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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample842.0ms (28.9%)

Memory

-7.8MiB live, 871.0MiB allocated

Samples

547.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 387.0ms

ival-mult: 236.0ms (61% of total)

ival-add: 141.0ms (36.5% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain94.0ms (3.2%)

Memory

1.2MiB live, 116.1MiB 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

54.0ms

512×

valid

Compiler

Compiled 47 to 19 computations (59.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 30.0ms (84.8% of total)

ival-add: 5.0ms (14.1% of total)

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

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

preprocess51.0ms (1.8%)

Memory

-19.1MiB live, 27.6MiB allocated

Algorithm

1×	egg-herbie

Rules

59×	`sub-neg`
54×	`unsub-neg`
36×	`associate-+l-`
32×	`distribute-rgt-in`
29×	`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)
(fma.f64 x x (+.f64 y y))

Symmetry

(abs x)

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

simplify3.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB 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

7×	`lower-+.f32`
5×	`lower-+.f64`
4×	`lower-fma.f64`
4×	`lower-fma.f32`
3×	`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)
(fma.f64 x x (+.f64 y y))
(+.f64 (*.f64 x x) y)
(fma.f64 x x y)
(*.f64 x x)
x
y

localize16.0ms (0.5%)

Memory

16.6MiB live, 16.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (*.f64 x x) y)
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.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: 5.0ms

ival-add: 2.0ms (44.1% of total)

ival-mult: 2.0ms (44.1% of total)

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

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

series3.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

Inputs

#s(alt (+.f64 (*.f64 x x) y) (patch (+.f64 (*.f64 x x) y) #<representation binary64>) () ())

#s(alt (+.f64 (+.f64 (*.f64 x x) y) y) (patch (+.f64 (+.f64 (*.f64 x x) y) y) #<representation binary64>) () ())

#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt y (taylor 0 x) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor inf x) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y (pow x 2)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (.f64 x x) y) (patch (+.f64 (.f64 x x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

15 calls:

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

simplify136.0ms (4.7%)

Memory

3.1MiB live, 118.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 279×	`lower-fma.f64`
2 279×	`lower-fma.f32`
1 616×	`lower-*.f64`
1 616×	`lower-*.f32`
663×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	282
1	80	282
2	193	282
3	655	282
4	1935	282
5	3634	282
6	6739	282
0	8124	246

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 57

Calls

Call 1

Inputs
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)))
(* 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)

Outputs
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)
(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 (/ 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)
(+ 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)
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)
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)
(+ (* 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)
(+ (* 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)
(* 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)
(* -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))
(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)

rewrite294.0ms (10.1%)

