Metrics for Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample624.0ms (20.5%)

Memory

18.7MiB live, 864.9MiB allocated

Samples

440.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

ival-mult: 115.0ms (55.2% of total)

ival-add: 85.0ms (40.8% of total)

ival-true: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess45.0ms (1.5%)

Memory

1.2MiB live, 39.7MiB allocated

Algorithm

2×	egg-herbie

Rules

124×	`sub-neg`
110×	`unsub-neg`
72×	`associate-+l-`
64×	`distribute-rgt-in`
54×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	51	43
2	152	42
3	358	42
4	531	42
5	660	42
6	686	42
0	5	7
1	9	7
2	12	7
3	13	7
0	13	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (+ (* x x) y) y)

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

Call 2

Inputs
(+ (+ (* x x) y) y)
(+ (+ (* (neg x) (neg x)) y) y)
(+ (+ (* x x) (neg y)) (neg y))
(neg (+ (+ (* (neg x) (neg x)) y) y))
(neg (+ (+ (* x x) (neg y)) (neg y)))
(+ (+ (* y y) x) x)

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

Symmetry

(abs x)

explain75.0ms (2.5%)

Memory

-0.0MiB live, 157.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (*.f64 x x) y)`
-	-	`(+.f64 (+.f64 (*.f64 x x) y) y)`
-	-	`y`
-	-	`(*.f64 x x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	1	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 5.0ms (49% of total)

ival-mult: 5.0ms (49% of total)

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

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

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
▶	100.0%	(+.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify6.0ms (0.2%)

Memory

-27.6MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(+.f64 (*.f64 x x) y)
✓	cost-diff	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	cost-diff	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(+.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	33
1	14	33
2	14	33
0	14	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x x) (* y 2))
(* x x)
x
(* y 2)
y
2
(+ (+ (* x x) y) y)
(+ (* x x) y)
(* x x)
x
y

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

localize25.0ms (0.8%)

Memory

28.9MiB live, 68.1MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

15.0ms

256×

valid

Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions

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

ival-add: 3.0ms (42.4% of total)

ival-mult: 3.0ms (42.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

-30.4MiB live, 10.3MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (+ (* x x) (* y 2))>
#<alt (* x x)>
#<alt (* y 2)>
#<alt (+ (+ (* x x) y) y)>
#<alt (+ (* x x) y)>

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

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(+ (* x x) (* y 2))
0.0ms	y	@	inf	(* y 2)
0.0ms	x	@	0	(+ (* x x) (* y 2))
0.0ms	x	@	inf	(+ (* x x) (* y 2))
0.0ms	y	@	0	(+ (* x x) (* y 2))

rewrite519.0ms (17%)

Memory

27.2MiB live, 781.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 266×	`accelerator-lowering-fma.f32`
8 266×	`accelerator-lowering-fma.f64`
3 972×	`-lowering-.f32`
3 972×	`-lowering-.f64`
2 916×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	48	25
2	449	25
3	7017	25
0	8176	22

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 635

Calls

Call 1

Inputs
(+ (* x x) (* y 2))
(* x x)
(* y 2)
(+ (+ (* x x) y) y)
(+ (* x x) y)

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

simplify331.0ms (10.9%)

Memory

-27.1MiB live, 337.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 690×	`accelerator-lowering-fma.f32`
4 690×	`accelerator-lowering-fma.f64`
3 340×	`-lowering-.f32`
3 340×	`-lowering-.f64`
1 326×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	462
1	80	462
2	193	462
3	654	462
4	1927	462
5	3632	462
6	6731	462
0	8180	408

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval73.0ms (2.4%)

Memory: 8.7MiB live, 160.3MiB allocated
Compiler: Compiled 18 962 to 1 031 computations (94.6% saved)

prune58.0ms (1.9%)

Memory

25.3MiB live, 141.6MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	745	4	749
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	745	6	751

Accuracy

100.0%

Counts

751 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
▶	54.8%	(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
✓	100.0%	(+.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
▶	54.8%	(+.f64 (*.f64 x x) y)
▶	55.7%	(+.f64 y y)
▶	46.5%	(*.f64 x x)

