Metrics for Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample676.0ms (10.6%)

Memory

6.2MiB live, 870.3MiB allocated

Samples

417.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-mult: 161.0ms (74.8% of total)

ival-sub: 41.0ms (19.1% of total)

ival-true: 6.0ms (2.8% of total)

exact: 4.0ms (1.9% of total)

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

Bogosity

explain69.0ms (1.1%)

Memory

20.8MiB live, 132.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x y))`
-	-	`#s(literal 1 binary64)`
-	-	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
-	-	`(*.f64 x y)`
-	-	`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

28.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 12.0ms (78.5% of total)

ival-sub: 2.0ms (13.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess71.0ms (1.1%)

Memory

-63.1MiB live, 23.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify13.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x y)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x y))
cost-diff	0	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize322.0ms (5.1%)

Memory

-3.7MiB live, 33.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy	0.0703125	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Samples

317.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-mult: 309.0ms (99.4% of total)

ival-sub: 1.0ms (0.3% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())

Inputs

#s(alt #<batchref> (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())

#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())

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

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* x (- 1 (* x y))) (- 1 (* x y)) (* x y))
1.0ms	x	@	0	((* x (- 1 (* x y))) (- 1 (* x y)) (* x y))
1.0ms	y	@	-inf	((* x (- 1 (* x y))) (- 1 (* x y)) (* x y))
1.0ms	y	@	inf	((* x (- 1 (* x y))) (- 1 (* x y)) (* x y))
1.0ms	y	@	0	((* x (- 1 (* x y))) (- 1 (* x y)) (* x y))

simplify146.0ms (2.3%)

Memory

-0.5MiB live, 151.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	368
1	108	332
2	189	332
3	512	332
4	2436	332
5	5893	332
0	8115	332

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

Outputs
x
(-.f64 x (.f64 (.f64 x x) y))
(-.f64 x (.f64 (.f64 x x) y))
(-.f64 x (.f64 (.f64 x x) y))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 (neg.f64 y) (.f64 x x))
(-.f64 x (.f64 (.f64 x x) y))
(-.f64 x (.f64 (.f64 x x) y))
(-.f64 x (.f64 (.f64 x x) y))
(*.f64 (neg.f64 y) x)
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 (neg.f64 y) (.f64 x x))
(-.f64 x (.f64 (.f64 x x) y))
(-.f64 x (.f64 (.f64 x x) y))
(-.f64 x (.f64 (.f64 x x) y))
(*.f64 (neg.f64 y) x)
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
x
(-.f64 x (.f64 (.f64 x x) y))
(-.f64 x (.f64 (.f64 x x) y))
(-.f64 x (.f64 (.f64 x x) y))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 (neg.f64 y) (.f64 x x))
(-.f64 x (.f64 (.f64 x x) y))
(-.f64 x (.f64 (.f64 x x) y))
(-.f64 x (.f64 (.f64 x x) y))
(*.f64 (neg.f64 y) x)
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(.f64 (neg.f64 y) (.f64 x x))
(-.f64 x (.f64 (.f64 x x) y))
(-.f64 x (.f64 (.f64 x x) y))
(-.f64 x (.f64 (.f64 x x) y))
(*.f64 (neg.f64 y) x)
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)

rewrite544.0ms (8.5%)

Memory

27.4MiB live, 246.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	31	15
2	190	15
3	1497	15
0	9602	13

Stop Event

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

Counts

3 → 614

Calls

Call 1

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

Outputs
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eval142.0ms (2.2%)

Memory: -18.1MiB live, 198.3MiB allocated
Compiler: Compiled 21 186 to 1 644 computations (92.2% saved)

prune21.0ms (0.3%)

Memory

-3.4MiB live, 71.0MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	676	8	684
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	676	9	685

Accuracy

100.0%

Counts

685 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
	79.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
▶	81.9%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
▶	59.1%	(.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
	67.2%	(.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 y y)) (/.f64 (.f64 x x) (fma.f64 y x #s(literal 1 binary64))))))
▶	54.6%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
▶	49.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
	49.3%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 271 to 182 computations (32.8% saved)

simplify134.0ms (2.1%)

Memory

11.5MiB live, 174.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
cost-diff	0	(.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
cost-diff	128	(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))))
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x)
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
cost-diff	0	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff	7232	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	286
0	56	286
1	109	286
2	248	283
3	815	283
4	2454	283
5	5524	279
0	8102	278

