Metrics for Expanding a square

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 7 computations (36.4% saved)

sample903.0ms (20%)

Memory

29.5MiB live, 670.2MiB allocated

Samples

352.0ms	4 311×	0	valid
197.0ms	2 383×	1	valid
151.0ms	1 538×	2	valid
3.0ms	24×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 493.0ms

ival-mult: 282.0ms (57.2% of total)

ival-add: 73.0ms (14.8% of total)

adjust: 62.0ms (12.6% of total)

ival-sub: 62.0ms (12.6% of total)

exact: 7.0ms (1.4% of total)

ival-true: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess493.0ms (10.9%)

Memory

-2.1MiB live, 376.0MiB 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)
(*.f64 x (+.f64 x #s(literal 2 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))

explain105.0ms (2.3%)

Memory

-15.0MiB live, 102.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	1	(0.008170572394949095)	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	-	0	-	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	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	121	1

Confusion

	Predicted +	Predicted -
+	121	1
-	0	134

Precision

1.0

Recall

0.9918032786885246

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	1	0
-	0	0	134

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	135
1	121

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

13.0ms	146×	1	valid
11.0ms	88×	2	valid
10.0ms	272×	0	valid
1.0ms	6×	3	valid

Compiler

Compiled 66 to 24 computations (63.6% saved)

Precisions

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

ival-add: 6.0ms (31.8% of total)

ival-mult: 5.0ms (26.5% of total)

adjust: 4.0ms (21.2% of total)

ival-sub: 4.0ms (21.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.6%	(-.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)

simplify295.0ms (6.5%)

Memory

8.6MiB live, 315.3MiB 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	256	(-.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

256

(-.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)
(*.f64 x (+.f64 x #s(literal 2 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

23.1MiB live, 23.1MiB 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	55.6%	(-.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

55.6%

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

Samples

5.0ms	73×	1	valid
5.0ms	136×	0	valid
5.0ms	44×	2	valid
0.0ms	3×	3	valid

Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions

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

adjust: 2.0ms (23.6% of total)

ival-sub: 2.0ms (23.6% of total)

ival-add: 2.0ms (23.6% of total)

ival-mult: 2.0ms (23.6% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-27.8MiB live, 1.7MiB 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))

rewrite459.0ms (10.2%)

Memory

11.6MiB live, 214.1MiB 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)) (+.f64 (fma.f64 x x x) #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 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 x (+.f64 x #s(literal 2 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 x (+.f64 x #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) (.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)) #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)) (+.f64 (fma.f64 x x x) #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) (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 2 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) (+.f64 (fma.f64 x x x) #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)))) (+.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 #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))) (+.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))) (-.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)))))
(fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.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 (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))))))
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(fma.f64 x (/.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (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 1 binary64))) #s(literal -1 binary64)) (/.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 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 (+.f64 x #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)) (neg.f64 x)) #s(literal 1 binary64))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x (.f64 x x)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (.f64 (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) x))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.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 x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (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 (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) (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (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 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (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 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (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 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (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 x (+.f64 x #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 x (+.f64 x #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)))

simplify618.0ms (13.7%)

Memory

-3.9MiB live, 375.0MiB 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))

eval86.0ms (1.9%)

Memory: -6.4MiB live, 123.8MiB allocated
Compiler: Compiled 19 200 to 1 658 computations (91.4% saved)

prune76.0ms (1.7%)

Memory

-5.3MiB live, 126.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	728	4	732
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	729	4	733

Accuracy

100.0%

Counts

733 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.6%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
▶	53.0%	(*.f64 x x)
▶	49.2%	(*.f64 #s(literal 2 binary64) x)

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

10×	`-lowering-.f32`
10×	`-lowering-.f64`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	13	21
2	15	21
0	15	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize24.0ms (0.5%)

Memory

-6.1MiB live, 24.6MiB allocated

Localize:

Found 5 expressions of interest:

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

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 10 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (57.5% of total)

ival-sub: 1.0ms (14.4% of total)

ival-add: 1.0ms (14.4% 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

1.2MiB live, 1.2MiB allocated

Counts

5 → 48

Calls

Call 1

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

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)>
#<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

12 calls:

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

rewrite316.0ms (7%)

