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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

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)

sample536.0ms (18.6%)

Memory

24.2MiB live, 731.1MiB allocated

Samples

352.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-add: 91.0ms (52.8% of total)

ival-mult: 72.0ms (41.8% of total)

ival-true: 6.0ms (3.5% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain69.0ms (2.4%)

Memory

-38.2MiB live, 139.7MiB 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	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

21.0ms

512×

valid

Compiler

Compiled 47 to 19 computations (59.6% saved)

Precisions

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

ival-add: 5.0ms (49.9% of total)

ival-mult: 4.0ms (40% of total)

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

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

preprocess28.0ms (1%)

Memory

-2.3MiB live, 35.6MiB allocated

Algorithm

1×	egg-herbie

Rules

118×	`sub-neg`
108×	`unsub-neg`
72×	`associate-+l-`
64×	`distribute-rgt-in`
58×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	50	36
2	151	35
3	358	35
4	529	35
5	663	35
6	687	35
0	5	7
0	8	7
1	12	7
2	15	7
3	16	7
0	16	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(+.f64 (+.f64 (*.f64 x x) y) y)
cost-diff	128	(+.f64 (*.f64 x x) y)

Rules

14×	`lower-+.f32`
10×	`lower-+.f64`
8×	`lower-fma.f64`
8×	`lower-fma.f32`
6×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	12	17
2	15	17
3	16	17
0	16	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.5%)

Memory

24.2MiB live, 24.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(+.f64 (*.f64 x x) y)
accuracy	0.014003759768442016	(+.f64 (+.f64 (*.f64 x x) y) y)

Samples

10.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (46.1% of total)

ival-mult: 2.0ms (46.1% of total)

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

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

series6.0ms (0.2%)

Memory

-32.7MiB live, 6.6MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (+.f64 (*.f64 x x) y)>
#<alt (+.f64 (+.f64 (*.f64 x x) y) y)>
#<alt (*.f64 x x)>

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((+ (* x x) y) (+ (+ (* x x) y) y) (* x x))
1.0ms	x	@	0	((+ (* x x) y) (+ (+ (* x x) y) y) (* x x))
1.0ms	x	@	-inf	((+ (* x x) y) (+ (+ (* x x) y) y) (* x x))
1.0ms	y	@	inf	((+ (* x x) y) (+ (+ (* x x) y) y) (* x x))
1.0ms	x	@	inf	((+ (* x x) y) (+ (+ (* x x) y) y) (* x x))

simplify142.0ms (4.9%)

Memory

34.7MiB live, 186.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 690×	`lower-fma.f64`
4 690×	`lower-fma.f32`
3 340×	`lower-*.f64`
3 340×	`lower-*.f32`
1 326×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	282
1	80	282
2	193	282
3	649	282
4	1930	282
5	3616	282
6	6722	282
0	8178	246

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 57

Calls

Call 1

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

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

rewrite382.0ms (13.3%)

Memory

-8.7MiB live, 386.4MiB allocated

Rules

7 306×	`lower-fma.f64`
7 306×	`lower-fma.f32`
4 782×	`lower-*.f32`
4 780×	`lower-*.f64`
2 300×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	37	15
2	316	15
3	4987	15
0	8103	13

Stop Event

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

Counts

3 → 251

Calls

Call 1

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

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

eval41.0ms (1.4%)

Memory: 21.1MiB live, 59.7MiB allocated
Compiler: Compiled 8 889 to 701 computations (92.1% saved)

prune211.0ms (7.3%)

Memory

-21.2MiB live, 66.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	304	4	308
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	305	4	309

Accuracy

100.0%

Counts

309 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (+.f64 y y))
▶	59.0%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
▶	51.4%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
▶	50.6%	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Compiler

Compiled 28 to 15 computations (46.4% saved)

simplify6.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y y)
cost-diff	0	(fma.f64 x x (+.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x x) y) (*.f64 x x))
cost-diff	0	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
cost-diff	0	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
cost-diff	128	(*.f64 #s(literal 2 binary64) y)

Rules

18×	`lower-+.f32`
14×	`lower-+.f64`
8×	`lower-fma.f32`
8×	`+-commutative`
6×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	67
0	19	65
1	25	65
0	25	63

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize121.0ms (4.2%)