Stop Event

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

Calls

Call 1

Inputs
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
x
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 6 binary64))
(*.f64 y x)
y
#s(literal 6 binary64)
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
#s(literal 3 binary64)

Outputs
(neg.f64 (.f64 x (.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
y
x
#s(literal 2 binary64)
(/.f64 x (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 x y #s(literal 1 binary64))
(.f64 #s(approx (- 1 ( x y)) #s(literal 1 binary64)) x)
x
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)) x)
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(.f64 (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
y
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
(.f64 (/.f64 x (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))))
x
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 x y) #s(literal 6 binary64))
(*.f64 x y)
y
#s(literal 6 binary64)
(fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
#s(literal 3 binary64)

localize225.0ms (3.5%)

Memory

-17.5MiB live, 173.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.17903644999949575	(pow.f64 (*.f64 y x) #s(literal 6 binary64))
accuracy	0.21521381837909412	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy	19.191434344782092	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))
accuracy	24.059731897078795	(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
accuracy	0.11166000976844201	(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
accuracy	0.21521381837909412	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy	1.3968699676000815	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x)
accuracy	19.480877376005832	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.0703125	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
accuracy	29.61578527091323	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
accuracy	0.0703125	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
accuracy	32.97005919763284	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.19369125976844204	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	3.8085321958913805	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	7.289338268802406	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))

Samples

185.0ms

256×

valid

Compiler

Compiled 579 to 67 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 18.0ms (32.4% of total)

ival-mult: 16.0ms (28.8% of total)

ival-pow: 8.0ms (14.4% of total)

ival-sub: 6.0ms (10.8% of total)

ival-pow2: 3.0ms (5.4% of total)

ival-add: 2.0ms (3.6% of total)

ival-neg: 2.0ms (3.6% of total)

exact: 1.0ms (1.8% of total)

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

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

series107.0ms (1.7%)

Memory

-7.6MiB live, 116.6MiB allocated

Counts

21 → 492

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	((* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1)) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (pow (* y x) 6))
14.0ms	y	@	inf	((* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1)) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (pow (* y x) 6))
12.0ms	y	@	-inf	((* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1)) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (pow (* y x) 6))
8.0ms	x	@	-inf	((* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1)) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (pow (* y x) 6))
7.0ms	y	@	0	((* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* y x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg y) x) (neg y) (/ (* (- 1 (pow (* y x) 3)) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (* (- 1 (pow (* y x) 3)) x) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1)) (/ x (+ (* y x) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (pow (* y x) 6))

simplify200.0ms (3.1%)

Memory

19.4MiB live, 213.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	629	4966
1	2175	4164
2	7541	4115
0	8497	4070

