*.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))) (fma.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (*.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) #s(literal 3 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -157464 binary64)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) (fma.f64 (.f64 x x) #s(literal 2916 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) (.f64 x #s(literal -54 binary64))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64))) (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6561 binary64)))) (-.f64 (+.f64 #s(literal 36 binary64) (.f64 x #s(literal 54 binary64))) (.f64 x (.f64 x #s(literal 81 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64)))) (.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (*.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64)))))
(/.f64 (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (.f64 (.f64 x x) #s(literal 2916 binary64))) (+.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)) (*.f64 x #s(literal -54 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -36 binary64) (.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))))
(.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))))) #s(literal 46656 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))) #s(literal 1296 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))))))
(.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))))) #s(literal 46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1296 binary64) (.f64 (*.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))))))
(.f64 (fma.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (.f64 (*.f64 x x) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) #s(literal -1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal -36 binary64))))
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(.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (.f64 (*.f64 x x) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))) #s(literal -1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (neg.f64 x) #s(literal 36 binary64))))
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(.f64 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 36 binary64) (*.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))))))
(.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (.f64 x #s(literal -54 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (.f64 x #s(literal -54 binary64)))))

simplify265.0ms (3.3%)

Memory

-3.3MiB live, 320.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 392×	`lower-fma.f64`
4 392×	`lower-fma.f32`
3 740×	`lower-*.f64`
3 740×	`lower-*.f32`
1 504×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	932
1	161	932
2	369	928
3	987	928
4	2363	928
5	4717	928
0	8397	859

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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)
(* -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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
54
(+ 54 (* 81 x))
(+ 54 (* 81 x))
(+ 54 (* 81 x))
(* 81 x)
(* x (+ 81 (* 54 (/ 1 x))))
(* x (+ 81 (* 54 (/ 1 x))))
(* x (+ 81 (* 54 (/ 1 x))))
(* 81 x)
(* x (+ 81 (* 54 (/ 1 x))))
(* x (+ 81 (* 54 (/ 1 x))))
(* x (+ 81 (* 54 (/ 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))
(* 216 x)
(* x (+ 216 (* -729 (pow x 3))))
(* x (+ 216 (* -729 (pow x 3))))
(* x (+ 216 (* -729 (pow x 3))))
(* -729 (pow x 4))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(* -729 (pow x 4))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
216
(+ 216 (* -729 (pow x 3)))
(+ 216 (* -729 (pow x 3)))
(+ 216 (* -729 (pow x 3)))
(* -729 (pow x 3))
(* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))
(* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))
(* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))
(* -729 (pow x 3))
(* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
36
(+ 36 (* 54 x))
(+ 36 (* x (+ 54 (* 81 x))))
(+ 36 (* x (+ 54 (* 81 x))))
(* 81 (pow x 2))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))