Memory

-0.5MiB live, 241.1MiB allocated

Rules

3 653×	`lower-fma.f64`
3 653×	`lower-fma.f32`
2 391×	`lower-*.f32`
2 390×	`lower-*.f64`
1 150×	`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 (pow.f64 (/.f64 (fma.f64 x x (neg.f64 y)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 y y)) (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 y y))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x (neg.f64 y)) (.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 x x) x) x (.f64 y y))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (*.f64 (neg.f64 y) y) y))))
(.f64 (pow.f64 (/.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 y y)) y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) y) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 x x) x) x (*.f64 (fma.f64 x x y) y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y) (.f64 y (.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y) (.f64 y (*.f64 x x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) (.f64 (.f64 (.f64 (.f64 (-.f64 y (.f64 x x)) y) y) (-.f64 y (.f64 x x))) (.f64 (-.f64 y (.f64 x x)) y)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (-.f64 y (.f64 x x)) y) (-.f64 (.f64 (-.f64 y (.f64 x x)) y) (.f64 (.f64 (.f64 x x) x) x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y)) (*.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y))) #s(literal 1 binary64)) (fma.f64 x x y))
(.f64 (pow.f64 (.f64 (fma.f64 x x y) (-.f64 y (.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 x x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (neg.f64 y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (neg.f64 (fma.f64 x x y))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y))) #s(literal 1 binary64)) (pow.f64 (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 x x y) (fma.f64 y y (.f64 (*.f64 x x) (fma.f64 x x (neg.f64 y))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) #s(literal 1 binary64)) (pow.f64 (.f64 (fma.f64 x x y) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y))))) #s(literal 1 binary64)) (pow.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y))))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y))) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 (fma.f64 x x y) y)))
(.f64 (/.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y) (.f64 y (.f64 x x))))) (fma.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y) (.f64 y (*.f64 x x))))
(.f64 (/.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) (.f64 (.f64 (.f64 (.f64 (-.f64 y (.f64 x x)) y) y) (-.f64 y (.f64 x x))) (.f64 (-.f64 y (.f64 x x)) y)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) x)) x (.f64 (.f64 (-.f64 y (.f64 x x)) y) (-.f64 (.f64 (-.f64 y (.f64 x x)) y) (.f64 (.f64 (.f64 x x) x) x)))))
(.f64 (/.f64 (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y)) (*.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y))) (fma.f64 x x y))
(.f64 (.f64 (fma.f64 x x y) (-.f64 y (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y))) (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y))))) (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x y))
(.f64 (neg.f64 (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (neg.f64 y)))))
(.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (neg.f64 (fma.f64 x x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))))))
(.f64 (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y))))
(.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (/.f64 (fma.f64 x x y) (fma.f64 y y (.f64 (*.f64 x x) (fma.f64 x x (neg.f64 y))))))
(.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (.f64 (fma.f64 x x y) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))))))
(.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y))))))
(*.f64 (fma.f64 x x y) (pow.f64 (/.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x (neg.f64 y))) #s(literal 1 binary64)))
(.f64 (fma.f64 x x y) (pow.f64 (.f64 (fma.f64 x x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x y) (/.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x (neg.f64 y))))
(.f64 (fma.f64 x x y) (.f64 (fma.f64 x x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y)))))
(pow.f64 (/.f64 (-.f64 y (.f64 x x)) (.f64 (fma.f64 x x y) (-.f64 y (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x y)) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x y) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 y y)) (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y)))) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 y y)))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 x x) x) x (.f64 y y)))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (*.f64 (neg.f64 y) y) y)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 y y)) y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))))) (fma.f64 (.f64 (.f64 y y) y) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x (neg.f64 y))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x (neg.f64 y)))) (.f64 (/.f64 (.f64 y y) (fma.f64 x x (neg.f64 y))) (/.f64 (.f64 y y) (fma.f64 x x (neg.f64 y))))) (fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 x x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (fma.f64 x x (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x (neg.f64 y))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x (neg.f64 y))) (fma.f64 (/.f64 (.f64 y y) (fma.f64 x x (neg.f64 y))) (/.f64 (.f64 y y) (fma.f64 x x (neg.f64 y))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 x x (neg.f64 y)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x y) (-.f64 y (.f64 x x)))) (neg.f64 (-.f64 y (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y)))) (neg.f64 (neg.f64 (fma.f64 x x (neg.f64 y)))))
(/.f64 (neg.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (neg.f64 (fma.f64 x x y)))) (neg.f64 (neg.f64 (fma.f64 y y (.f64 (*.f64 x x) (fma.f64 x x (neg.f64 y)))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 y y)) (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 y y)) (fma.f64 x x (neg.f64 y))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 x x) x) x (*.f64 y y)))) (fma.f64 x x (neg.f64 y))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 (neg.f64 y) y) y)) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 y y)) y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) y) (-.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x))) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y))))))
(/.f64 (.f64 (.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y)) #s(literal 1 binary64)) (fma.f64 x x (neg.f64 y)))
(/.f64 (.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) #s(literal 1 binary64)) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x (neg.f64 y))) (.f64 (fma.f64 x x (neg.f64 y)) (.f64 y y))) (*.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x (neg.f64 y))))
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(fma.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (.f64 (fma.f64 x x y) (-.f64 y (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 x x))) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y))) #s(literal -1 binary64)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y))) (*.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (.f64 (*.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y))) #s(literal -1 binary64)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y))))) (.f64 (fma.f64 y y (.f64 (*.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) y)
(fma.f64 #s(literal 1 binary64) (fma.f64 x x y) y)
(fma.f64 (.f64 (.f64 y y) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 x x))
(fma.f64 (neg.f64 (*.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (neg.f64 y)))) y)
(fma.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (neg.f64 (fma.f64 x x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (.f64 (*.f64 x x) (fma.f64 x x (neg.f64 y)))))) y)
(fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 y (+.f64 y y)) #s(literal 2 binary64)) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 x x))
(fma.f64 (+.f64 y y) (+.f64 y y) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y))) y)
(fma.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (/.f64 (fma.f64 x x y) (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y))))) y)
(fma.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (.f64 (fma.f64 x x y) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (*.f64 x x) (fma.f64 x x (neg.f64 y)))))) y)
(fma.f64 (.f64 (fma.f64 y y (.f64 (.f64 x x) (fma.f64 x x (neg.f64 y)))) (fma.f64 x x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (*.f64 x x) (fma.f64 x x (neg.f64 y))))) y)
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(fma.f64 (.f64 (.f64 y y) y) #s(literal 8 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 y (+.f64 y y)) (.f64 x x))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 (fma.f64 x x y) (pow.f64 (/.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x (neg.f64 y))) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 x x y) (pow.f64 (*.f64 (fma.f64 x x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y)))) #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 x x y) (/.f64 (fma.f64 x x (neg.f64 y)) (fma.f64 x x (neg.f64 y))) y)
(fma.f64 (fma.f64 x x y) (/.f64 (fma.f64 x x y) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(fma.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y)))) y)
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x x (+.f64 y y))
(-.f64 (+.f64 y (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x (neg.f64 y)))) (/.f64 (.f64 y y) (fma.f64 x x (neg.f64 y))))
(-.f64 (/.f64 (.f64 y y) (.f64 (neg.f64 x) x)) (/.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x (.f64 #s(literal -2 binary64) y))) (/.f64 (+.f64 y y) (fma.f64 x x (*.f64 #s(literal -2 binary64) y))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x (neg.f64 y))) (-.f64 (/.f64 (.f64 y y) (fma.f64 x x (neg.f64 y))) y))
(-.f64 (/.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 y y)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(+.f64 (+.f64 y y) (*.f64 x x))
(+.f64 (fma.f64 x x y) y)
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 x x) (+.f64 y y))
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval46.0ms (1.6%)