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 478

Calls

Call 1

Inputs
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
x
(+ x (* -1 (* (pow x 4) (pow y 3))))
(+ x (* -1 (* (pow x 4) (pow y 3))))
(+ x (* -1 (* (pow x 4) (pow y 3))))
1
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
-1
(- (* x y) 1)
(- (* y (+ x (* y (+ (* -1 (pow x 2)) (pow x 2))))) 1)
(- (* y (+ x (* y (+ (* -1 (pow x 2)) (+ (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3)))) (pow x 2)))))) 1)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (+ (* -1 (* x (* y (+ (* -1 (pow x 2)) (pow x 2))))) (* -1 (pow x 2)))))
(+ x (* y (+ (* -1 (pow x 2)) (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (* y (- (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3)))) (* -1 (pow x 4))))))))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* y (+ (* -1 x) (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))))))
(+ 1 (* y (+ (* -1 x) (* y (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (* x (* y (+ (* -1 (pow x 2)) (pow x 2)))))))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* y (- (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))) x)))
(+ 1 (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (+ (* -1 (pow x 2)) (pow x 2)))) x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
1
(+ 1 (* x y))
(+ 1 (* y (+ x (* (pow x 2) y))))
(+ 1 (* y (+ x (* (pow x 2) y))))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 4) (pow y 3)))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(* (pow y 3) (+ (* -1 (pow x 4)) (/ x (pow y 3))))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (pow y 3))
(* (pow x 4) (pow y 4))
(* (pow y 4) (+ (* -1 (/ (pow x 3) y)) (pow x 4)))
(* (pow y 4) (- (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (pow x 4)) (/ (pow x 3) y)))
(* (pow y 4) (- (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow y 3))) (pow x 4)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) y)))))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow x 2))) (/ 1 x)) (pow y 3))) (+ (* -1 (pow x 2)) (/ x y))))
(* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) x)) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 2)))) (pow x 2))) (/ 1 (pow x 2))) (pow y 4))) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow x 2))) (/ 1 x)) (pow y 3))) (+ (* -1 (pow x 2)) (/ x y)))))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow x 3))) (/ 1 (pow x 2))) (pow y 3))) (/ 1 y))))
(* y (+ (* -1 x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) x)) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow x 2)))) (pow x 3))) (/ 1 (pow x 3))) (pow y 4))) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow x 3))) (/ 1 (pow x 2))) (pow y 3))) (/ 1 y)))))
(* -1 (* (pow x 4) (pow y 4)))
(* (pow y 4) (+ (* -1 (pow x 4)) (/ (pow x 3) y)))
(* (pow y 4) (- (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (* -1 (pow x 4))) (* -1 (/ (pow x 3) y))))
(* (pow y 4) (- (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) x))) (pow y 3))) (* -1 (pow x 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) y)) (/ (pow x 2) (pow y 2))))))
(/ 1 y)
(/ (- 1 (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* (pow x 6) (pow y 6))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow x 2) (pow y 2))
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(/ 1 y)
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(* (pow x 2) (pow y 2))
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(* (pow x 4) (+ (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)) (* -1 (pow y 3))) x)) (pow y 4)))
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(* -1 (* (pow x 2) y))
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(* (pow x 2) (+ (* -1 y) (* -1 (/ (- (+ (/ -1 (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 3) (pow y 3)))) 1) x))))
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(* -1 (* x (+ y (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow y 2)))) (* (pow x 5) (pow y 5)))) (+ (* -1 (/ (+ (* -1 y) (* 2 y)) (* (pow x 5) (pow y 6)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 y) (* 2 y)) (pow y 5))) (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow y 6))) (/ 1 (pow y 4)))) (pow x 4))) (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* (pow x 5) (pow y 7)))) (* 2 (/ 1 (* (pow x 5) (pow y 5))))))))) x)))))
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(/ 1 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
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(* (pow x 6) (pow y 6))
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Outputs
x
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
#s(literal 1 binary64)
(fma.f64 (.f64 (.f64 (neg.f64 x) y) x) y #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (neg.f64 x) y) x) y #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (neg.f64 x) y) x) y #s(literal 1 binary64))
(.f64 (.f64 (*.f64 x x) y) y)
(.f64 (.f64 (*.f64 x x) y) y)
(.f64 (.f64 (*.f64 x x) y) y)
(.f64 (.f64 (*.f64 x x) y) y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
x
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
x
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 x) y)
(neg.f64 y)
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(neg.f64 y)
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(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
x
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#s(literal 1 binary64)
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(fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
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(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1 binary64)
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x
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
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#s(literal -1 binary64)
(fma.f64 x y #s(literal -1 binary64))
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(fma.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) x) x y) x #s(literal -1 binary64))
x
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x y))
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x
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(.f64 (.f64 (*.f64 x x) y) y)
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(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))
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(fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
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(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))

rewrite241.0ms (3.8%)

Memory

-0.6MiB live, 271.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	222
0	56	217
1	230	217
2	1593	187
0	8240	187

Stop Event

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

Counts

21 → 1 038

Calls

Call 1

Inputs
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
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(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x)
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(pow.f64 (*.f64 y x) #s(literal 3 binary64))
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(.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 6 binary64))

Outputs
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eval309.0ms (4.8%)

Memory: 24.7MiB live, 520.6MiB allocated
Compiler: Compiled 57 195 to 4 427 computations (92.3% saved)

prune56.0ms (0.9%)

Memory

9.5MiB live, 164.6MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 869	6	1 875
Fresh	2	1	3
Picked	3	2	5
Done	0	1	1
Total	1 874	10	1 884

Accuracy

100.0%

Counts

1 884 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
▶	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x))
	69.7%	(.f64 (.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))
▶	36.8%	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
▶	99.8%	(.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
✓	54.6%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	49.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	49.3%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 324 to 205 computations (36.7% saved)

simplify182.0ms (2.8%)

