Metrics for Expanding a square

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample860.0ms (14.7%)

Memory

24.9MiB live, 695.7MiB allocated

Samples

385.0ms	2 419×	1	valid
142.0ms	4 239×	0	valid
142.0ms	1 572×	2	valid
3.0ms	26×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 515.0ms

ival-add: 260.0ms (50.5% of total)

ival-mult: 131.0ms (25.4% of total)

ival-sub: 64.0ms (12.4% of total)

adjust: 44.0ms (8.5% 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

preprocess480.0ms (8.2%)

Memory

23.2MiB live, 400.4MiB 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)
(*.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))

explain110.0ms (1.9%)

Memory

-18.0MiB live, 98.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
116	-	-	`(-.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	116	0

Confusion

	Predicted +	Predicted -
+	116	0
-	0	140

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	116	0	0
-	0	0	140

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	140
1	116

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms	286×	0	valid
11.0ms	150×	1	valid
7.0ms	72×	2	valid
1.0ms	4×	3	valid

Compiler

Compiled 66 to 24 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-add: 35.0ms (75.6% of total)

ival-mult: 5.0ms (10.8% of total)

ival-sub: 4.0ms (8.6% of total)

adjust: 2.0ms (4.3% 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

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.9%	(-.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)

simplify544.0ms (9.3%)

Memory

-18.8MiB live, 327.8MiB 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)

localize21.0ms (0.4%)

Memory

10.2MiB live, 10.2MiB 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	57.9%	(-.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

57.9%

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

Samples

5.0ms	75×	1	valid
5.0ms	143×	0	valid
3.0ms	36×	2	valid
0.0ms	2×	3	valid

Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions

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

ival-sub: 2.0ms (26.5% of total)

ival-add: 2.0ms (26.5% of total)

ival-mult: 2.0ms (26.5% of total)

adjust: 1.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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))

rewrite262.0ms (4.5%)

Memory

8.0MiB live, 266.1MiB 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)))

simplify619.0ms (10.6%)

Memory

-2.0MiB live, 379.9MiB 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))

eval77.0ms (1.3%)

Memory: 5.8MiB live, 95.2MiB allocated
Compiler: Compiled 19 200 to 1 658 computations (91.4% saved)

prune106.0ms (1.8%)

Memory

-0.8MiB live, 126.0MiB 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 (+.f64 x #s(literal 1 binary64)) x x)
▶	3.4%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
▶	56.5%	(*.f64 x x)
▶	46.5%	(*.f64 #s(literal 2 binary64) x)

Compiler

Compiled 50 to 32 computations (36% saved)

simplify5.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB 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 #s(literal 1 binary64))
✓	cost-diff	64	(fma.f64 (+.f64 x #s(literal 1 binary64)) 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	12	35
1	21	31
2	31	31
3	36	31
4	54	31
5	54	31
0	54	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize32.0ms (0.5%)

Memory

-0.2MiB live, 34.5MiB 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 (+.f64 x #s(literal 1 binary64)) x x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))

Samples

20.0ms

256×

valid

Compiler

Compiled 36 to 13 computations (63.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (63.1% of total)

ival-add: 3.0ms (23.7% of total)

ival-sub: 1.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

7 → 72

Calls

Call 1

Inputs
#<alt (+ (* (+ x 1) x) x)>
#<alt (+ x 1)>
#<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 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)))>
#<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
1.0ms	x	@	-inf	(* (+ x 2) x)
0.0ms	x	@	-inf	(+ (* (+ x 1) x) x)
0.0ms	x	@	inf	(+ (* (+ x 1) x) x)
0.0ms	x	@	-inf	(* 2 x)
0.0ms	x	@	0	(* 2 x)

rewrite351.0ms (6%)

Memory

-6.4MiB live, 279.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 440×	`accelerator-lowering-fma.f32`
7 440×	`accelerator-lowering-fma.f64`
4 244×	`-lowering-.f32`
4 244×	`-lowering-.f64`
3 290×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	55	23
2	379	23
3	4232	23
0	8563	23

