Metrics for Data.Colour.CIE.Chromaticity:chromaCoords from colour-2.3.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 7 to 7 computations (0% saved)

sample493.0ms (14.1%)

Memory

22.8MiB live, 843.4MiB allocated

Samples

282.0ms	8 249×	0	valid
0.0ms	4×	1	valid
0.0ms	3×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-sub: 93.0ms (88% of total)

ival-true: 6.0ms (5.7% of total)

exact: 4.0ms (3.8% of total)

ival-assert: 3.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain172.0ms (4.9%)

Memory

20.2MiB live, 65.9MiB allocated

FPErrors

Click to see full error table

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

17.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 5.0ms (81.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess33.0ms (0.9%)

Memory

-1.5MiB live, 37.1MiB allocated

Algorithm

1×	egg-herbie

Rules

240×	`lower-fma.f64`
240×	`lower-fma.f32`
140×	`sub-neg`
96×	`lower-*.f64`
96×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	38	26
2	122	25
3	300	25
4	528	25
5	611	25
6	648	25
7	650	25
0	5	5
0	7	5
1	15	5
2	31	5
3	66	5
4	126	5
5	229	5
6	289	5
7	319	5
8	321	5
0	321	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (-.f64 #s(literal 1 binary64) x) y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify13.0ms (0.4%)

Memory

-18.4MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

240×	`lower-fma.f64`
240×	`lower-fma.f32`
96×	`lower-*.f64`
96×	`lower-+.f64`
96×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	15	11
2	31	11
3	66	11
4	126	11
5	229	11
6	289	11
7	319	11
8	321	11
0	321	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize12.0ms (0.3%)

Memory

19.6MiB live, 19.6MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

8.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 3.0ms (103.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

2 → 36

Calls

Call 1

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

Inputs

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

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

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

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	((- (- 1 x) y) (- 1 x))
0.0ms	y	@	-inf	((- (- 1 x) y) (- 1 x))
0.0ms	x	@	inf	((- (- 1 x) y) (- 1 x))
0.0ms	x	@	-inf	((- (- 1 x) y) (- 1 x))
0.0ms	y	@	0	((- (- 1 x) y) (- 1 x))

simplify173.0ms (4.9%)

Memory

-34.1MiB live, 70.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 240×	`lower-fma.f64`
3 240×	`lower-fma.f32`
2 044×	`div-sub`
1 884×	`lower-/.f32`
1 884×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	136
1	109	136
2	310	136
3	904	136
4	2756	136
5	4023	136
6	5322	136
7	5853	136
8	6219	136
9	6407	136
10	6889	136
11	6993	136
12	7751	136
0	8109	136

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

rewrite165.0ms (4.7%)

Memory

20.1MiB live, 250.7MiB allocated

Rules

7 126×	`lower-fma.f64`
7 126×	`lower-fma.f32`
4 118×	`lower-*.f64`
4 118×	`lower-*.f32`
1 990×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	40	8
2	323	8
3	4866	8
0	8759	8

Stop Event

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

Counts

2 → 275

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 y y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) y)))
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(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)

eval42.0ms (1.2%)

Memory: -15.0MiB live, 100.5MiB allocated
Compiler: Compiled 5 901 to 731 computations (87.6% saved)

prune39.0ms (1.1%)

Memory

-4.1MiB live, 119.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	306	5	311
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	307	5	312

Accuracy

100.0%

Counts

312 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.4%	(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
▶	65.7%	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
▶	57.8%	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
▶	42.9%	#s(approx (- (- 1 x) y) (neg.f64 y))
▶	36.4%	#s(approx (- (- 1 x) y) (neg.f64 x))

Compiler

Compiled 58 to 36 computations (37.9% saved)

simplify17.0ms (0.5%)

Memory

-1.0MiB live, 38.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

368×	`lower-fma.f64`
368×	`lower-fma.f32`
160×	`lower-*.f64`
160×	`lower-*.f32`
144×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
0	20	68
1	33	68
2	57	68
3	107	68
4	186	68
5	340	68
6	426	68
7	484	68
8	492	68
0	492	68

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.6%)

Memory

14.7MiB live, 53.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy	30.099163136667098	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	27.01573268527922	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
accuracy	0	(neg.f64 y)
accuracy	36.53611552604851	#s(approx (- (- 1 x) y) (neg.f64 y))
accuracy	0	(neg.f64 x)
accuracy	40.707459290573766	#s(approx (- (- 1 x) y) (neg.f64 x))
accuracy	0	(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
accuracy	0	(neg.f64 x)
accuracy	32.13411815386351	#s(approx (- 1 x) (neg.f64 x))