Compiler

Compiled 44 to 27 computations (38.6% saved)

simplify4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y #s(literal 4 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(+.f64 (*.f64 x x) y)
✓	cost-diff	(+.f64 y y)
✓	cost-diff	(*.f64 x x)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	13	34
2	14	34
0	14	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x x)
x
(+ y y)
y
(+ (* x x) y)
(* x x)
x
y
(+ (* x x) (* y 4))
(* x x)
x
(* y 4)
y
4

Outputs
(* x x)
(*.f64 x x)
x
(+ y y)
(*.f64 y #s(literal 2 binary64))
y
(+ (* x x) y)
(+.f64 (*.f64 x x) y)
(* x x)
(*.f64 x x)
x
y
(+ (* x x) (* y 4))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(* x x)
(*.f64 x x)
x
(* y 4)
(*.f64 y #s(literal 4 binary64))
y
4
#s(literal 4 binary64)

localize48.0ms (1.6%)

Memory

-24.5MiB live, 58.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (*.f64 x x) y)
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)

Samples

38.0ms

256×

valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

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

ival-add: 7.0ms (64.7% of total)

ival-mult: 3.0ms (27.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

5 → 84

Calls

Call 1

Inputs
#<alt (* x x)>
#<alt (+ y y)>
#<alt (+ (* x x) y)>
#<alt (+ (* x x) (* y 4))>
#<alt (* y 4)>

Outputs
#<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 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt y>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (pow x 2)>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt y>
#<alt (* y (+ 1 (/ (pow x 2) y)))>
#<alt (* y (+ 1 (/ (pow x 2) y)))>
#<alt (* y (+ 1 (/ (pow x 2) y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))>
#<alt (* 4 y)>
#<alt (+ (* 4 y) (pow x 2))>
#<alt (+ (* 4 y) (pow x 2))>
#<alt (+ (* 4 y) (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* 4 y) (pow x 2))>
#<alt (+ (* 4 y) (pow x 2))>
#<alt (+ (* 4 y) (pow x 2))>
#<alt (* 4 y)>
#<alt (* y (+ 4 (/ (pow x 2) y)))>
#<alt (* y (+ 4 (/ (pow x 2) y)))>
#<alt (* y (+ 4 (/ (pow x 2) y)))>
#<alt (* 4 y)>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 4)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 4)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 4)))>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* y 4)
0.0ms	y	@	inf	(* y 4)
0.0ms	y	@	inf	(+ (* x x) (* y 4))
0.0ms	y	@	inf	(+ y y)
0.0ms	x	@	0	(+ (* x x) (* y 4))

rewrite68.0ms (2.2%)

Memory

21.0MiB live, 59.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

232×	`accelerator-lowering-fma.f32`
232×	`accelerator-lowering-fma.f64`
178×	`-lowering-.f32`
178×	`-lowering-.f64`
122×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	43	21
0	353	19

Stop Event

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

Counts

5 → 49

Calls

Call 1

Inputs
(* x x)
(+ y y)
(+ (* x x) y)
(+ (* x x) (* y 4))
(* y 4)

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

simplify222.0ms (7.3%)

Memory

-35.9MiB live, 376.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 590×	`accelerator-lowering-fma.f32`
4 590×	`accelerator-lowering-fma.f64`
3 264×	`-lowering-.f32`
3 264×	`-lowering-.f64`
1 326×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	354
1	83	354
2	196	354
3	664	354
4	1947	354
5	3679	354
6	6789	354
0	8174	318

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(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 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
y
(+ y (pow x 2))
(+ y (pow x 2))
(+ y (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(pow x 2)
(+ y (pow x 2))
(+ y (pow x 2))
(+ y (pow x 2))
y
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
y
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* 4 y)
(+ (* 4 y) (pow x 2))
(+ (* 4 y) (pow x 2))
(+ (* 4 y) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))
(pow x 2)
(+ (* 4 y) (pow x 2))
(+ (* 4 y) (pow x 2))
(+ (* 4 y) (pow x 2))
(* 4 y)
(* y (+ 4 (/ (pow x 2) y)))
(* y (+ 4 (/ (pow x 2) y)))
(* y (+ 4 (/ (pow x 2) y)))
(* 4 y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 4)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 4)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 4)))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)