Memory

-12.6MiB live, 211.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x)
cost-diff	128	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
cost-diff	1664	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x))
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	(.f64 (.f64 (neg.f64 x) y) x)
cost-diff	0	#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y))
cost-diff	0	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
cost-diff	0	(-.f64 y (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
cost-diff	0	(.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
cost-diff	832	(*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(.f64 (neg.f64 y) (.f64 x x))
cost-diff	0	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
cost-diff	128	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
cost-diff	960	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	257
0	64	252
1	131	242
2	291	234
3	823	234
4	2118	234
5	4569	234
6	7163	234
0	8047	229

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(neg.f64 x)
y
#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
(.f64 (neg.f64 y) (.f64 x x))
(neg.f64 y)
y
(*.f64 x x)
x
(.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
x
#s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
(*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(-.f64 y (/.f64 #s(literal 1 binary64) x))
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(neg.f64 x)
(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y))
(.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)
(.f64 (.f64 (neg.f64 x) y) x)
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(neg.f64 x)
x
y

Outputs
(*.f64 (fma.f64 y (neg.f64 x) #s(literal 1 binary64)) x)
x
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 y (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
y
#s(approx (* x (- 1 (* x y))) (.f64 (.f64 (neg.f64 y) x) x))
(.f64 (.f64 (neg.f64 y) x) x)
(neg.f64 y)
y
(*.f64 x x)
x
(.f64 #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (fma.f64 y (neg.f64 x) #s(literal 1 binary64))) x)
x
#s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (fma.f64 y (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 y (neg.f64 x) #s(literal 1 binary64))
(-.f64 y (/.f64 #s(literal 1 binary64) x))
y
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(neg.f64 x)
(.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #s(approx (- 1 (pow ( y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(.f64 (.f64 (neg.f64 y) x) x)
(*.f64 (neg.f64 y) x)
(neg.f64 x)
x
y
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fma.f64 y (neg.f64 x) #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
(fma.f64 y (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
x
y

localize199.0ms (3.1%)

Memory

6.0MiB live, 237.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.0703125	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x)
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x))
accuracy	0.19115953933073862	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
accuracy	3.8085321958913805	(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy	4.560056178054943	(.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)
accuracy	7.289338268802406	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy	29.522288346955392	#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y))
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
accuracy	0.0625	(*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
accuracy	0.0703125	(.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 y)
accuracy	6.179238835082689	(.f64 (neg.f64 y) (.f64 x x))
accuracy	29.02812738437424	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
accuracy	0	(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.07421875	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))))
accuracy	0.19115953933073862	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))

Samples

150.0ms

256×

valid

Compiler

Compiled 487 to 88 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-pow2: 33.0ms (29.7% of total)

ival-sub: 31.0ms (27.9% of total)

ival-mult: 18.0ms (16.2% of total)

ival-div: 12.0ms (10.8% of total)

ival-pow: 9.0ms (8.1% of total)

ival-add: 4.0ms (3.6% of total)

ival-neg: 3.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series106.0ms (1.7%)

Memory

-0.3MiB live, 79.8MiB allocated

Counts

20 → 444

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (neg.f64 y) (.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (neg.f64 x) y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (neg.f64 y) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (neg.f64 y) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (neg.f64 y) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (neg.f64 y) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 (neg.f64 x) y) x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	y	@	inf	((/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (* (- y (/ 1 x)) (neg x)) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (- y (/ 1 x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg x) y) x) (* (neg x) y) (/ 1 (/ (/ 1 (+ (* (neg x) y) 1)) x)) (/ (/ 1 (+ (* (neg x) y) 1)) x) (/ x (+ (* y x) 1)) (* (* (* (neg x) y) x) y))
8.0ms	y	@	0	((/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (* (- y (/ 1 x)) (neg x)) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (- y (/ 1 x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg x) y) x) (* (neg x) y) (/ 1 (/ (/ 1 (+ (* (neg x) y) 1)) x)) (/ (/ 1 (+ (* (neg x) y) 1)) x) (/ x (+ (* y x) 1)) (* (* (* (neg x) y) x) y))
4.0ms	x	@	-inf	((/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (* (- y (/ 1 x)) (neg x)) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (- y (/ 1 x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg x) y) x) (* (neg x) y) (/ 1 (/ (/ 1 (+ (* (neg x) y) 1)) x)) (/ (/ 1 (+ (* (neg x) y) 1)) x) (/ x (+ (* y x) 1)) (* (* (* (neg x) y) x) y))
3.0ms	y	@	-inf	((/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (* (- y (/ 1 x)) (neg x)) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (- y (/ 1 x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg x) y) x) (* (neg x) y) (/ 1 (/ (/ 1 (+ (* (neg x) y) 1)) x)) (/ (/ 1 (+ (* (neg x) y) 1)) x) (/ x (+ (* y x) 1)) (* (* (* (neg x) y) x) y))
3.0ms	x	@	inf	((/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (+ (* (neg x) y) 1) (neg x) (* x (- 1 (* x y))) (* (neg y) (* x x)) (neg y) (* x x) (* (- y (/ 1 x)) (neg x)) (* x (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3)))) (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (- y (/ 1 x)) (* (- 1 (pow (* y x) 2)) (/ x (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (* (* (neg x) y) x) (* (neg x) y) (/ 1 (/ (/ 1 (+ (* (neg x) y) 1)) x)) (/ (/ 1 (+ (* (neg x) y) 1)) x) (/ x (+ (* y x) 1)) (* (* (* (neg x) y) x) y))