Memory

2.3MiB live, 41.1MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x (+.f64 y y))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.014003759768442016	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
accuracy	31.058360042605333	#s(approx (+ (* x x) y) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	31.11522569773147	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	31.643986172776994	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Samples

109.0ms

256×

valid

Compiler

Compiled 54 to 11 computations (79.6% saved)

Precisions

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

ival-add: 4.0ms (49.8% of total)

ival-mult: 3.0ms (37.3% 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

4.7MiB live, 4.7MiB allocated

Counts

8 → 156

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt #s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))>
#<alt #s(approx (+ (+ (* x x) y) y) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)>
#<alt #s(approx (+ (* x x) y) (*.f64 x x))>
#<alt (fma.f64 x x (+.f64 y y))>
#<alt (+.f64 y y)>

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

Calls

6 calls:

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

simplify148.0ms (5.1%)

Memory

-4.0MiB live, 151.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 558×	`lower-fma.f64`
4 558×	`lower-fma.f32`
3 232×	`lower-*.f64`
3 232×	`lower-*.f32`
1 326×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	786
1	80	786
2	193	786
3	650	786
4	1924	786
5	3645	786
6	6740	786
0	8121	696

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

rewrite107.0ms (3.7%)

Memory

-8.5MiB live, 74.1MiB allocated

Rules

504×	`lower-fma.f32`
502×	`lower-fma.f64`
304×	`lower-*.f32`
300×	`lower-*.f64`
260×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
0	19	55
1	75	55
0	667	53

Stop Event

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

Counts

8 → 134

Calls

Call 1

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

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

eval43.0ms (1.5%)

Memory: 3.4MiB live, 76.9MiB allocated
Compiler: Compiled 3 095 to 242 computations (92.2% saved)

prune21.0ms (0.7%)

Memory

-1.9MiB live, 35.3MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	302	1	303
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	303	4	307

Accuracy

100.0%

Counts

307 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	59.0%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
▶	50.6%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
✓	51.4%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 28 to 14 computations (50% saved)

simplify5.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y y)
cost-diff	0	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

Rules

14×	`lower-+.f32`
12×	`lower-+.f64`
8×	`lower-fma.f64`
8×	`lower-fma.f32`
6×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	8	15
1	13	15
2	15	15
0	15	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
(+.f64 y y)
y

Outputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
(+.f64 y y)
y

localize22.0ms (0.8%)

Memory

-25.8MiB live, 26.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 y y)
accuracy	31.643986172776994	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

Samples

17.0ms

256×

valid

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 9.0ms (75.1% of total)

ival-mult: 2.0ms (16.7% of total)

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

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

series2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y))>
#<alt (+.f64 y y)>

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

Calls

6 calls:

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

simplify299.0ms (10.4%)

Memory

23.7MiB live, 220.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 234×	`lower-fma.f64`
3 234×	`lower-fma.f32`
3 064×	`lower-*.f64`
3 064×	`lower-*.f32`
1 974×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	180
1	53	180
2	130	180
3	426	180
4	1329	180
5	3258	180
6	6178	180
0	8055	162

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

rewrite64.0ms (2.2%)

Memory

-4.6MiB live, 72.5MiB allocated

Rules

188×	`lower-fma.f64`
188×	`lower-fma.f32`
170×	`lower-*.f64`
170×	`lower-*.f32`
150×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
0	8	14
1	43	14
0	376	13

Stop Event

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

Counts

2 → 12

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
(+.f64 y y)

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

eval4.0ms (0.1%)

Memory: 10.3MiB live, 10.3MiB allocated
Compiler: Compiled 318 to 27 computations (91.5% saved)

prune10.0ms (0.3%)

Memory

-29.7MiB live, 12.2MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	48	4	52

Accuracy

100.0%

Counts

52 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	59.0%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
✓	50.6%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
✓	51.4%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 61 to 23 computations (62.3% saved)

regimes11.0ms (0.4%)

Memory

24.0MiB live, 24.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
3.0ms	x
3.0ms	y
2.0ms	(*.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)

regimes11.0ms (0.4%)

Memory

-17.2MiB live, 20.1MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
89.1%	2	`x`
70.8%	3	`y`
80.7%	2	`(+.f64 (+.f64 (*.f64 x x) y) y)`
89.1%	2	`(*.f64 x x)`