Outputs
(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 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
y
(+ y (pow x 2))
(+.f64 (*.f64 x x) y)
(+ y (pow x 2))
(+.f64 (*.f64 x x) y)
(+ y (pow x 2))
(+.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 (*.f64 x x) y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 (*.f64 x x) y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 (*.f64 x x) y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 (*.f64 x x) y)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
(+ y (pow x 2))
(+.f64 (*.f64 x x) y)
(+ y (pow x 2))
(+.f64 (*.f64 x x) y)
(+ y (pow x 2))
(+.f64 (*.f64 x x) y)
y
(* y (+ 1 (/ (pow x 2) y)))
(+.f64 (*.f64 x x) y)
(* y (+ 1 (/ (pow x 2) y)))
(+.f64 (*.f64 x x) y)
(* y (+ 1 (/ (pow x 2) y)))
(+.f64 (*.f64 x x) y)
y
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(+.f64 (*.f64 x x) y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(+.f64 (*.f64 x x) y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(+.f64 (*.f64 x x) y)
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(+ (* 4 y) (pow x 2))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(+ (* 4 y) (pow x 2))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(+ (* 4 y) (pow x 2))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(* (pow x 2) (+ 1 (* 4 (/ y (pow x 2)))))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(pow x 2)
(*.f64 x x)
(+ (* 4 y) (pow x 2))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(+ (* 4 y) (pow x 2))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(+ (* 4 y) (pow x 2))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* y (+ 4 (/ (pow x 2) y)))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(* y (+ 4 (/ (pow x 2) y)))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(* y (+ 4 (/ (pow x 2) y)))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 4)))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 4)))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 4)))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))

eval16.0ms (0.5%)

Memory: 3.0MiB live, 41.5MiB allocated
Compiler: Compiled 1 425 to 124 computations (91.3% saved)

prune8.0ms (0.3%)

Memory

22.5MiB live, 22.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	164	7	171

Accuracy

100.0%

Counts

171 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	54.8%	(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
✓	100.0%	(+.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
✓	54.8%	(+.f64 (*.f64 x x) y)
✓	55.7%	(+.f64 y y)
✓	46.5%	(*.f64 x x)
▶	11.5%	y

Compiler

Compiled 47 to 29 computations (38.3% saved)

simplify5.0ms (0.2%)

Memory

-33.7MiB live, 5.5MiB 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
y

Outputs
y

localize6.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Samples

4.0ms

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)

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

series0.0ms (0%)

Memory

0.0MiB live, 0.1MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite7.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB 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

simplify3.0ms (0.1%)

Memory

4.9MiB live, 4.8MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune6.0ms (0.2%)

Memory

-28.8MiB live, 10.2MiB 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%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	54.8%	(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
✓	100.0%	(+.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
✓	54.8%	(+.f64 (*.f64 x x) y)
✓	55.7%	(+.f64 y y)
✓	46.5%	(*.f64 x x)
✓	11.5%	y

Compiler

Compiled 82 to 41 computations (50% saved)

regimes12.0ms (0.4%)

Memory

30.9MiB live, 30.9MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
y
(*.f64 x x)
(+.f64 y y)
(+.f64 (*.f64 x x) y)
(+.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
(+.f64 (.f64 x x) (.f64 y #s(literal 4 binary64)))
(+.f64 (+.f64 (*.f64 x x) y) y)

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

Calls

4 calls:

3.0ms	y
3.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
3.0ms	x
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 12 computations (40% saved)

regimes10.0ms (0.3%)

Memory

-23.2MiB live, 19.7MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
y
(*.f64 x x)
(+.f64 y y)
(+.f64 (*.f64 x x) y)

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

Calls

3 calls:

5.0ms	(*.f64 x x)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
87.2%	2	`x`
69.5%	3	`y`
87.2%	2	`(*.f64 x x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
y
(*.f64 x x)
(+.f64 y y)

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

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
85.6%	2	`x`
85.6%	2	`(*.f64 x x)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes6.0ms (0.2%)