Memory: 12.4MiB live, 50.1MiB allocated
Compiler: Compiled 8 883 to 706 computations (92.1% saved)

prune69.0ms (2.4%)

Memory

-14.3MiB 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))
▶	62.9%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
▶	56.0%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
▶	46.6%	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Compiler

Compiled 28 to 15 computations (46.4% saved)

simplify5.0ms (0.2%)

Memory

4.7MiB live, 4.7MiB 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

9×	`lower-+.f32`
7×	`lower-+.f64`
4×	`lower-fma.f32`
4×	`+-commutative`
3×	`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)
#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

localize39.0ms (1.3%)

Memory

-2.3MiB live, 36.3MiB 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	0.00390625	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
accuracy	28.13386397086973	#s(approx (+ (* x x) y) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	28.139744303995926	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	34.14712297769542	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Samples

27.0ms

256×

valid

Compiler

Compiled 54 to 11 computations (79.6% saved)

Precisions

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

ival-add: 4.0ms (45.8% of total)

ival-mult: 4.0ms (45.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

8 → 156

Calls

Call 1

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

Outputs
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 #s(literal 2 binary64) y)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 x x)) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())

Calls

39 calls:

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

simplify137.0ms (4.7%)

Memory

-12.3MiB live, 105.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 345×	`lower-fma.f64`
2 345×	`lower-fma.f32`
1 670×	`lower-*.f64`
1 670×	`lower-*.f32`
663×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	786
1	80	786
2	193	786
3	654	786
4	1927	786
5	3632	786
6	6731	786
0	8180	696

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

Inputs
(* 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)))
(* 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) (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)))
(* 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)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)

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

rewrite50.0ms (1.7%)