Memory

19.7MiB live, 265.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 226×	`accelerator-lowering-fma.f32`
6 226×	`accelerator-lowering-fma.f64`
4 296×	`/-lowering-/.f32`
4 296×	`/-lowering-/.f64`
3 932×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	27	15
2	141	15
3	1098	15
0	8375	15

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 368

Calls

Call 1

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

Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(exp.f64 (log.f64 (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x))
(+.f64 (.f64 x (/.f64 (.f64 x x) (+.f64 x #s(literal -2 binary64)))) (*.f64 x (/.f64 #s(literal -4 binary64) (+.f64 x #s(literal -2 binary64)))))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) x)) (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 x x)))))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) x)) (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)))) (.f64 (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) (*.f64 x x))))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 x (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 x (+.f64 #s(literal -4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x))))) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)))))
(+.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 x (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (fma.f64 x x #s(literal -4 binary64))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 x (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64))) x))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64))) x) (.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64))) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -2 binary64)))) (.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64))) (/.f64 #s(literal -4 binary64) (+.f64 x #s(literal -2 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -8 binary64))) (.f64 x x)) (.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (*.f64 x x) #s(literal -8 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -8 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -8 binary64))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -8 binary64))) (fma.f64 x x #s(literal 4 binary64))) (.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -8 binary64))) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -2 binary64))) x) (*.f64 (/.f64 #s(literal -4 binary64) (+.f64 x #s(literal -2 binary64))) x))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) x))) (.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x))) (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 2 binary64) x))))
(+.f64 (.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x))) (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 2 binary64) x))))
(+.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 x (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x)))))) (.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 x (+.f64 #s(literal -4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x)))))))
(+.f64 (.f64 (fma.f64 x x #s(literal -4 binary64)) (.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 x (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x)))))) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 x (+.f64 #s(literal -4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x)))))))
(+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64)))) (.f64 x (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64)))))
(+.f64 (.f64 x (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -2 binary64))) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64)))) (.f64 (/.f64 #s(literal -4 binary64) (+.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64)))))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (*.f64 x x) #s(literal -8 binary64)))))
(+.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))) (.f64 (.f64 x x) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (*.f64 x x) #s(literal -8 binary64)))))
(+.f64 (.f64 (fma.f64 x x #s(literal 4 binary64)) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))) (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (*.f64 x x) #s(literal -8 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64))) (.f64 x (/.f64 (*.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64)))))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
(fma.f64 x (/.f64 (.f64 x x) (+.f64 x #s(literal -2 binary64))) (.f64 x (/.f64 #s(literal -4 binary64) (+.f64 x #s(literal -2 binary64)))))
(fma.f64 x (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64)))))
(fma.f64 (.f64 x x) (.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 x (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 x (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x)))))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -8 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))))
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 x (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 x (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x)))))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -2 binary64))) x (.f64 (/.f64 #s(literal -4 binary64) (+.f64 x #s(literal -2 binary64))) x))
(fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -2 binary64))) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64))) (.f64 (/.f64 #s(literal -4 binary64) (+.f64 x #s(literal -2 binary64))) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64)))))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x))) (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) x))))
(fma.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x))) (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -8 binary64))) (.f64 (.f64 x x) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))))
(fma.f64 (fma.f64 x x #s(literal 4 binary64)) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -8 binary64))) (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (.f64 x x) #s(literal -8 binary64)))))
(fma.f64 (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) x)) (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)))))
(fma.f64 (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) x)) (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x))) (.f64 (.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) (.f64 x x))))
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(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))) (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal -4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x))))))
(.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (fma.f64 x (.f64 x x) #s(literal -8 binary64))) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))
(.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (fma.f64 x (.f64 x x) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 512 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal 64 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -8 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal -64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)) #s(literal 16 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal -64 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)) #s(literal 16 binary64))) (-.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -16 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 512 binary64)) (.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 512 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal -64 binary64)) (.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal -64 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal -64 binary64)) (fma.f64 x x #s(literal -4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal -64 binary64)) (/.f64 (fma.f64 x x #s(literal -4 binary64)) (fma.f64 x (.f64 x x) #s(literal 8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal -64 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)) #s(literal 16 binary64))) (+.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal -64 binary64)) (/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 #s(literal -8 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64)) #s(literal 16 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -16 binary64)) (fma.f64 x (.f64 x x) #s(literal -8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -16 binary64)) (/.f64 (fma.f64 x x #s(literal -4 binary64)) (fma.f64 x (.f64 x x) #s(literal 8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 4 binary64))) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -16 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 4 binary64))) (+.f64 x #s(literal -2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -16 binary64)) (/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 #s(literal -8 binary64) (.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 4 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 (fma.f64 x x #s(literal -4 binary64)) (fma.f64 x (.f64 x x) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 #s(literal -8 binary64) (.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))
#s(literal 0 binary64)

simplify212.0ms (4.7%)

