Metrics for Expanding a square

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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 7 computations (36.4% saved)

sample889.0ms (20.4%)

Memory

43.6MiB live, 716.0MiB allocated

Samples

351.0ms	2 372×	1	valid
183.0ms	4 284×	0	valid
152.0ms	1 600×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

ival-mult: 82.0ms (28.4% of total)

ival-add: 77.0ms (26.7% of total)

ival-sub: 66.0ms (22.9% of total)

adjust: 49.0ms (17% of total)

exact: 7.0ms (2.4% of total)

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

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

Bogosity

preprocess528.0ms (12.1%)

Memory

-24.1MiB live, 436.4MiB allocated

Algorithm

2×	egg-herbie

Rules

13 298×	`accelerator-lowering-fma.f32`
13 298×	`accelerator-lowering-fma.f64`
3 478×	`+-lowering-+.f64`
3 478×	`+-lowering-+.f32`
2 492×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	40	26
2	126	18
3	416	15
4	1800	15
5	3148	15
6	4311	15
7	5159	15
8	5585	15
9	5825	15
10	5828	15
11	5828	15
12	5949	15
13	6036	15
14	6209	15
15	6209	15
16	7593	15
17	7895	15
0	5	9
1	20	7
2	49	5
3	112	5
4	488	5
5	1673	5
6	4172	5
7	5948	5
8	7288	5
0	8163	5

Stop Event

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

Calls

Call 1

Inputs
(- (* (+ x 1) (+ x 1)) 1)

Outputs
(- (* (+ x 1) (+ x 1)) 1)
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))

Call 2

Inputs
(- (* (+ x 1) (+ x 1)) 1)
(- (* (+ (neg x) 1) (+ (neg x) 1)) 1)
(neg (- (* (+ (neg x) 1) (+ (neg x) 1)) 1))

Outputs
(- (* (+ x 1) (+ x 1)) 1)
(* x (+ x 2))
(- (* (+ (neg x) 1) (+ (neg x) 1)) 1)
(* x (+ x -2))
(neg (- (* (+ (neg x) 1) (+ (neg x) 1)) 1))
(* x (- 2 x))

explain94.0ms (2.2%)

Memory

-4.6MiB live, 120.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
110	-	-	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`	cancellation	110	0

Confusion

	Predicted +	Predicted -
+	110	0
-	0	146

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	110	0	0
-	0	0	146

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	146
1	110

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

13.0ms	298×	0	valid
10.0ms	90×	2	valid
9.0ms	124×	1	valid

Compiler

Compiled 66 to 24 computations (63.6% saved)

Precisions

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

ival-add: 5.0ms (29.7% of total)

ival-mult: 5.0ms (29.7% of total)

ival-sub: 4.0ms (23.7% of total)

adjust: 3.0ms (17.8% of total)

exact: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Compiler

Compiled 10 to 5 computations (50% saved)

simplify549.0ms (12.6%)

Memory

6.9MiB live, 320.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	192	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

New

Metric

Score

Program

✓

cost-diff

(+.f64 x #s(literal 1 binary64))

✓

cost-diff

128

(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

✓

cost-diff

192

(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Rules

13 298×	`accelerator-lowering-fma.f32`
13 298×	`accelerator-lowering-fma.f64`
3 478×	`+-lowering-+.f64`
3 478×	`+-lowering-+.f32`
2 492×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	21
1	20	19
2	49	17
3	112	17
4	488	17
5	1673	17
6	4172	17
7	5948	17
8	7288	17
0	8163	16

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (* (+ x 1) (+ x 1)) 1)
(* (+ x 1) (+ x 1))
(+ x 1)
x
1

Outputs
(- (* (+ x 1) (+ x 1)) 1)
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(* (+ x 1) (+ x 1))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)

localize23.0ms (0.5%)

Memory

-5.3MiB live, 25.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	61.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

New

Metric

Score

Program

✓

accuracy

100.0%

(+.f64 x #s(literal 1 binary64))