simplify141.0ms (2.2%)

Memory

19.1MiB live, 202.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	4280
1	1597	3802
2	5357	3617
0	8978	3574

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 428

Calls

Call 1

Inputs
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* x y))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (+ (* -1 (* x (* y (+ (* -1 (pow x 2)) (pow x 2))))) (* -1 (pow x 2)))))
(+ x (* y (+ (* -1 (pow x 2)) (* y (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (* y (- (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3)))) (* -1 (pow x 4))))))))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* y (+ (* -1 x) (* -1 (* y (+ (* -1 (pow x 2)) (pow x 2)))))))
(+ 1 (* y (+ (* -1 x) (* y (+ (* -1 (+ (* -1 (pow x 2)) (pow x 2))) (* x (* y (+ (* -1 (pow x 2)) (pow x 2)))))))))
(/ -1 x)
(- y (/ 1 x))
(- y (/ 1 x))
(- y (/ 1 x))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(/ 1 x)
(+ y (/ 1 x))
(+ (* y (+ 1 (* x y))) (/ 1 x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
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(* -1 (* x (+ y (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow y 2)))) (* (pow x 5) (pow y 5)))) (+ (* -1 (/ (+ (* -1 y) (* 2 y)) (* (pow x 5) (pow y 6)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 y) (* 2 y)) (pow y 5))) (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow y 6))) (/ 1 (pow y 4)))) (pow x 4))) (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (* (pow x 5) (pow y 7)))) (* 2 (/ 1 (* (pow x 5) (pow y 5))))))))) x)))))
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Outputs
x
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) y x) y #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (*.f64 x x)) y x) y #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
x
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(.f64 (.f64 (neg.f64 x) x) y)
(.f64 (.f64 (neg.f64 x) x) y)
(.f64 (.f64 (neg.f64 x) x) y)
(.f64 (.f64 (neg.f64 x) x) y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
#s(literal 1 binary64)
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
x
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y
(-.f64 y (/.f64 #s(literal 1 binary64) x))
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(.f64 (.f64 (neg.f64 y) x) (*.f64 y x))
(.f64 (.f64 (neg.f64 y) x) (*.f64 y x))
(.f64 (.f64 (neg.f64 y) x) (*.f64 y x))
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(.f64 (.f64 (neg.f64 x) x) y)
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(*.f64 (neg.f64 y) x)
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
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y
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(.f64 (.f64 (neg.f64 y) x) (*.f64 y x))
(.f64 (.f64 (neg.f64 y) x) (*.f64 y x))
(.f64 (.f64 (neg.f64 y) x) (*.f64 y x))
(.f64 (.f64 (neg.f64 y) x) (*.f64 y x))

rewrite171.0ms (2.7%)

Memory

1.3MiB live, 244.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	218
0	64	216
1	283	206
2	1943	184
0	8634	182

Stop Event

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

Counts

20 → 771

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(neg.f64 x)
#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
(.f64 (neg.f64 y) (.f64 x x))
(neg.f64 y)
(*.f64 x x)
(*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
#s(approx (/ (neg (/ (- 1 (pow (* y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
(-.f64 y (/.f64 #s(literal 1 binary64) x))
(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
#s(approx (- 1 (pow (* y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y))
(.f64 (.f64 (neg.f64 x) y) x)
(*.f64 (neg.f64 x) y)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)

