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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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)

sample990.0ms (23.6%)

Memory

-95.2MiB live, 520.0MiB allocated

Samples

663.0ms	8 252×	0	valid
0.0ms	3×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-sub: 87.0ms (87.1% of total)

ival-true: 5.0ms (5% of total)

exact: 4.0ms (4% of total)

ival-assert: 3.0ms (3% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain125.0ms (3%)

Memory

0.5MiB live, 78.9MiB 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

57.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

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

ival-sub: 5.0ms (88% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

preprocess40.0ms (1%)

Memory

19.5MiB live, 58.5MiB 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 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify42.0ms (1%)

Memory

-28.9MiB live, 13.5MiB 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

localize11.0ms (0.3%)

Memory

16.1MiB live, 16.1MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

7.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-sub: 2.0ms (76.3% of total)

adjust: 0.0ms (0% 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

2.7MiB live, 2.7MiB 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	x	@	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	@	0	((- (- 1 x) y) (- 1 x))

simplify174.0ms (4.1%)

Memory

-6.5MiB live, 66.8MiB 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)

rewrite211.0ms (5%)

Memory

-7.8MiB live, 190.1MiB 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
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eval76.0ms (1.8%)

Memory: 8.9MiB live, 59.8MiB allocated
Compiler: Compiled 5 899 to 742 computations (87.4% saved)

prune17.0ms (0.4%)

Memory

-19.0MiB live, 20.1MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	306	5	311
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	306	6	312

Accuracy

100.0%

Counts

312 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (-.f64 #s(literal 1 binary64) x) y)
▶	77.1%	(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
▶	60.8%	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
▶	62.0%	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
▶	38.1%	#s(approx (- (- 1 x) y) (neg.f64 y))
▶	40.6%	#s(approx (- (- 1 x) y) (neg.f64 x))

Compiler

Compiled 43 to 51 computations (-18.6% saved)

simplify17.0ms (0.4%)

Memory

15.5MiB live, 15.5MiB 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

localize20.0ms (0.5%)

Memory

18.8MiB live, 18.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy	33.92658104355525	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	24.350152385630228	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
accuracy	0	(neg.f64 y)
accuracy	39.62225534930717	#s(approx (- (- 1 x) y) (neg.f64 y))
accuracy	0	(neg.f64 x)
accuracy	37.99529518384618	#s(approx (- (- 1 x) y) (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	0.00390625	(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
accuracy	28.446205920982205	#s(approx (- 1 x) (neg.f64 x))

Samples

13.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 50 to 9 computations (82% saved)

Precisions

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

ival-sub: 2.0ms (41.8% of total)

ival-neg: 2.0ms (41.8% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB 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>) () ())) ())
#s(alt (* -1 y) (taylor inf 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 (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf 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 (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf 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 (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf 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 (* -1 (* y (+ 1 (* -1 (/ (- 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 (+ 1 (* -1 (/ (- 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 (+ 1 (* -1 (/ (- 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 (* -1 (* y (+ 1 (* -1 (/ (- 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 (+ 1 (* -1 (/ (- 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 (+ 1 (* -1 (/ (- 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 (* -1 (* y (+ 1 (* -1 (/ (- 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 (+ 1 (* -1 (/ (- 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 (+ 1 (* -1 (/ (- 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>) () ())) ())
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#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	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	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	y	@	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))

simplify312.0ms (7.4%)

Memory

-28.2MiB live, 90.0MiB 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)

rewrite157.0ms (3.7%)

Memory

26.5MiB live, 133.5MiB 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
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eval119.0ms (2.8%)

Memory: 0.5MiB live, 122.5MiB allocated
Compiler: Compiled 7 769 to 984 computations (87.3% saved)

prune15.0ms (0.4%)

Memory

-25.7MiB live, 60.4MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	538	1	539
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	538	7	545

Accuracy

100.0%

Counts

545 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	77.1%	(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
✓	60.8%	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
✓	62.0%	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
✓	38.1%	#s(approx (- (- 1 x) y) (neg.f64 y))
✓	40.6%	#s(approx (- (- 1 x) y) (neg.f64 x))
▶	23.9%	#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 27 to 33 computations (-22.2% saved)

simplify12.0ms (0.3%)

Memory

25.7MiB live, 25.7MiB 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)

localize13.0ms (0.3%)

Memory

-12.0MiB live, 27.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	24.350152385630228	#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	33.92658104355525	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

9.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

ival-sub: 3.0ms (77.7% of total)

adjust: 0.0ms (0% 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

3.6MiB live, 3.6MiB 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	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	@	-inf	((- (- 1 x) y) (- 1 x))
0.0ms	y	@	0	((- (- 1 x) y) (- 1 x))

simplify183.0ms (4.4%)