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 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))
(* -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)))
(* -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))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
54
#s(literal 54 binary64)
(+ 54 (* 81 x))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(+ 54 (* 81 x))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(+ 54 (* 81 x))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* x (+ 81 (* 54 (/ 1 x))))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(* x (+ 81 (* 54 (/ 1 x))))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(* x (+ 81 (* 54 (/ 1 x))))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* x (+ 81 (* 54 (/ 1 x))))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(* x (+ 81 (* 54 (/ 1 x))))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(* x (+ 81 (* 54 (/ 1 x))))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 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)))
(* 216 x)
(*.f64 x #s(literal 216 binary64))
(* x (+ 216 (* -729 (pow x 3))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))) #s(literal 216 binary64)))
(* x (+ 216 (* -729 (pow x 3))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))) #s(literal 216 binary64)))
(* x (+ 216 (* -729 (pow x 3))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))) #s(literal 216 binary64)))
(* -729 (pow x 4))
(.f64 #s(literal -729 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))) #s(literal 216 binary64)))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))) #s(literal 216 binary64)))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))) #s(literal 216 binary64)))
(* -729 (pow x 4))
(.f64 #s(literal -729 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))) #s(literal 216 binary64)))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))) #s(literal 216 binary64)))
(* (pow x 4) (- (* 216 (/ 1 (pow x 3))) 729))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))) #s(literal 216 binary64)))
216
#s(literal 216 binary64)
(+ 216 (* -729 (pow x 3)))
(fma.f64 x (.f64 x (.f64 x #s(literal -729 binary64))) #s(literal 216 binary64))
(+ 216 (* -729 (pow x 3)))
(fma.f64 x (.f64 x (.f64 x #s(literal -729 binary64))) #s(literal 216 binary64))
(+ 216 (* -729 (pow x 3)))
(fma.f64 x (.f64 x (.f64 x #s(literal -729 binary64))) #s(literal 216 binary64))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))
(fma.f64 x (.f64 x (.f64 x #s(literal -729 binary64))) #s(literal 216 binary64))
(* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))
(fma.f64 x (.f64 x (.f64 x #s(literal -729 binary64))) #s(literal 216 binary64))
(* (pow x 3) (- (* 216 (/ 1 (pow x 3))) 729))
(fma.f64 x (.f64 x (.f64 x #s(literal -729 binary64))) #s(literal 216 binary64))
(* -729 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -729 binary64))))
(* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))
(fma.f64 x (.f64 x (.f64 x #s(literal -729 binary64))) #s(literal 216 binary64))
(* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))
(fma.f64 x (.f64 x (.f64 x #s(literal -729 binary64))) #s(literal 216 binary64))
(* -1 (* (pow x 3) (- 729 (* 216 (/ 1 (pow x 3))))))
(fma.f64 x (.f64 x (.f64 x #s(literal -729 binary64))) #s(literal 216 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
36
#s(literal 36 binary64)
(+ 36 (* 54 x))
(fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))
(+ 36 (* x (+ 54 (* 81 x))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(+ 36 (* x (+ 54 (* 81 x))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(* 81 (pow x 2))
(.f64 x (.f64 x #s(literal 81 binary64)))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(* 81 (pow x 2))
(.f64 x (.f64 x #s(literal 81 binary64)))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))

eval276.0ms (3.4%)

Memory: -9.2MiB live, 499.2MiB allocated
Compiler: Compiled 39 730 to 2 970 computations (92.5% saved)

prune267.0ms (3.3%)

Memory

11.1MiB live, 286.8MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1 646	2	1 648
Fresh	1	2	3
Picked	1	4	5
Done	0	3	3
Total	1 648	11	1 659

Accuracy

100.0%

Counts

1 659 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	93.2%	(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
▶	52.9%	(/.f64 (.f64 x #s(literal 216 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
✓	50.0%	(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	52.5%	(/.f64 x #s(literal 1/6 binary64))
▶	52.6%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
✓	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	50.0%	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
✓	50.0%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	50.0%	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	52.7%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 85 to 62 computations (27.1% saved)

simplify15.0ms (0.2%)

Memory

-8.8MiB live, 27.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 81 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
✓	cost-diff	0	(.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x)
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
✓	cost-diff	0	(fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 216 binary64))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 216 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
✓	cost-diff	128	(-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))
✓	cost-diff	0	(/.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	1088	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))

Rules

146×	`lower-*.f32`
140×	`lower-*.f64`
120×	`lower-fma.f32`
114×	`lower-fma.f64`
48×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	91
0	38	89
1	60	89
2	81	89
3	108	89
4	135	89
5	162	89
6	172	89
7	180	89
0	180	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(/.f64 (.f64 x #s(literal 216 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(/.f64 (*.f64 x #s(literal 216 binary64)) (fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64)))
(*.f64 x #s(literal 216 binary64))
x
#s(literal 216 binary64)
(fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(*.f64 x #s(literal 81 binary64))
#s(literal 81 binary64)
#s(literal -54 binary64)
#s(literal 36 binary64)
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
x
(*.f64 x #s(literal 81 binary64))
#s(literal 81 binary64)
#s(literal -36 binary64)
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))
#s(literal -9 binary64)
#s(literal -6 binary64)

localize148.0ms (1.8%)