Memory

13.5MiB live, 53.0MiB allocated

Rules

854×	`frac-times`
252×	`lower-fma.f32`
251×	`lower-fma.f64`
238×	`associate-*r/`
170×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
0	19	45
1	75	45
2	667	45
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 (.f64 (+.f64 y y) #s(literal 2 binary64)) y)
(.f64 (.f64 (+.f64 y y) y) #s(literal 2 binary64))
(*.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)))
(.f64 #s(literal 4 binary64) (.f64 y y))
(.f64 #s(literal 8 binary64) (.f64 (*.f64 y y) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 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 (.f64 y y) #s(literal 4 binary64))
(.f64 (.f64 (*.f64 y y) y) #s(literal 8 binary64))
(*.f64 (+.f64 y y) (+.f64 y y))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 y y)))
(*.f64 y #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 y (+.f64 y y)))
(*.f64 #s(literal 2 binary64) y)
(pow.f64 (+.f64 y y) #s(literal 3 binary64))
(pow.f64 (+.f64 y y) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) (+.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 (+.f64 y y) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.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 #s(literal 1 binary64) (+.f64 y y))
(/.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 (.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 (.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 (.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 (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 #s(literal 0 binary64) #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)))
(fma.f64 (+.f64 y y) y (*.f64 (+.f64 y y) y))
(fma.f64 y (+.f64 y y) (*.f64 y (+.f64 y y)))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y y)) #s(literal 3 binary64)))
(+.f64 (.f64 y (+.f64 y y)) (.f64 y (+.f64 y y)))
(+.f64 (.f64 (+.f64 y y) y) (.f64 (+.f64 y y) y))
(+.f64 y y)
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 #s(approx (+ (* x x) y) (.f64 x x)) y) (-.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)))
(.f64 (fma.f64 (.f64 #s(approx (+ (* x x) y) (.f64 x x)) #s(approx (+ ( x x) y) (.f64 x x))) #s(approx (+ ( x x) y) (.f64 x x)) (.f64 (.f64 y 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 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ (* x x) y) (.f64 x x)) y) (.f64 (+.f64 #s(approx (+ (* x x) y) (.f64 x x)) y) (-.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 (.f64 #s(approx (+ (* x x) y) (.f64 x x)) #s(approx (+ ( x x) y) (.f64 x x))) #s(approx (+ ( x x) y) (.f64 x x)) (.f64 (*.f64 y y) y))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(approx (+ ( x x) y) (.f64 x x)) y) (-.f64 #s(approx (+ ( x x) y) (.f64 x x)) y))) (neg.f64 (-.f64 #s(approx (+ ( x x) y) (*.f64 x x)) y)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(approx (+ ( x x) y) (.f64 x x)) #s(approx (+ ( x x) y) (.f64 x x))) #s(approx (+ ( x x) y) (.f64 x x)) (.f64 (.f64 y 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 (.f64 (+.f64 #s(approx (+ ( x x) y) (.f64 x x)) y) (-.f64 #s(approx (+ ( x x) y) (.f64 x x)) y)) (-.f64 #s(approx (+ ( x x) y) (*.f64 x x)) y))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( x x) y) (.f64 x x)) #s(approx (+ ( x x) y) (.f64 x x))) #s(approx (+ ( x x) y) (.f64 x x)) (.f64 (.f64 y 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 #s(approx (+ (* x x) y) (*.f64 x x)) y))))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( x x) y) (.f64 x x)) #s(approx (+ ( x x) y) (.f64 x x))) #s(approx (+ ( x x) y) (.f64 x x)) (.f64 (.f64 y 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 (/.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 #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 (.f64 (fma.f64 x x (+.f64 y y)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x (neg.f64 y)) y)))
(.f64 (fma.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x y) (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x y) (fma.f64 x x y) (*.f64 y (-.f64 y (fma.f64 x x y))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (+.f64 y y) (.f64 (+.f64 y y) (*.f64 x x))))))
(/.f64 (-.f64 (+.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (+.f64 y y) (.f64 x x)))