✓

accuracy

100.0%

(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

✓

accuracy

61.0%

(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Samples

5.0ms	149×	0	valid
5.0ms	45×	2	valid
4.0ms	62×	1	valid

Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions

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

ival-add: 2.0ms (24.8% of total)

ival-mult: 2.0ms (24.8% of total)

ival-sub: 2.0ms (24.8% of total)

adjust: 1.0ms (12.4% of total)

exact: 0.0ms (0% of total)

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

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

series2.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (- (* (+ x 1) (+ x 1)) 1)>
#<alt (* (+ x 1) (+ x 1))>
#<alt (+ x 1)>

Outputs
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>

Calls

9 calls:

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

rewrite296.0ms (6.8%)

Memory

-0.5MiB live, 324.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 388×	`accelerator-lowering-fma.f32`
5 388×	`accelerator-lowering-fma.f64`
3 116×	`-lowering-.f32`
3 116×	`-lowering-.f64`
2 562×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	45	15
2	376	13
3	6358	13
0	8261	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 600

Calls

Call 1

Inputs
(- (* (+ x 1) (+ x 1)) 1)
(* (+ x 1) (+ x 1))
(+ x 1)

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

simplify619.0ms (14.2%)

Memory

0.6MiB live, 417.2MiB allocated

Algorithm

1×	egg-herbie

Rules

23 092×	`accelerator-lowering-fma.f32`
23 092×	`accelerator-lowering-fma.f64`
5 874×	`-lowering-.f32`
5 874×	`-lowering-.f64`
2 612×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	148
1	58	148
2	115	148
3	287	148
4	561	148
5	2333	148
6	3677	148
7	4526	148
8	5154	148
9	6026	148
10	6363	148
11	6633	148
0	8055	141

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

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

eval81.0ms (1.8%)

Memory: 21.8MiB live, 108.8MiB allocated
Compiler: Compiled 19 786 to 1 657 computations (91.6% saved)

prune80.0ms (1.8%)

Memory

-14.2MiB live, 145.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	727	5	732
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	728	5	733

Accuracy

100.0%

Counts

733 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (+.f64 x x))
▶	3.6%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
▶	57.4%	(*.f64 x x)
▶	44.3%	(*.f64 #s(literal 2 binary64) x)

Compiler

Compiled 50 to 30 computations (40% saved)

simplify5.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	64	(fma.f64 x x (+.f64 x x))

Rules

52×	`accelerator-lowering-fma.f32`
52×	`accelerator-lowering-fma.f64`
42×	`-lowering-.f32`
42×	`-lowering-.f64`
26×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	18	30
2	23	30
3	27	30
4	35	30
5	35	30
6	53	30
7	53	30
0	53	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x x) (+ x x))
x
(+ x x)
(- 1 1)
1
(* 2 x)
2
x
(* x x)
x
(* (+ x 2) x)
(+ x 2)
x
2

Outputs
(+ (* x x) (+ x x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
x
(+ x x)
(+.f64 x x)
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(* 2 x)
(+.f64 x x)
2
#s(literal 2 binary64)
x
(* x x)
(*.f64 x x)
x
(* (+ x 2) x)
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(+ x 2)
(+.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)

localize28.0ms (0.6%)

Memory

-0.1MiB live, 31.2MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x x (+.f64 x x))
✓	accuracy	100.0%	(+.f64 x x)

Samples

17.0ms

256×

valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

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

ival-mult: 4.0ms (43% of total)

ival-add: 3.0ms (32.2% of total)

ival-sub: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

7 → 72

Calls

Call 1

Inputs
#<alt (+ (* x x) (+ x x))>
#<alt (+ x x)>
#<alt (- 1 1)>
#<alt (* 2 x)>
#<alt (* x x)>
#<alt (* (+ x 2) x)>
#<alt (+ x 2)>

Outputs
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<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 (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>

Calls

18 calls:

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

rewrite62.0ms (1.4%)

Memory

-9.5MiB live, 38.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

444×	`accelerator-lowering-fma.f32`
444×	`accelerator-lowering-fma.f64`
168×	`-lowering-.f32`
168×	`-lowering-.f64`
156×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	51	23
0	437	23

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

7 → 168

Calls

Call 1

Inputs
(+ (* x x) (+ x x))
(+ x x)
(- 1 1)
(* 2 x)
(* x x)
(* (+ x 2) x)
(+ x 2)