Memory

-17.4MiB live, 317.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 81 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
✓	accuracy	99.9%	(.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x)
✓	accuracy	95.6%	(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 81 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))
✓	accuracy	99.9%	(fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))
✓	accuracy	84.4%	(/.f64 (.f64 x #s(literal 216 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
✓	accuracy	99.7%	(/.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))

Samples

81.0ms	90×	5	exit
30.0ms	149×	0	valid
3.0ms	10×	1	valid
2.0ms	4×	3	valid
1.0ms	3×	2	valid

Compiler

Compiled 93 to 28 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-div: 28.0ms (37.4% of total)

adjust: 15.0ms (20% of total)

const: 13.0ms (17.4% of total)

ival-mult: 11.0ms (14.7% of total)

ival-add: 5.0ms (6.7% of total)

ival-sub: 2.0ms (2.7% of total)

exact: 1.0ms (1.3% of total)

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

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

series8.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 x #s(literal 1/6 binary64))>
#<alt (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))>
#<alt (/.f64 (.f64 x #s(literal 216 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))>
#<alt (*.f64 x #s(literal 216 binary64))>
#<alt (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))>
#<alt (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))>
#<alt (.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x)>
#<alt (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))>
#<alt (*.f64 x #s(literal 81 binary64))>

Outputs
#<alt (* 6 x)>
#<alt (* 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 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 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 54>
#<alt (+ 54 (* 81 x))>
#<alt (+ 54 (* 81 x))>
#<alt (+ 54 (* 81 x))>
#<alt (* 81 x)>
#<alt (* x (+ 81 (* 54 (/ 1 x))))>
#<alt (* x (+ 81 (* 54 (/ 1 x))))>
#<alt (* x (+ 81 (* 54 (/ 1 x))))>
#<alt (* 81 x)>
#<alt (* x (+ 81 (* 54 (/ 1 x))))>
#<alt (* x (+ 81 (* 54 (/ 1 x))))>
#<alt (* x (+ 81 (* 54 (/ 1 x))))>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* x (- (* 81/4 (pow x 2)) 9))))>
#<alt (* x (+ 6 (* x (- (* (pow x 2) (+ 81/4 (* -243/8 x))) 9))))>
#<alt (/ 8/3 x)>
#<alt (/ (- 8/3 (* 16/9 (/ 1 x))) x)>
#<alt (/ (- (+ 8/3 (/ 64/81 (pow x 3))) (* 16/9 (/ 1 x))) x)>
#<alt (/ (- (+ 8/3 (/ 64/81 (pow x 3))) (+ (* 16/9 (/ 1 x)) (* 128/243 (/ 1 (pow x 4))))) x)>
#<alt (/ 8/3 x)>
#<alt (* -1 (/ (- (* 16/9 (/ 1 x)) 8/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 64/81 (/ 1 (pow x 2))) 16/9) x)) 8/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 64/81 (/ 1 (pow x 2))) (+ 16/9 (/ 128/243 (pow x 3)))) x)) 8/3) x))>
#<alt (* 216 x)>
#<alt (* 216 x)>
#<alt (* 216 x)>
#<alt (* 216 x)>
#<alt (* 216 x)>
#<alt (* 216 x)>
#<alt (* 216 x)>
#<alt (* 216 x)>
#<alt (* 216 x)>
#<alt (* 216 x)>
#<alt (* 216 x)>
#<alt (* 216 x)>
#<alt 36>
#<alt (+ 36 (* 54 x))>
#<alt (+ 36 (* x (+ 54 (* 81 x))))>
#<alt (+ 36 (* x (+ 54 (* 81 x))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (+ 81 (* 54 (/ 1 x))))>
#<alt (* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))>
#<alt (* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (+ 81 (* 54 (/ 1 x))))>
#<alt (* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))>
#<alt (* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -36 x)>
#<alt (* x (- (* 81 (pow x 2)) 36))>
#<alt (* x (- (* 81 (pow x 2)) 36))>
#<alt (* x (- (* 81 (pow x 2)) 36))>
#<alt (* 81 (pow x 3))>
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))>
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))>
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))>
#<alt -36>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (* (+ (* x (* x 81)) -36) x) (+ (* x -9) -6))
1.0ms	x	@	inf	(/ (* (+ (* x (* x 81)) -36) x) (+ (* x -9) -6))
0.0ms	x	@	-inf	(/ (* (+ (* x (* x 81)) -36) x) (+ (* x -9) -6))
0.0ms	x	@	inf	(/ (* x 216) (+ (* x (- (* x 81) -54)) 36))
0.0ms	x	@	inf	(* x 216)