Outputs
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eval230.0ms (3.6%)

Memory: 11.2MiB live, 553.8MiB allocated
Compiler: Compiled 36 682 to 3 055 computations (91.7% saved)

prune106.0ms (1.7%)

Memory

7.2MiB live, 161.2MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 494	4	1 498
Fresh	0	2	2
Picked	4	1	5
Done	0	3	3
Total	1 498	10	1 508

Accuracy

100.0%

Counts

1 508 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
▶	99.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
▶	54.5%	(/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
▶	99.9%	(+.f64 (.f64 (.f64 (neg.f64 y) x) x) x)
	69.7%	(.f64 (.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	54.6%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	49.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	49.3%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 230 to 149 computations (35.2% saved)

simplify511.0ms (8%)

Memory

2.0MiB live, 492.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (*.f64 x x)))
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
cost-diff	640	(.f64 (.f64 (.f64 x y) (.f64 y y)) (*.f64 x x))
cost-diff	0	(fma.f64 y x #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x)
cost-diff	1664	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
cost-diff	0	#s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
cost-diff	0	(fma.f64 y x #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
cost-diff	960	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) x)
cost-diff	0	(.f64 (.f64 (neg.f64 y) x) x)
cost-diff	128	(+.f64 (.f64 (.f64 (neg.f64 y) x) x) x)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	215
0	56	213
1	109	198
2	251	182
3	633	180
4	1235	180
5	2486	180
6	4911	180
7	6327	180
8	6660	180
9	6740	180
10	6777	180
11	6821	180
12	7194	180
13	7323	180
14	7463	180
15	7701	180
16	7701	180
17	7702	180
0	8931	180

Stop Event

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

Calls

Call 1

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

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

localize125.0ms (2%)

Memory

-12.0MiB live, 181.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.1144037559010056	(.f64 (.f64 x y) (*.f64 y y))
accuracy	1.3968699676000815	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x)
accuracy	10.918139110788047	(.f64 (.f64 (.f64 x y) (.f64 y y)) (*.f64 x x))
accuracy	19.480877376005832	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
accuracy	0	(fma.f64 y x #s(literal -1 binary64))
accuracy	0.0703125	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x)
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
accuracy	0.19115953933073862	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.07421875	(/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
accuracy	0.1484375	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy	29.80792614424211	#s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
accuracy	0	(fma.f64 y x #s(literal -1 binary64))
accuracy	0.07421875	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
accuracy	0.19115953933073862	(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(+.f64 (.f64 (.f64 (neg.f64 y) x) x) x)
accuracy	0.09765625	(.f64 (.f64 (neg.f64 y) x) x)

Samples

99.0ms

256×

valid

Compiler

Compiled 432 to 67 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-div: 30.0ms (37.4% of total)

ival-add: 30.0ms (37.4% of total)

ival-mult: 16.0ms (19.9% of total)

ival-neg: 2.0ms (2.5% of total)

ival-sub: 1.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.6%)