(/.f64 (-.f64 (.f64 y y) (.f64 (fma.f64 x x y) (fma.f64 x x y))) (-.f64 y (fma.f64 x x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x (+.f64 y y)) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x (neg.f64 y)) y) (-.f64 (.f64 (.f64 (*.f64 x x) x) x) (+.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x y) (fma.f64 x x y) (.f64 y (-.f64 y (fma.f64 x x y)))) (fma.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x y) (.f64 (.f64 y y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (+.f64 y y) (.f64 (+.f64 y y) (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (+.f64 y y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (+.f64 y y)) (fma.f64 x x #s(literal 0 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (*.f64 x x) x) x) (+.f64 y y))) (neg.f64 (-.f64 (fma.f64 x x (neg.f64 y)) y)))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x y) (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 (fma.f64 x x y) (fma.f64 x x y) (.f64 y (-.f64 y (fma.f64 x x y))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (+.f64 y y))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (+.f64 y y) (.f64 (+.f64 y y) (.f64 x x))))))
(/.f64 (*.f64 (fma.f64 x x (+.f64 y y)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (*.f64 x x) x) x) (+.f64 y y)) (-.f64 (fma.f64 x x (neg.f64 y)) y))
(/.f64 (fma.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x y) (.f64 (.f64 y y) y)) (fma.f64 y y (-.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (fma.f64 x x y) y))))
(/.f64 (fma.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x y) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 x x y) (fma.f64 x x y) (.f64 y (-.f64 y (fma.f64 x x y)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (+.f64 y y)) (+.f64 (+.f64 y y) (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (+.f64 y y) (*.f64 x x)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (+.f64 y y)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (+.f64 y y) (.f64 (+.f64 y y) (.f64 x x)))))
(fma.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) y (.f64 x x))
(fma.f64 (.f64 (+.f64 y y) y) #s(literal 2 binary64) (.f64 x x))
(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 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 x x))
(fma.f64 #s(literal 8 binary64) (.f64 (.f64 y y) y) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 y))) y)
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 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 (.f64 y y) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))) y)
(fma.f64 (.f64 (.f64 y y) y) #s(literal 8 binary64) (*.f64 x x))
(fma.f64 (+.f64 y y) (+.f64 y y) (*.f64 x x))
(fma.f64 x x (+.f64 y y))
(fma.f64 y (.f64 #s(literal 2 binary64) (+.f64 y y)) (.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 y (+.f64 y y)) (.f64 x x))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(-.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 (.f64 (*.f64 x x) x) x) (-.f64 (fma.f64 x x (neg.f64 y)) y)) (/.f64 (+.f64 y y) (-.f64 (fma.f64 x x (neg.f64 y)) y)))
(+.f64 (+.f64 y y) (*.f64 x x))
(+.f64 (*.f64 x x) (+.f64 y y))
(+.f64 (fma.f64 x x y) y)
(+.f64 y (fma.f64 x x y))
(.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) y)
(.f64 (.f64 (+.f64 y y) y) #s(literal 2 binary64))
(*.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)))
(.f64 #s(literal 4 binary64) (.f64 y y))
(.f64 #s(literal 8 binary64) (.f64 (*.f64 y y) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 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 (.f64 y y) #s(literal 4 binary64))
(.f64 (.f64 (*.f64 y y) y) #s(literal 8 binary64))
(*.f64 (+.f64 y y) (+.f64 y y))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 y y)))
(*.f64 y #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 y (+.f64 y y)))
(*.f64 #s(literal 2 binary64) y)
(pow.f64 (+.f64 y y) #s(literal 3 binary64))
(pow.f64 (+.f64 y y) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) (+.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 (+.f64 y y) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.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 #s(literal 1 binary64) (+.f64 y y))
(/.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 (.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 (.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 (.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 (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 #s(literal 0 binary64) #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)))
(fma.f64 (+.f64 y y) y (*.f64 (+.f64 y y) y))
(fma.f64 y (+.f64 y y) (*.f64 y (+.f64 y y)))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 y y)) #s(literal 3 binary64)))
(+.f64 (.f64 y (+.f64 y y)) (.f64 y (+.f64 y y)))
(+.f64 (.f64 (+.f64 y y) y) (.f64 (+.f64 y y) y))
(+.f64 y y)