Outputs
(+.f64 x (fma.f64 x x x))
(+.f64 (*.f64 x x) (+.f64 x x))
(+.f64 (+.f64 x x) (*.f64 x x))
(+.f64 (fma.f64 x x x) x)
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (+.f64 x x) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(fma.f64 x x (+.f64 x x))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (.f64 #s(literal 2 binary64) (+.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (+.f64 x x) (+.f64 x x) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 x (+.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (*.f64 x x))
(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (+.f64 x x))
(fma.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
(fma.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) x (.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (+.f64 x x) (.f64 x (.f64 x (+.f64 x x))))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal -2 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (+.f64 x x)) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (+.f64 x x) (.f64 x (.f64 x (+.f64 x x))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (+.f64 x x)) (fma.f64 x #s(literal 2 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x (+.f64 x x))))))
(/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (.f64 x (+.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (+.f64 x x))) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (+.f64 x x) (.f64 x (.f64 x (+.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 x (+.f64 x #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 (.f64 x x) (.f64 (fma.f64 x x x) x))))
(/.f64 (-.f64 (+.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (+.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (.f64 x x)) (-.f64 (fma.f64 x x x) x))
(/.f64 (.f64 x (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -4 binary64))) (+.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) x) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -4 binary64)) x) (+.f64 x #s(literal -2 binary64)))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (+.f64 x x) (.f64 x (*.f64 x (+.f64 x x)))))))
(.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(+.f64 x x)
(+.f64 (.f64 (+.f64 x x) x) (.f64 (+.f64 x x) x))
(+.f64 (.f64 x (+.f64 x x)) (.f64 x (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64)))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 x (+.f64 x x) (*.f64 x (+.f64 x x)))
(fma.f64 (+.f64 x x) x (*.f64 (+.f64 x x) x))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 x (.f64 x (+.f64 x x)))))
(/.f64 (.f64 x (.f64 x (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 (.f64 x (.f64 x (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x (+.f64 x x))) #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 x x)))) (.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 x (.f64 x (+.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x (+.f64 x x))) (.f64 x (.f64 x (+.f64 x x)))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (+.f64 x x) (.f64 x (*.f64 x (+.f64 x x)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 x (*.f64 x (+.f64 x x))) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 0 binary64))
(pow.f64 (+.f64 x x) #s(literal 2 binary64))
(pow.f64 (+.f64 x x) #s(literal 3 binary64))
(*.f64 x #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 2 binary64) (+.f64 x x)))
(.f64 (.f64 x x) #s(literal 4 binary64))
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))
(.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x)))
(.f64 #s(literal 4 binary64) (.f64 x x))
(.f64 (.f64 x (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)))
(.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64))
(.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) x)
#s(literal 0 binary64)
(+.f64 x x)
(+.f64 (.f64 (+.f64 x x) x) (.f64 (+.f64 x x) x))
(+.f64 (.f64 x (+.f64 x x)) (.f64 x (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64)))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 x (+.f64 x x) (*.f64 x (+.f64 x x)))
(fma.f64 (+.f64 x x) x (*.f64 (+.f64 x x) x))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 x (.f64 x (+.f64 x x)))))
(/.f64 (.f64 x (.f64 x (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 (.f64 x (.f64 x (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x (+.f64 x x))) #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 x x)))) (.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 x (.f64 x (+.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x (+.f64 x x))) (.f64 x (.f64 x (+.f64 x x)))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (+.f64 x x) (.f64 x (*.f64 x (+.f64 x x)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 x (*.f64 x (+.f64 x x))) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 0 binary64))
(pow.f64 (+.f64 x x) #s(literal 2 binary64))
(pow.f64 (+.f64 x x) #s(literal 3 binary64))
(*.f64 x #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 2 binary64) (+.f64 x x)))
(.f64 (.f64 x x) #s(literal 4 binary64))
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))
(.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x)))
(.f64 #s(literal 4 binary64) (.f64 x x))
(.f64 (.f64 x (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)))
(.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64))
(.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(+.f64 x (fma.f64 x x x))
(+.f64 (*.f64 x x) (+.f64 x x))
(+.f64 (+.f64 x x) (*.f64 x x))
(+.f64 (fma.f64 x x x) x)
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (+.f64 x x) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(fma.f64 x x (+.f64 x x))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (.f64 #s(literal 2 binary64) (+.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (+.f64 x x) (+.f64 x x) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 x (+.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (*.f64 x x))
(fma.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (+.f64 x x))
(fma.f64 (.f64 (+.f64 x x) x) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
(fma.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)) x (.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (+.f64 x x) (.f64 x (.f64 x (+.f64 x x))))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal -2 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (+.f64 x x)) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (+.f64 x x) (.f64 x (.f64 x (+.f64 x x))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (+.f64 x x)) (fma.f64 x #s(literal 2 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x (+.f64 x x))))))
(/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (.f64 x (+.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (+.f64 x x))) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (+.f64 x x) (.f64 x (.f64 x (+.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal -2 binary64))))) (neg.f64 (.f64 x (+.f64 x #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 (.f64 x x) (.f64 (fma.f64 x x x) x))))
(/.f64 (-.f64 (+.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (+.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (.f64 x x)) (-.f64 (fma.f64 x x x) x))
(/.f64 (.f64 x (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -4 binary64))) (+.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) x) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -4 binary64)) x) (+.f64 x #s(literal -2 binary64)))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (+.f64 x x) (.f64 x (*.f64 x (+.f64 x x)))))))
(.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(+.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -4 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x)))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))))
(/.f64 (fma.f64 x x #s(literal -4 binary64)) (+.f64 x #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -4 binary64))) (neg.f64 (+.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 2 binary64) x))
(.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x))))
(*.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))))