rewrite776.0ms (9.5%)

Memory

-25.2MiB live, 548.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 726×	`lower-fma.f32`
7 720×	`lower-fma.f64`
5 766×	`lower-*.f32`
5 760×	`lower-*.f64`
4 126×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	69
0	38	67
1	151	61
2	897	61
0	8531	57

Stop Event

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

Counts

11 → 705

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -6 binary64)))
(neg.f64 (*.f64 x #s(literal -6 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 x #s(literal 1/6 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/6 binary64) x))
(/.f64 (neg.f64 x) #s(literal -1/6 binary64))
(/.f64 (*.f64 x #s(literal -6 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 6 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) x))
(*.f64 x #s(literal 6 binary64))
(.f64 (.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -6 binary64) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(literal 6 binary64)))
(*.f64 (neg.f64 x) #s(literal -6 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -6 binary64)))
(neg.f64 (*.f64 x #s(literal -6 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 x #s(literal 1/6 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/6 binary64) x))
(/.f64 (neg.f64 x) #s(literal -1/6 binary64))
(/.f64 (*.f64 x #s(literal -6 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 6 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) x))
(*.f64 x #s(literal 6 binary64))
(.f64 (.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -6 binary64) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(literal 6 binary64)))
(*.f64 (neg.f64 x) #s(literal -6 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))
(+.f64 #s(literal 54 binary64) (*.f64 x #s(literal 81 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) (fma.f64 x (.f64 x #s(literal 6561 binary64)) (fma.f64 x #s(literal -4374 binary64) #s(literal 2916 binary64)))) (neg.f64 (/.f64 #s(literal -157464 binary64) (fma.f64 x (*.f64 x #s(literal 6561 binary64)) (fma.f64 x #s(literal -4374 binary64) #s(literal 2916 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal -54 binary64))) (neg.f64 (/.f64 #s(literal 2916 binary64) (fma.f64 x #s(literal 81 binary64) #s(literal -54 binary64)))))
(-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) (fma.f64 x (.f64 x #s(literal 6561 binary64)) (fma.f64 x #s(literal -4374 binary64) #s(literal 2916 binary64)))) (/.f64 #s(literal -157464 binary64) (fma.f64 x (*.f64 x #s(literal 6561 binary64)) (fma.f64 x #s(literal -4374 binary64) #s(literal 2916 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) (fma.f64 x #s(literal 81 binary64) #s(literal -54 binary64))) (/.f64 #s(literal 2916 binary64) (fma.f64 x #s(literal 81 binary64) #s(literal -54 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 6561 binary64)) #s(literal 2916 binary64)) (.f64 x #s(literal 4374 binary64)))) (/.f64 #s(literal -157464 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 6561 binary64)) #s(literal 2916 binary64)) (*.f64 x #s(literal 4374 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(fma.f64 #s(literal 81 binary64) x #s(literal 54 binary64))
(fma.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 1 binary64) #s(literal 54 binary64))
(fma.f64 #s(literal -9 binary64) (*.f64 x #s(literal -9 binary64)) #s(literal 54 binary64))
(fma.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -9 binary64) #s(literal 54 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 81 binary64)) #s(literal 54 binary64))
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(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64)) (.f64 x (.f64 x x)) #s(literal -46656 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) (.f64 x x) #s(literal 1296 binary64)) (.f64 (*.f64 x x) #s(literal 2916 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) (.f64 x x) #s(literal -1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))))
(.f64 (-.f64 #s(literal 1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -36 binary64) (.f64 x (*.f64 x #s(literal 81 binary64))))))
(/.f64 #s(literal 81 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -81 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal 81 binary64) (neg.f64 x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 81 binary64)))
(*.f64 x #s(literal 81 binary64))
(*.f64 #s(literal 81 binary64) x)
(.f64 (.f64 x #s(literal 81 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -9 binary64) (.f64 x #s(literal -9 binary64)))
(.f64 (.f64 x #s(literal -9 binary64)) #s(literal -9 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) #s(literal 81 binary64)))
(*.f64 #s(literal -81 binary64) (neg.f64 x))