Memory

10.1MiB live, 179.3MiB 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	156
1	38	156
2	70	156
3	132	156
4	253	156
5	2214	156
6	3044	156
7	3893	156
8	5823	156
9	6410	156
10	7158	156
11	7435	156
12	7627	156
13	7770	156
14	7930	156
0	8034	156

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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)
(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)
(* 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)

eval44.0ms (1%)

Memory: -0.6MiB live, 64.7MiB allocated
Compiler: Compiled 10 823 to 1 043 computations (90.4% saved)

prune44.0ms (1%)

Memory

-10.6MiB live, 85.4MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	415	1	416
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	416	4	420

Accuracy

100.0%

Counts

420 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	53.0%	(*.f64 x x)
✓	49.2%	(*.f64 #s(literal 2 binary64) x)
▶	3.6%	#s(literal 0 binary64)

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify3.0ms (0.1%)

Memory

3.4MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0
#s(literal 0 binary64)

localize5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Samples

3.0ms

256×

valid

Compiler

Compiled 3 to 4 computations (-33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.0MiB live, 0.0MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite8.0ms (0.2%)

Memory

-22.7MiB live, 7.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

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

prune2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	53.0%	(*.f64 x x)
✓	49.2%	(*.f64 #s(literal 2 binary64) x)
✓	3.6%	#s(literal 0 binary64)

Compiler

Compiled 41 to 23 computations (43.9% saved)

regimes10.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

-21.1MiB live, 10.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(+.f64 x #s(literal 1 binary64))
2.0ms	x
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
97.6%	3	`x`
97.6%	2	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
97.6%	2	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
97.6%	3	`(+.f64 x #s(literal 1 binary64))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes7.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(+.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))
1.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
49.2%	1	`x`
49.2%	1	`(+.f64 x #s(literal 1 binary64))`
49.2%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
49.2%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes6.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
#s(literal 0 binary64)

Calls

4 calls:

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

Results

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

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	2.8468496506527554	473.24049742888195

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify7.0ms (0.2%)

Memory

-22.1MiB live, 9.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	19	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.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 5 binary64)) (.f64 #s(literal 2 binary64) x) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 0 binary64)

Outputs
(*.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 5 binary64)) (.f64 #s(literal 2 binary64) x) (*.f64 x x))
(if (<=.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 5 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 0 binary64)

soundness717.0ms (15.9%)

Memory

21.2MiB live, 217.6MiB allocated

Rules

23 092×	`accelerator-lowering-fma.f32`
23 092×	`accelerator-lowering-fma.f64`
6 226×	`accelerator-lowering-fma.f32`
6 226×	`accelerator-lowering-fma.f64`
5 874×	`-lowering-.f32`

Iterations

Useful iterations: 2 (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
0	5	15
1	45	15
2	376	13
3	6358	13
0	8261	13
0	9	15
1	27	15
2	141	15
3	1098	15
0	8375	15

Stop Event

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

Compiler

Compiled 50 to 30 computations (40% saved)

preprocess25.0ms (0.6%)

Memory: -23.1MiB live, 40.1MiB allocated
Compiler: Compiled 72 to 36 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample903.0ms (20%)

preprocess493.0ms (10.9%)

explain105.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify295.0ms (6.5%)

localize23.0ms (0.5%)

series6.0ms (0.1%)

rewrite459.0ms (10.2%)

simplify618.0ms (13.7%)

eval86.0ms (1.9%)

prune76.0ms (1.7%)

simplify3.0ms (0.1%)

localize24.0ms (0.5%)

series3.0ms (0.1%)

rewrite316.0ms (7%)

simplify212.0ms (4.7%)

eval44.0ms (1%)

prune44.0ms (1%)

simplify3.0ms (0.1%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite8.0ms (0.2%)

simplify2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes10.0ms (0.2%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

soundness717.0ms (15.9%)

preprocess25.0ms (0.6%)

end0.0ms (0%)

Profiling