Samples

15.0ms

256×

valid

Compiler

Compiled 50 to 9 computations (82% saved)

Precisions

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

ival-sub: 3.0ms (57.8% of total)

ival-neg: 2.0ms (38.6% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

10 → 180

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((- (- 1 x) y) (- 1 x) (neg x) (- (- 1 x) y) (- (- 1 x) y) (neg y) (- (- 1 x) y) (- 1 x) (- (- 1 x) y) (- 1 x))
0.0ms	y	@	inf	((- (- 1 x) y) (- 1 x) (neg x) (- (- 1 x) y) (- (- 1 x) y) (neg y) (- (- 1 x) y) (- 1 x) (- (- 1 x) y) (- 1 x))
0.0ms	x	@	-inf	((- (- 1 x) y) (- 1 x) (neg x) (- (- 1 x) y) (- (- 1 x) y) (neg y) (- (- 1 x) y) (- 1 x) (- (- 1 x) y) (- 1 x))
0.0ms	y	@	-inf	((- (- 1 x) y) (- 1 x) (neg x) (- (- 1 x) y) (- (- 1 x) y) (neg y) (- (- 1 x) y) (- 1 x) (- (- 1 x) y) (- 1 x))
0.0ms	x	@	0	((- (- 1 x) y) (- 1 x) (neg x) (- (- 1 x) y) (- (- 1 x) y) (neg y) (- (- 1 x) y) (- 1 x) (- (- 1 x) y) (- 1 x))

simplify184.0ms (5.3%)

Memory

-28.1MiB live, 133.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 240×	`lower-fma.f64`
3 240×	`lower-fma.f32`
2 044×	`div-sub`
1 884×	`lower-/.f32`
1 884×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	664
1	109	664
2	310	664
3	904	664
4	2756	664
5	4023	664
6	5322	664
7	5853	664
8	6219	664
9	6407	664
10	6889	664
11	6993	664
12	7751	664
0	8109	664

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite182.0ms (5.2%)

Memory

7.5MiB live, 199.8MiB allocated

Rules

5 728×	`lower-fma.f64`
5 728×	`lower-fma.f32`
4 306×	`lower-*.f64`
4 306×	`lower-*.f32`
3 716×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
0	20	58
1	78	58
2	569	58
0	8204	58

Stop Event

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

Counts

10 → 319

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(approx (- 1 x) (neg.f64 x))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y)))
(.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y) #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y) (-.f64 (.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y))
(*.f64 (pow.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))))
(*.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) (/.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))))
(.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) (.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (pow.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (pow.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64))) (fma.f64 y y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 y #s(approx (- 1 x) (neg.f64 x))))) (.f64 (/.f64 (.f64 y y) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (.f64 y y) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))))) (+.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (*.f64 y y) (+.f64 y #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 (/.f64 (.f64 y y) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (.f64 y y) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (*.f64 y y) (+.f64 y #s(approx (- 1 x) (neg.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 (.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 4 binary64))) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 (.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 6 binary64))) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))))
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(fma.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) y #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))))
(fma.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (neg.f64 (*.f64 y (/.f64 y (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))))
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(fma.f64 y #s(literal -1 binary64) #s(approx (- 1 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (*.f64 y (/.f64 y (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(-.f64 (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
(+.f64 (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (neg.f64 (*.f64 y (/.f64 y (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))))
(+.f64 (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 y))
(+.f64 (neg.f64 y) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 0 binary64)))))
(+.f64 #s(literal 0 binary64) #s(approx (- 1 x) #s(literal 1 binary64)))
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 0 binary64))

eval60.0ms (1.7%)

Memory: 19.7MiB live, 139.6MiB allocated
Compiler: Compiled 7 771 to 786 computations (89.9% saved)

prune50.0ms (1.4%)

Memory

-23.1MiB live, 136.5MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	538	1	539
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	538	6	544

Accuracy

100.0%

Counts

544 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.4%	(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
✓	65.7%	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
✓	57.8%	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
✓	42.9%	#s(approx (- (- 1 x) y) (neg.f64 y))
✓	36.4%	#s(approx (- (- 1 x) y) (neg.f64 x))
▶	24.2%	#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 34 to 21 computations (38.2% saved)

simplify11.0ms (0.3%)