simplify239.0ms (5.5%)

Memory

-12.6MiB live, 174.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 816×	`accelerator-lowering-fma.f32`
4 816×	`accelerator-lowering-fma.f64`
3 894×	`-lowering-.f32`
3 894×	`-lowering-.f64`
1 874×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	246
1	38	246
2	70	246
3	132	246
4	253	246
5	2260	246
6	3098	246
7	3922	246
8	5850	246
9	6452	246
10	7155	246
11	7432	246
12	7620	246
13	7763	246
14	7923	246
0	8027	246

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(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)
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))

Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) 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)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)

eval22.0ms (0.5%)

Memory: 4.4MiB live, 33.6MiB allocated
Compiler: Compiled 2 435 to 231 computations (90.5% saved)

prune14.0ms (0.3%)

Memory

25.1MiB live, 25.1MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	238	2	240
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	240	5	245

Accuracy

100.0%

Counts

245 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 x x))
▶	44.3%	(+.f64 x x)
✓	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	57.4%	(*.f64 x x)
▶	3.6%	#s(literal 0 binary64)

Compiler

Compiled 23 to 13 computations (43.5% saved)

simplify5.0ms (0.1%)

Memory

-33.0MiB live, 2.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x x)

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`
2×	`+-lowering-+.f64`
2×	`count-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
1	5	5
2	6	5
0	6	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
0
(+ x x)
x

Outputs
0
#s(literal 0 binary64)
(+ x x)
(+.f64 x x)
x

localize9.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x x)

Samples

6.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (61.7% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (+ x x)>

Outputs
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ x x)
0.0ms	x	@	-inf	(+ x x)
0.0ms	x	@	inf	(+ x x)

rewrite18.0ms (0.4%)

Memory

14.5MiB live, 14.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

30×	`-lowering-.f32`
30×	`-lowering-.f64`
26×	`/-lowering-/.f32`
26×	`/-lowering-/.f64`
24×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	3
1	13	3
0	92	3

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

1 → 11

Calls

Call 1

Inputs
(+ x x)

Outputs
(+.f64 x x)
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))
(*.f64 x #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) x)

simplify3.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

eval4.0ms (0.1%)

Memory: -27.4MiB live, 4.2MiB allocated
Compiler: Compiled 128 to 24 computations (81.3% saved)

prune3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	23	5	28

Accuracy

100.0%

Counts

28 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 x x))
✓	44.3%	(+.f64 x x)
✓	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	57.4%	(*.f64 x x)
✓	3.6%	#s(literal 0 binary64)