eval35.0ms (1.2%)

Memory: 2.5MiB live, 40.9MiB allocated
Compiler: Compiled 3 095 to 244 computations (92.1% saved)

prune37.0ms (1.3%)

Memory

-2.1MiB live, 36.3MiB 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))
✓	62.9%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
▶	46.6%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
✓	56.0%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 28 to 14 computations (50% saved)

simplify4.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB 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

7×	`lower-+.f32`
6×	`lower-+.f64`
4×	`lower-fma.f64`
4×	`lower-fma.f32`
3×	`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

localize141.0ms (4.8%)

Memory

-31.9MiB live, 28.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 y y)
accuracy	34.14712297769542	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 3.0ms (57.7% of total)

ival-mult: 2.0ms (38.4% of total)

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

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

series1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())

#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())

Outputs
#s(alt (* 2 y) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) (patch #s(approx (+ (+ (* x x) y) y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify121.0ms (4.1%)

Memory

16.7MiB live, 134.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 617×	`lower-fma.f64`
1 617×	`lower-fma.f32`
1 532×	`lower-*.f64`
1 532×	`lower-*.f32`
987×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	180
1	53	180
2	130	180
3	431	180
4	1321	180
5	3236	180
6	6164	180
0	8044	162

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

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)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)

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

rewrite190.0ms (6.5%)

Memory

-18.5MiB live, 60.7MiB allocated

Rules

994×	`frac-times`
276×	`associate-*l/`
248×	`associate-*r/`
157×	`flip-+`
156×	`flip3-+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
0	8	14
1	43	14
2	376	14
3	7971	14
0	8	14
1	43	14
2	376	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 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 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 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.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 #s(literal 1 binary64) (+.f64 y y))
(/.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 0 binary64) #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 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(+.f64 y y)

eval4.0ms (0.1%)

Memory: 11.0MiB live, 11.0MiB allocated
Compiler: Compiled 318 to 27 computations (91.5% saved)

prune4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB 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))
✓	62.9%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
✓	46.6%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
✓	56.0%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 61 to 23 computations (62.3% saved)

regimes14.0ms (0.5%)

Memory

-8.5MiB live, 28.5MiB 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:

6.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
3.0ms	y
3.0ms	x
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)

regimes14.0ms (0.5%)

Memory

-13.4MiB live, 21.9MiB 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:

7.0ms	x
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
2.0ms	y
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
89.7%	2	`x`
70.5%	3	`y`
84.3%	2	`(+.f64 (+.f64 (*.f64 x x) y) y)`
89.7%	2	`(*.f64 x x)`

Compiler

Compiled 20 to 12 computations (40% saved)

regimes4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB 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
88.4%	2	`x`
88.4%	2	`(*.f64 x x)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes6.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB 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
46.6%	1	`y`
46.6%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
46.6%	1	`x`
46.6%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 12 computations (40% saved)

bsearch16.0ms (0.5%)

Memory

-28.1MiB live, 15.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	6.311929076479267e-116	3.4446527678369626e-111

Samples

4.0ms

128×

valid

Compiler

Compiled 124 to 74 computations (40.3% saved)

Precisions

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

ival-add: 1.0ms (73.1% of total)

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

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

bsearch9.0ms (0.3%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	5.48672599079292e-45	1.656513289350551e-41

Samples

4.0ms

128×

valid

Compiler

Compiled 108 to 66 computations (38.9% saved)

Precisions

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

ival-add: 1.0ms (66.2% of total)

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

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

simplify6.0ms (0.2%)

Memory

18.3MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1×	`+-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 4603064921880259/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 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 3640719006524275/25108406941546723055343157692830665664409421777856138051584 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 4603064921880259/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 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 3640719006524275/25108406941546723055343157692830665664409421777856138051584 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))

soundness479.0ms (16.4%)

Memory

-31.6MiB live, 329.5MiB allocated

Rules

3 653×	`lower-fma.f64`
3 653×	`lower-fma.f32`
2 391×	`lower-*.f32`
2 390×	`lower-*.f64`
2 279×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
0	19	45
1	75	45
2	667	45
0	19	55
1	75	55
0	667	53
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	655	282
4	1935	282
5	3634	282
6	6739	282
0	8124	246

Stop Event

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

Compiler

Compiled 102 to 50 computations (51% saved)

preprocess37.0ms (1.3%)

Memory: 27.0MiB live, 104.3MiB 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%)

sample842.0ms (28.9%)

explain94.0ms (3.2%)

preprocess51.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize16.0ms (0.5%)

series3.0ms (0.1%)

simplify136.0ms (4.7%)

rewrite294.0ms (10.1%)

eval46.0ms (1.6%)

prune69.0ms (2.4%)

simplify5.0ms (0.2%)

localize39.0ms (1.3%)

series5.0ms (0.2%)

simplify137.0ms (4.7%)

rewrite50.0ms (1.7%)

eval35.0ms (1.2%)

prune37.0ms (1.3%)

simplify4.0ms (0.1%)

localize141.0ms (4.8%)

series1.0ms (0%)

simplify121.0ms (4.1%)

rewrite190.0ms (6.5%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

regimes14.0ms (0.5%)

regimes14.0ms (0.5%)

regimes4.0ms (0.1%)

regimes6.0ms (0.2%)

bsearch16.0ms (0.5%)

bsearch9.0ms (0.3%)

simplify6.0ms (0.2%)

soundness479.0ms (16.4%)

preprocess37.0ms (1.3%)

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