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 522

Calls

Call 1

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

Outputs
(+.f64 x (fma.f64 x x x))
(+.f64 (fma.f64 x x x) x)
(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x x) (+.f64 x x))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(+.f64 (/.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (.f64 x (+.f64 x #s(literal 0 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 0 binary64))))))
(+.f64 (+.f64 x x) (*.f64 x x))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (.f64 x (+.f64 x #s(literal 0 binary64)))) (/.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 0 binary64)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (fma.f64 x x x))) (/.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 x (fma.f64 x x x))))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(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 #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (.f64 x (+.f64 x #s(literal 0 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 0 binary64))))))
(fma.f64 x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (exp.f64 (log1p.f64 x)) x)
(fma.f64 #s(literal 1 binary64) x (fma.f64 x x x))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) x)
(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 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64)) (.f64 x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (.f64 x (fma.f64 x x x)) (.f64 x (+.f64 x #s(literal 0 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 0 binary64))))))
(fma.f64 (fma.f64 x x x) #s(literal 1 binary64) x)
(fma.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x x) (.f64 x (+.f64 x #s(literal 0 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (+.f64 x #s(literal 0 binary64))))))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (+.f64 x x))
(fma.f64 (.f64 x x) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x (+.f64 x #s(literal 0 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (+.f64 x #s(literal 0 binary64))))))
(fma.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 0 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 0 binary64))))))
(fma.f64 (.f64 x (fma.f64 x x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 0 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 0 binary64))))))
(fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x x))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) x) x)
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 x (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) x)
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x) x)
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal -1 binary64))) x)
(fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 0 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (+.f64 x #s(literal 0 binary64))))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (+.f64 x x))
(fma.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (/.f64 x (.f64 x (+.f64 x #s(literal 0 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 0 binary64))))))
(fma.f64 (fma.f64 x (.f64 x (.f64 x x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) x)
(fma.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 x x x))
(fma.f64 (/.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 0 binary64))))) (.f64 x (+.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (+.f64 x #s(literal 0 binary64))))))
(fma.f64 (/.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) (neg.f64 (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 0 binary64))))))
(fma.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) x) (fma.f64 x (.f64 (.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 x (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)))) x)
(fma.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) x)
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x x)
(fma.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) x) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (fma.f64 x (.f64 x (.f64 x x)) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 x (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)) x)
(fma.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) x) (fma.f64 x (.f64 (.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))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)))) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) x)
(fma.f64 (exp.f64 (log1p.f64 x)) x x)
(neg.f64 (/.f64 (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 (fma.f64 x x x) (.f64 x (+.f64 x #s(literal 0 binary64))) (.f64 x x)))))
(neg.f64 (/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 0 binary64)))) (neg.f64 (.f64 x (+.f64 x #s(literal 0 binary64))))))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (fma.f64 x x x) (.f64 x (+.f64 x #s(literal 0 binary64))) (.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 0 binary64))))) (.f64 x (+.f64 x #s(literal 0 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 x x x)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 x (fma.f64 x x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (.f64 x (fma.f64 x (.f64 x x) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 x (fma.f64 x x #s(literal -4 binary64)))))
(/.f64 (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (fma.f64 (fma.f64 x x x) (.f64 x (+.f64 x #s(literal 0 binary64))) (.f64 x x)))
(/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 0 binary64)))) (.f64 x (+.f64 x #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (fma.f64 x x x) (.f64 x (+.f64 x #s(literal 0 binary64))) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 0 binary64))))) (neg.f64 (.f64 x (+.f64 x #s(literal 0 binary64)))))
(/.f64 (fma.f64 (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 (fma.f64 x x x) (.f64 x (+.f64 x #s(literal 0 binary64))) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)))) (.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 x (fma.f64 x x x))) (-.f64 x (fma.f64 x x x)))
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(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 x (.f64 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 (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 x (.f64 x (.f64 x x)))) #s(literal 512 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 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 (.f64 x x)) (.f64 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))))

simplify229.0ms (3.9%)