simplify315.0ms (3.9%)

Memory

40.6MiB live, 506.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 194×	`lower-fma.f64`
9 194×	`lower-fma.f32`
2 432×	`lower-*.f64`
2 432×	`lower-*.f32`
2 104×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	688
1	284	688
2	645	684
3	1542	684
4	3733	684
5	7459	684
0	8073	627

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 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)
54
(+ 54 (* 81 x))
(+ 54 (* 81 x))
(+ 54 (* 81 x))
(* 81 x)
(* x (+ 81 (* 54 (/ 1 x))))
(* x (+ 81 (* 54 (/ 1 x))))
(* x (+ 81 (* 54 (/ 1 x))))
(* 81 x)
(* x (+ 81 (* 54 (/ 1 x))))
(* x (+ 81 (* 54 (/ 1 x))))
(* x (+ 81 (* 54 (/ 1 x))))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* x (- (* 81/4 (pow x 2)) 9))))
(* x (+ 6 (* x (- (* (pow x 2) (+ 81/4 (* -243/8 x))) 9))))
(/ 8/3 x)
(/ (- 8/3 (* 16/9 (/ 1 x))) x)
(/ (- (+ 8/3 (/ 64/81 (pow x 3))) (* 16/9 (/ 1 x))) x)
(/ (- (+ 8/3 (/ 64/81 (pow x 3))) (+ (* 16/9 (/ 1 x)) (* 128/243 (/ 1 (pow x 4))))) x)
(/ 8/3 x)
(* -1 (/ (- (* 16/9 (/ 1 x)) 8/3) x))
(* -1 (/ (- (* -1 (/ (- (* 64/81 (/ 1 (pow x 2))) 16/9) x)) 8/3) x))
(* -1 (/ (- (* -1 (/ (- (* 64/81 (/ 1 (pow x 2))) (+ 16/9 (/ 128/243 (pow x 3)))) x)) 8/3) x))
(* 216 x)
(* 216 x)
(* 216 x)
(* 216 x)
(* 216 x)
(* 216 x)
(* 216 x)
(* 216 x)
(* 216 x)
(* 216 x)
(* 216 x)
(* 216 x)
36
(+ 36 (* 54 x))
(+ 36 (* x (+ 54 (* 81 x))))
(+ 36 (* x (+ 54 (* 81 x))))
(* 81 (pow x 2))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -36 x)
(* x (- (* 81 (pow x 2)) 36))
(* x (- (* 81 (pow x 2)) 36))
(* x (- (* 81 (pow x 2)) 36))
(* 81 (pow x 3))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* 81 (pow x 3))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
-36
(- (* 81 (pow x 2)) 36)
(- (* 81 (pow x 2)) 36)
(- (* 81 (pow x 2)) 36)
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)

Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 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 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* 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)
54
#s(literal 54 binary64)
(+ 54 (* 81 x))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(+ 54 (* 81 x))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(+ 54 (* 81 x))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* x (+ 81 (* 54 (/ 1 x))))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(* x (+ 81 (* 54 (/ 1 x))))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(* x (+ 81 (* 54 (/ 1 x))))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* x (+ 81 (* 54 (/ 1 x))))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(* x (+ 81 (* 54 (/ 1 x))))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64))
(* x (+ 81 (* 54 (/ 1 x))))
(fma.f64 x #s(literal 81 binary64) #s(literal 54 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 (* x (- (* 81/4 (pow x 2)) 9))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal 81/4 binary64)) #s(literal -9 binary64)) #s(literal 6 binary64)))
(* x (+ 6 (* x (- (* (pow x 2) (+ 81/4 (* -243/8 x))) 9))))
(.f64 x (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(literal -243/8 binary64) #s(literal 81/4 binary64)) #s(literal -9 binary64)) #s(literal 6 binary64)))
(/ 8/3 x)
(/.f64 #s(literal 8/3 binary64) x)
(/ (- 8/3 (* 16/9 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -16/9 binary64) x)) x)
(/ (- (+ 8/3 (/ 64/81 (pow x 3))) (* 16/9 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 16/9 binary64) (/.f64 #s(literal -64/81 binary64) (*.f64 x x))) x)) x)
(/ (- (+ 8/3 (/ 64/81 (pow x 3))) (+ (* 16/9 (/ 1 x)) (* 128/243 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 128/243 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 16/9 binary64) (/.f64 #s(literal -64/81 binary64) (*.f64 x x)))) x)) x)
(/ 8/3 x)
(/.f64 #s(literal 8/3 binary64) x)
(* -1 (/ (- (* 16/9 (/ 1 x)) 8/3) x))
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -16/9 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 64/81 (/ 1 (pow x 2))) 16/9) x)) 8/3) x))
(/.f64 (-.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 16/9 binary64) (/.f64 #s(literal -64/81 binary64) (*.f64 x x))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 64/81 (/ 1 (pow x 2))) (+ 16/9 (/ 128/243 (pow x 3)))) x)) 8/3) x))
(/.f64 (-.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 128/243 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 16/9 binary64) (/.f64 #s(literal -64/81 binary64) (*.f64 x x)))) x)) x)
(* 216 x)
(*.f64 x #s(literal 216 binary64))
(* 216 x)
(*.f64 x #s(literal 216 binary64))
(* 216 x)
(*.f64 x #s(literal 216 binary64))
(* 216 x)
(*.f64 x #s(literal 216 binary64))
(* 216 x)
(*.f64 x #s(literal 216 binary64))
(* 216 x)
(*.f64 x #s(literal 216 binary64))
(* 216 x)
(*.f64 x #s(literal 216 binary64))
(* 216 x)
(*.f64 x #s(literal 216 binary64))
(* 216 x)
(*.f64 x #s(literal 216 binary64))
(* 216 x)
(*.f64 x #s(literal 216 binary64))
(* 216 x)
(*.f64 x #s(literal 216 binary64))
(* 216 x)
(*.f64 x #s(literal 216 binary64))
36
#s(literal 36 binary64)
(+ 36 (* 54 x))
(fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))
(+ 36 (* x (+ 54 (* 81 x))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(+ 36 (* x (+ 54 (* 81 x))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(* 81 (pow x 2))
(.f64 x (.f64 x #s(literal 81 binary64)))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(* 81 (pow x 2))
(.f64 x (.f64 x #s(literal 81 binary64)))
(* (pow x 2) (+ 81 (* 54 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 binary64))
(* (pow x 2) (+ 81 (+ (* 54 (/ 1 x)) (/ 36 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 54 binary64)) #s(literal 36 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)))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
(* x (- (* 81 (pow x 2)) 36))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* x (- (* 81 (pow x 2)) 36))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* x (- (* 81 (pow x 2)) 36))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* 81 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 81 binary64))))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* 81 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 81 binary64))))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
-36
#s(literal -36 binary64)
(- (* 81 (pow x 2)) 36)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(- (* 81 (pow x 2)) 36)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(- (* 81 (pow x 2)) 36)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(* 81 (pow x 2))
(.f64 x (.f64 x #s(literal 81 binary64)))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(* 81 (pow x 2))
(.f64 x (.f64 x #s(literal 81 binary64)))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))
(* 81 x)
(*.f64 x #s(literal 81 binary64))

eval121.0ms (1.5%)