Memory

-26.9MiB live, 12.4MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
y
(*.f64 x x)

Outputs
y
(*.f64 x x)

Calls

3 calls:

2.0ms	x
2.0ms	y
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
46.5%	1	`y`
51.7%	2	`x`
51.7%	2	`(*.f64 x x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
11.5%	1	`y`
11.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch9.0ms (0.3%)

Memory

24.9MiB live, 24.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.7764217809508118e-115	3.267409186388292e-110

Samples

4.0ms

144×

valid

Compiler

Compiled 120 to 82 computations (31.7% saved)

Precisions

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

ival-add: 1.0ms (66.1% of total)

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

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

bsearch11.0ms (0.4%)

Memory

-14.9MiB live, 24.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	5.247982160312627e+114	6.302884461739224e+120

Samples

6.0ms

144×

valid

Compiler

Compiled 102 to 73 computations (28.4% saved)

Precisions

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

ival-add: 1.0ms (65.6% of total)

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

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

bsearch10.0ms (0.3%)

Memory

-13.2MiB live, 25.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.0635676395499582e-128	9.069149957765289e-123

Samples

4.0ms

144×

valid

Compiler

Compiled 84 to 64 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add: 1.0ms (66.7% of total)

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

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

simplify8.0ms (0.3%)

Memory

25.6MiB live, 25.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	20	44

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 2284609428139099/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (+.f64 y y) (+.f64 (.f64 x x) y))
(if (<=.f64 (.f64 x x) #s(literal 5400000000000000084020847099120952331048287543373731740196761134326502418289680797630921105541256217451513916686336 binary64)) (+.f64 y y) (.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 1024323743072435/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) y (.f64 x x))
y

Outputs
(+.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 2284609428139099/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (+.f64 y y) (+.f64 (.f64 x x) y))
(if (<=.f64 (.f64 x x) #s(literal 5400000000000000084020847099120952331048287543373731740196761134326502418289680797630921105541256217451513916686336 binary64)) (+.f64 y y) (.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 1024323743072435/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) y (.f64 x x))
y

soundness770.0ms (25.3%)

Memory

-6.9MiB live, 903.8MiB allocated

Rules

4 690×	`accelerator-lowering-fma.f32`
4 690×	`accelerator-lowering-fma.f64`
4 590×	`accelerator-lowering-fma.f32`
4 590×	`accelerator-lowering-fma.f64`
3 340×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	462
1	80	462
2	193	462
3	654	462
4	1927	462
5	3632	462
6	6731	462
0	8180	408
0	5	7
1	9	7
2	12	7
3	13	7
0	13	6
0	29	354
1	83	354
2	196	354
3	664	354
4	1947	354
5	3679	354
6	6789	354
0	8174	318

Stop Event

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

Compiler

Compiled 120 to 63 computations (47.5% saved)

preprocess39.0ms (1.3%)

Memory: 22.1MiB live, 101.3MiB allocated
Remove: (abs x)
Compiler: Compiled 164 to 78 computations (52.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample624.0ms (20.5%)

preprocess45.0ms (1.5%)

explain75.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.2%)

localize25.0ms (0.8%)

series7.0ms (0.2%)

rewrite519.0ms (17%)

simplify331.0ms (10.9%)

eval73.0ms (2.4%)

prune58.0ms (1.9%)

simplify4.0ms (0.1%)

localize48.0ms (1.6%)

series3.0ms (0.1%)

rewrite68.0ms (2.2%)

simplify222.0ms (7.3%)

eval16.0ms (0.5%)

prune8.0ms (0.3%)

simplify5.0ms (0.2%)

localize6.0ms (0.2%)

series0.0ms (0%)

rewrite7.0ms (0.2%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune6.0ms (0.2%)

regimes12.0ms (0.4%)

regimes10.0ms (0.3%)

regimes4.0ms (0.1%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch9.0ms (0.3%)

bsearch11.0ms (0.4%)

bsearch10.0ms (0.3%)

simplify8.0ms (0.3%)

soundness770.0ms (25.3%)

preprocess39.0ms (1.3%)

end0.0ms (0%)

Profiling