Memory

28.9MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

240×	`lower-fma.f64`
240×	`lower-fma.f32`
96×	`lower-*.f64`
96×	`lower-+.f64`
96×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	7	17
1	15	17
2	31	17
3	66	17
4	126	17
5	229	17
6	291	17
7	321	17
8	323	17
0	323	17

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

localize14.0ms (0.4%)

Memory

-9.3MiB live, 29.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	27.01573268527922	#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	30.099163136667098	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

10.0ms

256×

valid

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

ival-sub: 5.0ms (96.1% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

#s(alt #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())

#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((- (- 1 x) y) (- 1 x))
0.0ms	y	@	-inf	((- (- 1 x) y) (- 1 x))
0.0ms	y	@	inf	((- (- 1 x) y) (- 1 x))
0.0ms	x	@	-inf	((- (- 1 x) y) (- 1 x))
0.0ms	y	@	0	((- (- 1 x) y) (- 1 x))

simplify171.0ms (4.9%)

Memory

2.2MiB live, 120.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 240×	`lower-fma.f64`
3 240×	`lower-fma.f32`
2 044×	`div-sub`
1 884×	`lower-/.f32`
1 884×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	136
1	109	136
2	310	136
3	904	136
4	2756	136
5	4023	136
6	5322	136
7	5853	136
8	6219	136
9	6407	136
10	6889	136
11	6993	136
12	7751	136
0	8109	136

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

rewrite156.0ms (4.4%)

Memory

-5.2MiB live, 265.6MiB allocated

Rules

7 126×	`lower-fma.f64`
7 126×	`lower-fma.f32`
4 118×	`lower-*.f64`
4 118×	`lower-*.f32`
1 990×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
0	7	16
1	40	16
2	323	16
3	4880	16
0	8779	16

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

2 → 2

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 11.3MiB live, 11.4MiB allocated
Compiler: Compiled 192 to 8 computations (95.8% saved)

prune4.0ms (0.1%)

Memory

12.3MiB live, 12.2MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	38	6	44

Accuracy

100.0%

Counts

44 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.4%	(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
✓	65.7%	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
✓	57.8%	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
✓	42.9%	#s(approx (- (- 1 x) y) (neg.f64 y))
✓	36.4%	#s(approx (- (- 1 x) y) (neg.f64 x))
✓	24.2%	#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 63 to 30 computations (52.4% saved)

regimes13.0ms (0.4%)

Memory

0.0MiB live, 39.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(-.f64 #s(literal 1 binary64) x)
3.0ms	y
3.0ms	x
3.0ms	(-.f64 (-.f64 #s(literal 1 binary64) x) y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`
100.0%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes12.0ms (0.3%)

Memory

-5.0MiB live, 34.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(-.f64 #s(literal 1 binary64) x)
3.0ms	x
3.0ms	y
3.0ms	(-.f64 (-.f64 #s(literal 1 binary64) x) y)

Results

Accuracy	Segments	Branch
98.5%	2	`x`
99.3%	2	`y`
99.0%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`
98.5%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.3%)

Memory

-26.5MiB live, 18.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(-.f64 (-.f64 #s(literal 1 binary64) x) y)
2.0ms	y

Results

Accuracy	Segments	Branch
99.0%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`
92.8%	2	`y`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.2%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.8%	2	`x`
70.1%	2	`(-.f64 #s(literal 1 binary64) x)`
98.3%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes2.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
97.4%	3	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes7.0ms (0.2%)

Memory

-18.5MiB live, 21.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(-.f64 (-.f64 #s(literal 1 binary64) x) y)
2.0ms	y
1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
56.4%	2	`(-.f64 #s(literal 1 binary64) x)`
56.4%	2	`x`
45.3%	5	`y`
56.4%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
24.2%	1	`y`
24.2%	1	`(-.f64 #s(literal 1 binary64) x)`
24.2%	1	`x`
24.2%	1	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch9.0ms (0.2%)

Memory

-17.6MiB live, 21.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.3870845671296248	77.42086203643797

Samples

4.0ms

112×

valid

Compiler

Compiled 115 to 80 computations (30.4% saved)

Precisions

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

ival-sub: 2.0ms (110.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999886	1.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3609878921.529588	0.6129154328703752

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0009250403659802	124867.56566686365
0.0ms	-3609878921.529588	0.6129154328703752

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0009250403659802	124867.56566686365

Compiler

Compiled 10 to 10 computations (0% saved)

simplify68.0ms (1.9%)