Memory

-16.4MiB live, 110.6MiB 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)

rewrite201.0ms (4.8%)

Memory

32.6MiB live, 184.6MiB 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
#<batchref>
#<batchref>

eval8.0ms (0.2%)

Memory: -26.7MiB live, 9.5MiB allocated
Compiler: Compiled 190 to 19 computations (90% saved)

prune4.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	38	7	45

Accuracy

100.0%

Counts

45 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	77.1%	(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
✓	60.8%	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
✓	62.0%	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
✓	38.1%	#s(approx (- (- 1 x) y) (neg.f64 y))
✓	40.6%	#s(approx (- (- 1 x) y) (neg.f64 x))
✓	23.9%	#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 54 to 48 computations (11.1% saved)

regimes14.0ms (0.3%)

Memory

-10.1MiB live, 27.6MiB 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:

6.0ms	x
3.0ms	y
3.0ms	(-.f64 (-.f64 #s(literal 1 binary64) x) y)
3.0ms	(-.f64 #s(literal 1 binary64) x)

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 10 to 13 computations (-30% saved)

regimes11.0ms (0.3%)

Memory

25.6MiB live, 25.6MiB 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	x
3.0ms	y
3.0ms	(-.f64 (-.f64 #s(literal 1 binary64) x) y)
2.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
98.3%	2	`x`
98.9%	2	`y`
98.6%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`
98.3%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes8.0ms (0.2%)

Memory

-23.5MiB live, 12.9MiB 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:

5.0ms	(-.f64 (-.f64 #s(literal 1 binary64) x) y)
2.0ms	y

Results

Accuracy	Segments	Branch
98.6%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`
91.8%	2	`y`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes7.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB 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
76.2%	2	`x`
70.0%	2	`(-.f64 #s(literal 1 binary64) x)`
97.6%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes2.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB 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
96.4%	3	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes12.0ms (0.3%)

Memory

-32.1MiB live, 16.8MiB 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:

7.0ms	x
2.0ms	y
2.0ms	(-.f64 (-.f64 #s(literal 1 binary64) x) y)
1.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
60.3%	2	`(-.f64 #s(literal 1 binary64) x)`
60.3%	2	`x`
44.7%	3	`y`
60.3%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes5.0ms (0.1%)

Memory

12.2MiB live, 12.3MiB 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	x
1.0ms	y
1.0ms	(-.f64 (-.f64 #s(literal 1 binary64) x) y)
1.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
23.9%	1	`y`
23.9%	1	`(-.f64 #s(literal 1 binary64) x)`
23.9%	1	`x`
23.9%	1	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch13.0ms (0.3%)

Memory

-13.8MiB live, 24.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.2835769435739213e-6	5.004413918965051

Samples

4.0ms	141×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 89 to 118 computations (-32.6% saved)

Precisions

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

ival-sub: 1.0ms (58.9% of total)

adjust: 0.0ms (0% 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

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999933659599	1.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.004413918965051	0.9999999933659599

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000001054177137	14.83870583734105
0.0ms	-4.004413918965051	0.9999999933659599

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000001054177137	14.83870583734105

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify24.0ms (0.6%)

Memory

27.1MiB live, 66.0MiB 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 9007199194986871/9007199254740992 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 -4 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 -4 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 9007199194986871/9007199254740992 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 -4 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 -4 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 (30.4%)

Memory

-9.0MiB live, 345.3MiB 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 130 to 83 computations (36.2% saved)

preprocess65.0ms (1.6%)

Memory: 3.2MiB live, 89.4MiB allocated
Remove: (sort x y)
Compiler: Compiled 212 to 84 computations (60.4% 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%)

sample990.0ms (23.6%)

explain125.0ms (3%)

preprocess40.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify42.0ms (1%)

localize11.0ms (0.3%)

series2.0ms (0%)

simplify174.0ms (4.1%)

rewrite211.0ms (5%)

eval76.0ms (1.8%)

prune17.0ms (0.4%)

simplify17.0ms (0.4%)

localize20.0ms (0.5%)

series5.0ms (0.1%)

simplify312.0ms (7.4%)

rewrite157.0ms (3.7%)

eval119.0ms (2.8%)

prune15.0ms (0.4%)

simplify12.0ms (0.3%)

localize13.0ms (0.3%)

series2.0ms (0%)

simplify183.0ms (4.4%)

rewrite201.0ms (4.8%)

eval8.0ms (0.2%)

prune4.0ms (0.1%)

regimes14.0ms (0.3%)

regimes11.0ms (0.3%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

regimes2.0ms (0.1%)

regimes12.0ms (0.3%)

regimes5.0ms (0.1%)

bsearch13.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify24.0ms (0.6%)

soundness1.3s (30.4%)

preprocess65.0ms (1.6%)

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