Memory

-6.4MiB live, 246.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 598×	`accelerator-lowering-fma.f32`
8 598×	`accelerator-lowering-fma.f64`
3 974×	`-lowering-.f32`
3 974×	`-lowering-.f64`
1 664×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	240
1	48	240
2	75	240
3	129	240
4	261	240
5	2377	240
6	3329	240
7	4248	240
8	6223	240
9	6836	240
10	7547	240
11	7824	240
0	8014	240

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))))
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)))
(* 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))
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))
(* 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)

eval93.0ms (1.6%)

Memory: 2.8MiB live, 62.0MiB allocated
Compiler: Compiled 12 997 to 1 020 computations (92.2% saved)

prune42.0ms (0.7%)

Memory

-9.3MiB live, 55.6MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	592	2	594
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	593	6	599

Accuracy

100.0%

Counts

599 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
▶	62.4%	(fma.f64 x x x)
✓	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	56.5%	(*.f64 x x)
✓	46.5%	(*.f64 #s(literal 2 binary64) x)
▶	3.4%	#s(literal 0 binary64)

Compiler

Compiled 28 to 17 computations (39.3% saved)

simplify4.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

22×	`-lowering-.f32`
22×	`-lowering-.f64`
14×	`accelerator-lowering-fma.f32`
14×	`accelerator-lowering-fma.f64`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	8	7
2	11	7
3	17	7
4	17	7
5	25	7
6	25	7
0	25	6

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
0
(+ (* x x) x)
x

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

localize11.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated

Localize:

Found 1 expressions of interest:

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

Samples

7.0ms

256×

valid

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (63.8% of total)

ival-add: 1.0ms (31.9% 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

0.4MiB live, 0.4MiB allocated

Counts

1 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite377.0ms (6.5%)

Memory

-29.3MiB live, 340.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

15 160×	`accelerator-lowering-fma.f32`
15 160×	`accelerator-lowering-fma.f64`
4 346×	`/-lowering-/.f32`
4 346×	`/-lowering-/.f64`
3 486×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
1	21	5
2	152	5
3	1394	5
0	8244	4

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 203

Calls

Call 1

Inputs
(+ (* x x) x)

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

simplify297.0ms (5.1%)

Memory

26.8MiB live, 120.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 840×	`-lowering-.f32`
5 840×	`-lowering-.f64`
2 934×	`/-lowering-/.f32`
2 934×	`/-lowering-/.f64`
2 558×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	52
1	26	52
2	41	52
3	77	52
4	145	52
5	1089	52
6	2295	52
7	2906	52
8	3615	52
9	4538	52
10	4880	52
11	5090	52
12	5283	52
13	5479	52
14	5814	52
15	7029	52
16	7422	52
17	7525	52
18	7538	52
19	7541	52
20	7541	52
21	7675	52
22	7860	52
0	8012	43

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

Outputs
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)

eval22.0ms (0.4%)

Memory: -16.7MiB live, 18.2MiB allocated
Compiler: Compiled 8 666 to 495 computations (94.3% saved)

prune22.0ms (0.4%)

Memory

-4.9MiB live, 26.6MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	214	7	221

Accuracy

100.0%

Counts

221 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
✓	62.4%	(fma.f64 x x x)
✓	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	56.5%	(*.f64 x x)
✓	46.5%	(*.f64 #s(literal 2 binary64) x)
▶	10.3%	x
✓	3.4%	#s(literal 0 binary64)

Compiler

Compiled 30 to 18 computations (40% saved)

simplify3.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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
x

Outputs
x

localize5.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Samples

3.0ms

256×

valid

Compiler

Compiled 3 to 3 computations (0% saved)