Memory: 8.5MiB live, 204.0MiB allocated
Compiler: Compiled 19 771 to 2 027 computations (89.7% saved)

prune92.0ms (1.1%)

Memory

-16.2MiB live, 222.6MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	859	2	861
Fresh	0	0	0
Picked	2	2	4
Done	0	7	7
Total	861	11	872

Accuracy

100.0%

Counts

872 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	52.6%	(/.f64 (*.f64 x #s(literal 216 binary64)) #s(literal 36 binary64))
✓	50.0%	(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
	52.1%	(/.f64 (*.f64 x #s(literal -36 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
✓	52.5%	(/.f64 x #s(literal 1/6 binary64))
✓	52.6%	(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
✓	99.7%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	50.0%	(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))
✓	50.0%	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	50.0%	(.f64 (.f64 #s(literal -9 binary64) x) x)
✓	52.7%	(*.f64 x #s(literal 6 binary64))

Compiler

Compiled 257 to 127 computations (50.6% saved)

regimes16.0ms (0.2%)

Memory

-4.3MiB live, 37.3MiB allocated

Counts

22 → 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 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(.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 216 binary64)) #s(literal 36 binary64))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -36 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 (.f64 x #s(literal 216 binary64)) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 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 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(.f64 (/.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))))) x)

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

Calls

2 calls:

9.0ms	x
6.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-17.2MiB live, 21.4MiB allocated

Counts

10 → 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 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(.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 216 binary64)) #s(literal 36 binary64))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

8 → 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 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(.f64 (.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.7%	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

12.4MiB live, 12.4MiB 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
98.1%	3	`x`
98.1%	2	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.4MiB live, 8.4MiB 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
52.7%	1	`x`
52.7%	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)

bsearch1.0ms (0%)

Memory

-38.0MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1011327.4476596771	-3.8118889016313853e-7

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify8.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	45
1	37	45
2	49	45
3	55	45
4	59	45
5	60	45

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 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -1000000 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 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 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 -1000000 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 -1000000 binary64)) (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(*.f64 x #s(literal 6 binary64))

soundness681.0ms (8.4%)

Memory

-13.9MiB live, 346.0MiB 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 76 to 44 computations (42.1% saved)

preprocess58.0ms (0.7%)

Memory: 27.7MiB live, 141.1MiB allocated
Compiler: Compiled 132 to 74 computations (43.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample926.0ms (11.4%)

preprocess78.0ms (1%)

explain92.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify46.0ms (0.6%)

localize35.0ms (0.4%)

series3.0ms (0%)

rewrite858.0ms (10.5%)

simplify181.0ms (2.2%)

eval279.0ms (3.4%)

prune156.0ms (1.9%)

simplify8.0ms (0.1%)

localize240.0ms (2.9%)

series6.0ms (0.1%)

rewrite684.0ms (8.4%)

simplify292.0ms (3.6%)

eval128.0ms (1.6%)

prune101.0ms (1.2%)

simplify429.0ms (5.3%)

localize85.0ms (1%)

series9.0ms (0.1%)

rewrite437.0ms (5.4%)

simplify265.0ms (3.3%)

eval276.0ms (3.4%)

prune267.0ms (3.3%)

simplify15.0ms (0.2%)

localize148.0ms (1.8%)

series8.0ms (0.1%)

rewrite776.0ms (9.5%)

simplify315.0ms (3.9%)

eval121.0ms (1.5%)

prune92.0ms (1.1%)

regimes16.0ms (0.2%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

simplify8.0ms (0.1%)

soundness681.0ms (8.4%)

preprocess58.0ms (0.7%)

end0.0ms (0%)

Profiling