Compiler

Compiled 57 to 27 computations (52.6% saved)

regimes11.0ms (0.3%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 x x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x x)
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(fma.f64 x x (+.f64 x x))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Outputs
(fma.f64 x x (+.f64 x x))

Calls

4 calls:

3.0ms	x
3.0ms	(+.f64 x #s(literal 1 binary64))
2.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
100.0%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
100.0%	1	`(+.f64 x #s(literal 1 binary64))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes10.0ms (0.2%)

Memory

-18.9MiB live, 12.9MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 x x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x x)
(*.f64 (+.f64 x #s(literal 2 binary64)) x)

Outputs
(*.f64 (+.f64 x #s(literal 2 binary64)) x)

Calls

4 calls:

3.0ms	x
2.0ms	(+.f64 x #s(literal 1 binary64))
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
2.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
100.0%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
100.0%	1	`(+.f64 x #s(literal 1 binary64))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes8.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 x x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x x)

Outputs
(+.f64 x x)
(*.f64 x x)

Calls

4 calls:

2.0ms	x
2.0ms	(+.f64 x #s(literal 1 binary64))
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
2.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
96.8%	3	`x`
96.8%	2	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
96.8%	2	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
96.8%	3	`(+.f64 x #s(literal 1 binary64))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes8.0ms (0.2%)

Memory

-13.3MiB live, 18.4MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(+.f64 x x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)

Outputs
(+.f64 x x)

Calls

4 calls:

2.0ms	x
2.0ms	(+.f64 x #s(literal 1 binary64))
2.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
44.3%	1	`x`
44.3%	1	`(+.f64 x #s(literal 1 binary64))`
44.3%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
44.3%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

1.0ms	x
1.0ms	(+.f64 x #s(literal 1 binary64))
1.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
3.6%	1	`x`
3.6%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
3.6%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
3.6%	1	`(+.f64 x #s(literal 1 binary64))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0006975872073958	80503.93517753867

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify6.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	18	31

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (+.f64 x x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(if (<=.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 x x) (.f64 x x))
(+.f64 x x)
#s(literal 0 binary64)

Outputs
(fma.f64 x x (+.f64 x x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(if (<=.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 x x) (.f64 x x))
(+.f64 x x)
#s(literal 0 binary64)

soundness710.0ms (16.3%)

Memory

-25.4MiB live, 204.1MiB allocated

Rules

23 092×	`accelerator-lowering-fma.f32`
23 092×	`accelerator-lowering-fma.f64`
5 874×	`-lowering-.f32`
5 874×	`-lowering-.f64`
5 388×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	51	23
0	437	23
0	20	148
1	58	148
2	115	148
3	287	148
4	561	148
5	2333	148
6	3677	148
7	4526	148
8	5154	148
9	6026	148
10	6363	148
11	6633	148
0	8055	141
0	5	15
1	45	15
2	376	13
3	6358	13
0	8261	13

Stop Event

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

Compiler

Compiled 71 to 37 computations (47.9% saved)

preprocess28.0ms (0.6%)

Memory: 8.3MiB live, 39.1MiB allocated
Compiler: Compiled 84 to 36 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample889.0ms (20.4%)

preprocess528.0ms (12.1%)

explain94.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify549.0ms (12.6%)

localize23.0ms (0.5%)

series2.0ms (0%)

rewrite296.0ms (6.8%)

simplify619.0ms (14.2%)

eval81.0ms (1.8%)

prune80.0ms (1.8%)

simplify5.0ms (0.1%)

localize28.0ms (0.6%)

series3.0ms (0.1%)

rewrite62.0ms (1.4%)

simplify239.0ms (5.5%)

eval22.0ms (0.5%)

prune14.0ms (0.3%)

simplify5.0ms (0.1%)

localize9.0ms (0.2%)

series0.0ms (0%)

rewrite18.0ms (0.4%)

simplify3.0ms (0.1%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

regimes11.0ms (0.3%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness710.0ms (16.3%)

preprocess28.0ms (0.6%)

end0.0ms (0%)

Profiling