Compiler

Compiled 20 to 12 computations (40% saved)

regimes4.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

3 → 2

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
87.4%	2	`x`
87.4%	2	`(*.f64 x x)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes6.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
50.6%	1	`y`
50.6%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
50.6%	1	`x`
50.6%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 12 computations (40% saved)

bsearch12.0ms (0.4%)

Memory

-17.1MiB live, 20.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.21169317552469e-123	6.235779016549637e-117

Samples

6.0ms

144×

valid

Compiler

Compiled 138 to 82 computations (40.6% saved)

Precisions

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

ival-add: 1.0ms (65.1% of total)

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

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

bsearch3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.21169317552469e-123	6.235779016549637e-117

Samples

1.0ms

32×

valid

Compiler

Compiled 120 to 73 computations (39.2% saved)

Precisions

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

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

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

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

simplify7.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	73
1	19	73

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (+.f64 y y))
(if (<=.f64 (.f64 x x) #s(literal 248431204593225/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) #s(approx (+ (+ ( x x) y) y) (+.f64 y y)) (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y))
(if (<=.f64 (.f64 x x) #s(literal 8801562677017115/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) #s(approx (+ (+ ( x x) y) y) (+.f64 y y)) #s(approx (+ (+ (* x x) y) y) (*.f64 x x)))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

Outputs
(fma.f64 x x (+.f64 y y))
(if (<=.f64 (.f64 x x) #s(literal 248431204593225/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) #s(approx (+ (+ ( x x) y) y) (+.f64 y y)) (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y))
(if (<=.f64 (.f64 x x) #s(literal 248431204593225/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) #s(approx (+ (+ ( x x) y) y) (+.f64 y y)) (+.f64 y #s(approx (+ (* x x) y) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 8801562677017115/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) #s(approx (+ (+ ( x x) y) y) (+.f64 y y)) #s(approx (+ (+ (* x x) y) y) (*.f64 x x)))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

soundness491.0ms (17.1%)

Memory

-12.1MiB live, 323.3MiB allocated

Rules

7 306×	`lower-fma.f64`
7 306×	`lower-fma.f32`
4 782×	`lower-*.f32`
4 780×	`lower-*.f64`
4 690×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	37	15
2	316	15
3	4987	15
0	8103	13
0	27	282
1	80	282
2	193	282
3	649	282
4	1930	282
5	3616	282
6	6722	282
0	8178	246
0	14	57
0	19	55
1	75	55
0	667	53

Stop Event

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

Compiler

Compiled 102 to 50 computations (51% saved)

preprocess44.0ms (1.5%)

Memory: -10.1MiB live, 109.4MiB allocated
Remove: (abs x)
Compiler: Compiled 136 to 52 computations (61.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	37
1	50	36
2	151	35
3	358	35
4	529	35
5	663	35
6	687	35
0	5	7
0	8	7
1	12	7
2	15	7
3	16	7
0	16	6

Iter	Nodes	Cost
0	15	37
1	50	36
2	151	35
3	358	35
4	529	35
5	663	35
6	687	35
0	5	7
0	8	7
1	12	7
2	15	7
3	16	7
0	16	6

start0.0ms (0%)

analyze0.0ms (0%)

sample536.0ms (18.6%)

explain69.0ms (2.4%)

preprocess28.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize15.0ms (0.5%)

series6.0ms (0.2%)

simplify142.0ms (4.9%)

rewrite382.0ms (13.3%)

eval41.0ms (1.4%)

prune211.0ms (7.3%)

simplify6.0ms (0.2%)

localize121.0ms (4.2%)

series4.0ms (0.1%)

simplify148.0ms (5.1%)

rewrite107.0ms (3.7%)

eval43.0ms (1.5%)

prune21.0ms (0.7%)

simplify5.0ms (0.2%)

localize22.0ms (0.8%)

series2.0ms (0.1%)

simplify299.0ms (10.4%)

rewrite64.0ms (2.2%)

eval4.0ms (0.1%)

prune10.0ms (0.3%)

regimes11.0ms (0.4%)

regimes11.0ms (0.4%)

regimes4.0ms (0.1%)

regimes6.0ms (0.2%)

bsearch12.0ms (0.4%)

bsearch3.0ms (0.1%)

simplify7.0ms (0.2%)

soundness491.0ms (17.1%)

preprocess44.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	37
1	50	36
2	151	35
3	358	35
4	529	35
5	663	35
6	687	35
0	5	7
0	8	7
1	12	7
2	15	7
3	16	7
0	16	6