Precisions

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

ival-true: 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

rewrite6.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB 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%)

Memory

0.8MiB live, 0.8MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	6	6
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
✓	62.4%	(fma.f64 x x x)
✓	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	56.5%	(*.f64 x x)
✓	46.5%	(*.f64 #s(literal 2 binary64) x)
✓	10.3%	x
✓	3.4%	#s(literal 0 binary64)

Compiler

Compiled 66 to 32 computations (51.5% saved)

regimes12.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes11.0ms (0.2%)

Memory

-24.5MiB live, 7.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	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)

regimes9.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs
(*.f64 #s(literal 2 binary64) x)
(fma.f64 x 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
98.6%	3	`x`
98.6%	2	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
98.6%	2	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
98.6%	3	`(+.f64 x #s(literal 1 binary64))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes4.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
x
(-.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

2 calls:

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
98.6%	2	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
98.6%	2	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 18 to 9 computations (50% saved)

regimes7.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
x
(-.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))
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
46.5%	1	`x`
46.5%	1	`(+.f64 x #s(literal 1 binary64))`
46.5%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
46.5%	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

5.9MiB live, 5.9MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
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
10.3%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
10.3%	1	`(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))`
10.3%	1	`x`
10.3%	1	`(+.f64 x #s(literal 1 binary64))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes5.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB 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 (+.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
3.4%	1	`x`
3.4%	1	`(+.f64 x #s(literal 1 binary64))`
3.4%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))`
3.4%	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

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000110384774907	164774.0843418724

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000110384774907	164774.0843418724

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify7.0ms (0.1%)

Memory

-27.5MiB live, 4.4MiB 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	15	49
1	21	49

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (18.8%)

Memory

10.0MiB live, 10.0MiB allocated

Rules

23 092×	`accelerator-lowering-fma.f32`
23 092×	`accelerator-lowering-fma.f64`
8 598×	`accelerator-lowering-fma.f32`
8 598×	`accelerator-lowering-fma.f64`
7 440×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	55	23
2	379	23
3	4232	23
0	8563	23
0	15	240
1	48	240
2	75	240
3	129	240
4	261	240
5	2377	240
6	3329	240
7	4248	240
8	6223	240
9	6836	240
10	7547	240
11	7824	240
0	8014	240
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	9	52
1	26	52
2	41	52
3	77	52
4	145	52
5	1089	52
6	2295	52
7	2906	52
8	3615	52
9	4538	52
10	4880	52
11	5090	52
12	5283	52
13	5479	52
14	5814	52
15	7029	52
16	7422	52
17	7525	52
18	7538	52
19	7541	52
20	7541	52
21	7675	52
22	7860	52
0	8012	43
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×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 111 to 52 computations (53.2% saved)

preprocess88.0ms (1.5%)

Memory: -3.3MiB live, 35.5MiB allocated
Compiler: Compiled 120 to 40 computations (66.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample860.0ms (14.7%)

preprocess480.0ms (8.2%)

explain110.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify544.0ms (9.3%)

localize21.0ms (0.4%)

series2.0ms (0%)

rewrite262.0ms (4.5%)

simplify619.0ms (10.6%)

eval77.0ms (1.3%)

prune106.0ms (1.8%)

simplify5.0ms (0.1%)

localize32.0ms (0.5%)

series4.0ms (0.1%)

rewrite351.0ms (6%)

simplify229.0ms (3.9%)

eval93.0ms (1.6%)

prune42.0ms (0.7%)

simplify4.0ms (0.1%)

localize11.0ms (0.2%)

series0.0ms (0%)

rewrite377.0ms (6.5%)

simplify297.0ms (5.1%)

eval22.0ms (0.4%)

prune22.0ms (0.4%)

simplify3.0ms (0%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite6.0ms (0.1%)

simplify2.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness1.1s (18.8%)

preprocess88.0ms (1.5%)

end0.0ms (0%)

Profiling