Memory

-16.3MiB live, 115.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative-binary64-+.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`-commutative-binary64-.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	156
1	41	156
2	49	156
3	51	156

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 9007199254740889/9007199254740992 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -2000000000 binary64)) #s(approx (- (- 1 x) y) (neg.f64 y)) #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -2000000000 binary64)) #s(approx (- (- 1 x) y) (neg.f64 y)) (if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #s(approx (- (- 1 x) y) (neg.f64 x))))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #s(approx (- (- 1 x) y) (neg.f64 x)))
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 9007199254740889/9007199254740992 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -2000000000 binary64)) #s(approx (- (- 1 x) y) (neg.f64 y)) #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -2000000000 binary64)) #s(approx (- (- 1 x) y) (neg.f64 y)) (if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #s(approx (- (- 1 x) y) (neg.f64 x))))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #s(approx (- (- 1 x) y) (neg.f64 x)))
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))

soundness1.3s (36.7%)

Memory

-3.5MiB live, 314.4MiB allocated

Rules

3 240×	`lower-fma.f64`
3 240×	`lower-fma.f32`
3 240×	`lower-fma.f64`
3 240×	`lower-fma.f32`
2 044×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	136
1	109	136
2	310	136
3	904	136
4	2756	136
5	4023	136
6	5322	136
7	5853	136
8	6219	136
9	6407	136
10	6889	136
11	6993	136
12	7751	136
0	8109	136
0	37	664
1	109	664
2	310	664
3	904	664
4	2756	664
5	4023	664
6	5322	664
7	5853	664
8	6219	664
9	6407	664
10	6889	664
11	6993	664
12	7751	664
0	8109	664

Stop Event

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

Compiler

Compiled 162 to 74 computations (54.3% saved)

preprocess58.0ms (1.7%)

Memory: 21.8MiB live, 97.0MiB allocated
Remove: (sort x y)
Compiler: Compiled 228 to 72 computations (68.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	31
1	38	26
2	122	25
3	300	25
4	528	25
5	611	25
6	648	25
7	650	25
0	5	5
0	7	5
1	15	5
2	31	5
3	66	5
4	126	5
5	229	5
6	289	5
7	319	5
8	321	5
0	321	5

Iter	Nodes	Cost
0	15	68
0	20	68
1	33	68
2	57	68
3	107	68
4	186	68
5	340	68
6	426	68
7	484	68
8	492	68
0	492	68

Iter	Nodes	Cost
0	13	31
1	38	26
2	122	25
3	300	25
4	528	25
5	611	25
6	648	25
7	650	25
0	5	5
0	7	5
1	15	5
2	31	5
3	66	5
4	126	5
5	229	5
6	289	5
7	319	5
8	321	5
0	321	5

Iter	Nodes	Cost
0	15	68
0	20	68
1	33	68
2	57	68
3	107	68
4	186	68
5	340	68
6	426	68
7	484	68
8	492	68
0	492	68

start0.0ms (0%)

analyze0.0ms (0%)

sample493.0ms (14.1%)

explain172.0ms (4.9%)

preprocess33.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.4%)

localize12.0ms (0.3%)

series2.0ms (0.1%)

simplify173.0ms (4.9%)

rewrite165.0ms (4.7%)

eval42.0ms (1.2%)

prune39.0ms (1.1%)

simplify17.0ms (0.5%)

localize22.0ms (0.6%)

series5.0ms (0.2%)

simplify184.0ms (5.3%)

rewrite182.0ms (5.2%)

eval60.0ms (1.7%)

prune50.0ms (1.4%)

simplify11.0ms (0.3%)

localize14.0ms (0.4%)

series2.0ms (0%)

simplify171.0ms (4.9%)

rewrite156.0ms (4.4%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

regimes13.0ms (0.4%)

regimes12.0ms (0.3%)

regimes9.0ms (0.3%)

regimes7.0ms (0.2%)

regimes2.0ms (0.1%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch9.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify68.0ms (1.9%)

soundness1.3s (36.7%)

preprocess58.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	31
1	38	26
2	122	25
3	300	25
4	528	25
5	611	25
6	648	25
7	650	25
0	5	5
0	7	5
1	15	5
2	31	5
3	66	5
4	126	5
5	229	5
6	289	5
7	319	5
8	321	5
0	321	5

Iter	Nodes	Cost
0	15	68
0	20	68
1	33	68
2	57	68
3	107	68
4	186	68
5	340	68
6	426	68
7	484	68
8	492	68
0	492	68