Memory

10.9MiB live, 93.0MiB allocated

Counts

19 → 432

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f64 (.f64 (.f64 (neg.f64 y) x) x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (neg.f64 y) x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())
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Outputs
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((+ (* (* (neg y) x) x) x) (* (* (neg y) x) x) (* (neg y) x) (neg y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (/ (/ -1 x) y) (/ -1 x) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (/ (/ -1 (+ (* y x) -1)) x) (* (* (* x y) (* y y)) (* x x)) (/ (* (- 1 (* (* (* x y) (* y y)) (* x x))) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (- 1 (* (* (* x y) (* y y)) (* x x))) (* x y) (* (- 1 (* (* (* x y) (* y y)) (* x x))) x) (* (* x y) (* y y)))
4.0ms	x	@	-inf	((+ (* (* (neg y) x) x) x) (* (* (neg y) x) x) (* (neg y) x) (neg y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (/ (/ -1 x) y) (/ -1 x) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (/ (/ -1 (+ (* y x) -1)) x) (* (* (* x y) (* y y)) (* x x)) (/ (* (- 1 (* (* (* x y) (* y y)) (* x x))) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (- 1 (* (* (* x y) (* y y)) (* x x))) (* x y) (* (- 1 (* (* (* x y) (* y y)) (* x x))) x) (* (* x y) (* y y)))
4.0ms	x	@	inf	((+ (* (* (neg y) x) x) x) (* (* (neg y) x) x) (* (neg y) x) (neg y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (/ (/ -1 x) y) (/ -1 x) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (/ (/ -1 (+ (* y x) -1)) x) (* (* (* x y) (* y y)) (* x x)) (/ (* (- 1 (* (* (* x y) (* y y)) (* x x))) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (- 1 (* (* (* x y) (* y y)) (* x x))) (* x y) (* (- 1 (* (* (* x y) (* y y)) (* x x))) x) (* (* x y) (* y y)))
3.0ms	y	@	inf	((+ (* (* (neg y) x) x) x) (* (* (neg y) x) x) (* (neg y) x) (neg y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (/ (/ -1 x) y) (/ -1 x) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (/ (/ -1 (+ (* y x) -1)) x) (* (* (* x y) (* y y)) (* x x)) (/ (* (- 1 (* (* (* x y) (* y y)) (* x x))) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (- 1 (* (* (* x y) (* y y)) (* x x))) (* x y) (* (- 1 (* (* (* x y) (* y y)) (* x x))) x) (* (* x y) (* y y)))
3.0ms	y	@	0	((+ (* (* (neg y) x) x) x) (* (* (neg y) x) x) (* (neg y) x) (neg y) (/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ 1 (+ (* (neg x) y) 1))) (/ 1 (+ (* (neg x) y) 1)) (/ (/ -1 x) y) (/ -1 x) (/ 1 (/ (/ -1 (+ (* y x) -1)) x)) (/ (/ -1 (+ (* y x) -1)) x) (* (* (* x y) (* y y)) (* x x)) (/ (* (- 1 (* (* (* x y) (* y y)) (* x x))) x) (+ (* (+ (* y x) 1) (* y x)) 1)) (- 1 (* (* (* x y) (* y y)) (* x x))) (* x y) (* (- 1 (* (* (* x y) (* y y)) (* x x))) x) (* (* x y) (* y y)))

simplify184.0ms (2.9%)

Memory

-17.0MiB live, 176.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	3334
1	682	3176
2	1842	3141
3	6787	3140
0	8162	3087

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 420

Calls

Call 1

Inputs
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
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Outputs
x
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(.f64 (.f64 (neg.f64 x) x) y)
(.f64 (.f64 (neg.f64 x) x) y)
(.f64 (.f64 (neg.f64 x) x) y)
(.f64 (.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 x) y)
(neg.f64 y)
(neg.f64 y)
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(neg.f64 y)
x
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(fma.f64 x y #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 (fma.f64 x y #s(literal 1 binary64)) x)) y x) y #s(literal 1 binary64))
#s(literal -1 binary64)
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(fma.f64 x y #s(literal -1 binary64))
(fma.f64 x y #s(literal -1 binary64))
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(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(fma.f64 x y #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 (fma.f64 x y #s(literal 1 binary64)) x)) y x) y #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
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(/.f64 (/.f64 #s(literal -1 binary64) y) x)
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(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) y)
(fma.f64 (fma.f64 x y #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) x) y #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
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(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x y)
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(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)
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(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
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(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x y)
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rewrite237.0ms (3.7%)

Memory

10.4MiB live, 265.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	168
0	56	149
1	226	121
2	1572	117
0	8942	116

Stop Event

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

Counts

19 → 1 626

Calls

Call 1

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

Outputs
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eval347.0ms (5.4%)

Memory: 31.7MiB live, 674.1MiB allocated
Compiler: Compiled 51 892 to 3 436 computations (93.4% saved)

prune53.0ms (0.8%)

Memory

13.8MiB live, 208.5MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	2 266	4	2 270
Fresh	0	1	1
Picked	2	3	5
Done	0	4	4
Total	2 268	12	2 280

Accuracy

100.0%

Counts

2 280 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
✓	99.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
	54.5%	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 x y))))
✓	54.5%	(/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
	54.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 x y))) x))
	99.9%	(-.f64 x (.f64 (.f64 x y) x))
	99.9%	(+.f64 (*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x) x)
	69.7%	(.f64 (.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))
✓	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	54.6%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
✓	49.0%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	49.3%	#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Compiler

Compiled 521 to 230 computations (55.9% saved)

regimes29.0ms (0.5%)

