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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample535.0ms (20%)

Memory

-14.4MiB live, 1 177.0MiB allocated

Samples

328.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 74.0ms (47.6% of total)

ival-add: 73.0ms (47% of total)

ival-true: 6.0ms (3.9% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain66.0ms (2.5%)

Memory

34.1MiB live, 154.6MiB 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

22.0ms

512×

valid

Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions

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

ival-add: 5.0ms (55.4% of total)

ival-mult: 4.0ms (44.3% of total)

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

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

preprocess27.0ms (1%)

Memory

-23.6MiB live, 54.2MiB allocated

Algorithm

1×	egg-herbie

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

Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

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

localize19.0ms (0.7%)

Memory

-10.0MiB live, 37.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (*.f64 x x) y)
accuracy	0.010097509768442016	(+.f64 (+.f64 (*.f64 x x) y) y)

Samples

14.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-add: 6.0ms (75.3% of total)

ival-mult: 2.0ms (25.1% of total)

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

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

series5.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB 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 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (.f64 x x) y) y) (patch (+.f64 (+.f64 (.f64 x x) y) y) #<representation binary64>) () ())

Inputs

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

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

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

Outputs
#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 (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 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 (* 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 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 -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 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 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 (* 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 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 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 (+.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 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 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 (+.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>) () ())) ())

Calls

6 calls:

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

simplify95.0ms (3.5%)

Memory

-8.5MiB live, 104.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 57

Calls

Call 1

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

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

rewrite268.0ms (10%)

Memory

-7.0MiB live, 230.3MiB allocated

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

Outputs
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eval35.0ms (1.3%)

Memory: 36.4MiB live, 73.7MiB allocated
Compiler: Compiled 5 874 to 711 computations (87.9% saved)

prune10.0ms (0.4%)

Memory

-10.6MiB live, 26.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	303	5	308
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	304	5	309

Accuracy

100.0%

Counts

309 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
▶	100.0%	(+.f64 (fma.f64 x x y) y)
▶	60.2%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
▶	48.9%	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64)))
▶	53.1%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 52 to 46 computations (11.5% saved)

simplify4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	76
0	23	76
1	30	76
2	30	76
0	30	76

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (1.7%)

Memory

-32.6MiB live, 51.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x y)
accuracy	0.010097509768442016	(+.f64 (fma.f64 x x y) y)
accuracy	0	(*.f64 x x)
accuracy	0.010097509768442016	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
accuracy	29.93393353736598	#s(approx (+ (* x x) y) (*.f64 x x))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	32.725716833836664	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	29.991230316998568	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
accuracy	0	(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
accuracy	0	(*.f64 #s(literal 2 binary64) y)

Samples

32.0ms

256×

valid

Compiler

Compiled 69 to 11 computations (84.1% saved)

Precisions

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

ival-mult: 5.0ms (61.4% of total)

ival-add: 3.0ms (36.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.3%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

10 → 204

Calls

Call 1

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

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

Calls

6 calls:

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

simplify136.0ms (5.1%)

Memory

-16.3MiB live, 114.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	1032
1	80	1032
2	193	1032
3	651	1032
4	1923	1032
5	3631	1032
6	6729	1032
0	8179	906

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 198

Calls

Call 1

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

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

rewrite174.0ms (6.5%)

Memory

13.4MiB live, 167.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	63
0	23	63
1	74	63
2	566	63
0	8156	63

Stop Event

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

Counts

10 → 850

Calls

Call 1

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

Outputs
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eval209.0ms (7.8%)

Memory: 3.1MiB live, 184.5MiB allocated
Compiler: Compiled 16 016 to 1 351 computations (91.6% saved)

prune25.0ms (0.9%)

Memory

0.7MiB live, 75.3MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 063	3	1 066
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 066	5	1 071

Accuracy

100.0%

Counts

1 071 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (+.f64 y y))
✓	60.2%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
▶	48.9%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
▶	10.4%	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
✓	53.1%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 24 to 22 computations (8.3% saved)

simplify4.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	-128	(+.f64 y y)
cost-diff	0	(fma.f64 x x (+.f64 y y))
cost-diff	-128	(+.f64 y y)
cost-diff	0	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
cost-diff	0	(*.f64 y #s(literal 4 binary64))
cost-diff	0	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	14	40
1	20	40
2	21	40
0	21	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (1.1%)

Memory

6.3MiB live, 56.3MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x (+.f64 y y))
accuracy	0	(+.f64 y y)
accuracy	0	(+.f64 y y)
accuracy	32.725716833836664	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	57.32805900166442	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions

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

ival-add: 4.0ms (50.2% of total)

ival-mult: 3.0ms (37.7% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.3%)

Memory

-27.5MiB live, 10.0MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())
#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>) () ())
#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())

Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<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 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 (pow x 2) (taylor 0 y) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<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 (+.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 (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<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 #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<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 #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<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 #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 4 binary64)) (patch (.f64 y #s(literal 4 binary64)) #<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 -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 (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2))) (taylor -inf y) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#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 (* 2 y) (taylor 0 x) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<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 #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<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 #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<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 #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<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 (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x x) y) y) (.f64 y #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<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 #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<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 #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<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 #s(literal 4 binary64))) (patch #s(approx (+ (+ ( x x) y) y) (*.f64 y #s(literal 4 binary64))) #<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 (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x (+.f64 y y)) (patch (fma.f64 x x (+.f64 y y)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify105.0ms (3.9%)

Memory

-11.6MiB live, 135.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	504
1	56	504
2	133	504
3	432	504
4	1325	504
5	3257	504
6	6181	504
0	8062	450

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite42.0ms (1.6%)

Memory

16.4MiB live, 54.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	14	32
1	60	32
0	553	32

Stop Event

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

Counts

5 → 75

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval25.0ms (0.9%)

Memory: -20.3MiB live, 56.2MiB allocated
Compiler: Compiled 1 969 to 238 computations (87.9% saved)

prune6.0ms (0.2%)

Memory

23.9MiB live, 23.9MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	214	5	219

Accuracy

100.0%

Counts

219 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	60.2%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
✓	48.9%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
✓	10.4%	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
✓	53.1%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 71 to 43 computations (39.4% saved)

regimes19.0ms (0.7%)

Memory

-13.2MiB live, 31.5MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
4.0ms	y
3.0ms	x
3.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 12 to 12 computations (0% saved)

regimes14.0ms (0.5%)

Memory

-15.0MiB live, 23.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 12 computations (0% saved)

regimes10.0ms (0.4%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
90.7%	2	`x`
65.2%	3	`y`
85.3%	2	`(+.f64 (+.f64 (*.f64 x x) y) y)`
90.7%	2	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes4.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

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
89.4%	2	`x`
89.4%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes5.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.9%	1	`y`
48.9%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
48.9%	1	`x`
48.9%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch18.0ms (0.7%)

Memory

-27.9MiB live, 9.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.532702535568562e-54	1.8246350555313693e-48

Samples

4.0ms

144×

valid

Compiler

Compiled 82 to 100 computations (-22% saved)

Precisions

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

ival-add: 1.0ms (64.8% of total)

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

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

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.532702535568562e-54	1.8246350555313693e-48

Compiler

Compiled 64 to 91 computations (-42.2% saved)

simplify23.0ms (0.8%)

Memory

30.5MiB live, 30.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	20	79

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (+.f64 y y))
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 (.f64 x x) #s(literal 806297233087391/1645504557321206042154969182557350504982735865633579863348609024 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 806297233087391/1645504557321206042154969182557350504982735865633579863348609024 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))
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 (.f64 x x) #s(literal 806297233087391/1645504557321206042154969182557350504982735865633579863348609024 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 806297233087391/1645504557321206042154969182557350504982735865633579863348609024 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))

soundness654.0ms (24.5%)

Memory

-16.1MiB live, 424.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	63
0	23	63
1	74	63
2	566	63
0	8156	63
0	27	282
1	80	282
2	193	282
3	649	282
4	1930	282
5	3616	282
6	6722	282
0	8178	246
0	5	15
0	8	15
1	37	15
2	316	15
3	4987	15
0	8103	13

Stop Event

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

Compiler

Compiled 113 to 71 computations (37.2% saved)

preprocess40.0ms (1.5%)

Memory: 17.7MiB live, 93.1MiB allocated
Remove: (abs x)
Compiler: Compiled 132 to 58 computations (56.1% 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%)

sample535.0ms (20%)

explain66.0ms (2.5%)

preprocess27.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize19.0ms (0.7%)

series5.0ms (0.2%)

simplify95.0ms (3.5%)

rewrite268.0ms (10%)

eval35.0ms (1.3%)

prune10.0ms (0.4%)

simplify4.0ms (0.1%)

localize44.0ms (1.7%)

series8.0ms (0.3%)

simplify136.0ms (5.1%)

rewrite174.0ms (6.5%)

eval209.0ms (7.8%)

prune25.0ms (0.9%)

simplify4.0ms (0.1%)

localize28.0ms (1.1%)

series9.0ms (0.3%)

simplify105.0ms (3.9%)

rewrite42.0ms (1.6%)

eval25.0ms (0.9%)

prune6.0ms (0.2%)

regimes19.0ms (0.7%)

regimes14.0ms (0.5%)

regimes10.0ms (0.4%)

regimes4.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch18.0ms (0.7%)

bsearch1.0ms (0%)

simplify23.0ms (0.8%)

soundness654.0ms (24.5%)

preprocess40.0ms (1.5%)

end0.0ms (0%)

Profiling

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