Memory

-22.2MiB live, 92.8MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(-.f64 x (.f64 (.f64 x y) x))
(+.f64 (.f64 (.f64 (neg.f64 y) x) x) x)
(.f64 x #s(approx (/ (neg (/ (- 1 (pow ( y x) 6)) (+ (* (+ (* y x) 1) (* y x)) 1))) (- -1 (pow (* y x) 3))) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 x y))))
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* (neg x) y) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 x y))) x))
(.f64 #s(approx (- 1 (pow ( y x) 2)) (.f64 (.f64 (*.f64 (neg.f64 x) y) x) y)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal 1 binary64))) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 y y)) (.f64 x x))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x y) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 y y)) (/.f64 (.f64 x x) (fma.f64 y x #s(literal 1 binary64))))))
(.f64 x (/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (.f64 y x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))

Outputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Calls

3 calls:

12.0ms	x
8.0ms	y
8.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))

Outputs
(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
79.1%	3	`x`
79.3%	3	`y`
85.2%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Outputs
#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
82.9%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.1%)

Memory

-23.3MiB live, 13.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Calls

3 calls:

4.0ms	y
1.0ms	x
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
49.0%	1	`x`
49.0%	1	`y`
49.0%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.130315548064052e+31	2.2194165413235964e+36
0.0ms	-1.5833466300287393e+152	-1.761261210138513e+147

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.957699904125993e+142	2.0771889211153715e+173
0.0ms	-1.5833466300287393e+152	-1.761261210138513e+147

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify25.0ms (0.4%)

Memory

22.4MiB live, 100.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	126
1	49	126
2	63	126
3	76	126
4	81	126
5	82	126

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (.f64 x #s(approx (- 1 ( x y)) (.f64 (neg.f64 y) x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 100000000000000005366162204393472 binary64)) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)))))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* x y))) (.f64 (neg.f64 y) (.f64 x x)))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x)
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x) #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (.f64 #s(approx (- 1 ( x y)) (.f64 (neg.f64 y) x)) x) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x) #s(literal 100000000000000005366162204393472 binary64)) (.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) (.f64 #s(approx (- 1 ( x y)) (*.f64 (neg.f64 y) x)) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x) #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) #s(approx (* x (- 1 (* x y))) (.f64 (.f64 (neg.f64 x) x) y)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y x)) x) #s(literal 100000000000000002374543235865110535740865792782868218747346498867023742954202057256817762821608329412934596913384011607579341316989008157343744 binary64)) (.f64 #s(approx (- 1 ( x y)) #s(literal 1 binary64)) x) #s(approx (* x (- 1 (* x y))) (.f64 (.f64 (neg.f64 x) x) y))))
(.f64 #s(approx (- 1 ( x y)) #s(literal 1 binary64)) x)

soundness364.0ms (5.7%)

Memory

-59.8MiB live, 174.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	368
1	108	332
2	189	332
3	512	332
4	2436	332
5	5893	332
0	8115	332

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 147 to 52 computations (64.6% saved)

preprocess31.0ms (0.5%)

Memory: 33.1MiB live, 69.5MiB allocated
Compiler: Compiled 266 to 72 computations (72.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

start0.0ms (0%)

analyze0.0ms (0%)

sample676.0ms (10.6%)

explain69.0ms (1.1%)

preprocess71.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify13.0ms (0.2%)

localize322.0ms (5.1%)

series7.0ms (0.1%)

simplify146.0ms (2.3%)

rewrite544.0ms (8.5%)

eval142.0ms (2.2%)

prune21.0ms (0.3%)

simplify134.0ms (2.1%)

localize225.0ms (3.5%)

series107.0ms (1.7%)

simplify200.0ms (3.1%)

rewrite241.0ms (3.8%)

eval309.0ms (4.8%)

prune56.0ms (0.9%)

simplify182.0ms (2.8%)

localize199.0ms (3.1%)

series106.0ms (1.7%)

simplify141.0ms (2.2%)

rewrite171.0ms (2.7%)

eval230.0ms (3.6%)

prune106.0ms (1.7%)

simplify511.0ms (8%)

localize125.0ms (2%)

series41.0ms (0.6%)

simplify184.0ms (2.9%)

rewrite237.0ms (3.7%)

eval347.0ms (5.4%)

prune53.0ms (0.8%)

regimes29.0ms (0.5%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify25.0ms (0.4%)

soundness364.0ms (5.7%)

preprocess31.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18