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

0.3MiB live, 0.3MiB 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)

sample995.0ms (23.4%)

Memory

-13.0MiB live, 461.4MiB allocated

Samples

693.0ms	8 249×	0	valid
0.0ms	3×	2	valid
0.0ms	4×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 406.0ms

ival-sub: 391.0ms (96.3% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain63.0ms (1.5%)

Memory

-2.7MiB live, 153.3MiB 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

22.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 9.0ms (92.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess34.0ms (0.8%)

Memory

18.6MiB live, 56.8MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify13.0ms (0.3%)

Memory

-19.3MiB live, 19.9MiB 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

localize27.0ms (0.6%)

Memory

-26.8MiB live, 32.9MiB 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: 2.0ms (70.4% 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

3.9MiB live, 3.8MiB 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))

simplify304.0ms (7.2%)

Memory

11.0MiB live, 128.3MiB 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)

rewrite182.0ms (4.3%)

Memory

-5.2MiB live, 230.7MiB 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
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eval39.0ms (0.9%)

Memory: 11.2MiB live, 83.2MiB allocated
Compiler: Compiled 5 899 to 742 computations (87.4% saved)

prune7.0ms (0.2%)

Memory

28.0MiB live, 28.0MiB 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
▶	78.0%	(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
▶	61.6%	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
▶	60.7%	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
▶	39.0%	#s(approx (- (- 1 x) y) (neg.f64 y))
▶	40.7%	#s(approx (- (- 1 x) y) (neg.f64 x))

Compiler

Compiled 38 to 46 computations (-21.1% saved)

simplify18.0ms (0.4%)

Memory

-24.9MiB live, 26.2MiB 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

localize26.0ms (0.6%)

Memory

9.8MiB live, 46.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy	33.710328843873874	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	25.147505196068142	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
accuracy	0	(neg.f64 y)
accuracy	39.067254459789275	#s(approx (- (- 1 x) y) (neg.f64 y))
accuracy	0	(neg.f64 x)
accuracy	37.92667228573075	#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	28.178982713994635	#s(approx (- 1 x) (neg.f64 x))

Samples

16.0ms

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 (59.7% of total)

ival-neg: 2.0ms (39.8% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

-25.5MiB live, 11.8MiB 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>) () ())) ())
#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	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))

simplify199.0ms (4.7%)

Memory

22.1MiB live, 172.8MiB 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	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)

rewrite126.0ms (3%)

Memory

0.6MiB live, 202.6MiB 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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eval219.0ms (5.1%)

Memory: 2.3MiB live, 121.7MiB allocated
Compiler: Compiled 7 769 to 984 computations (87.3% saved)

prune21.0ms (0.5%)

Memory

-5.6MiB live, 33.4MiB 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
✓	78.0%	(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
✓	61.6%	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
✓	60.7%	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
✓	39.0%	#s(approx (- (- 1 x) y) (neg.f64 y))
✓	40.7%	#s(approx (- (- 1 x) y) (neg.f64 x))
▶	23.3%	#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 22 to 28 computations (-27.3% saved)

simplify11.0ms (0.3%)

Memory

18.2MiB live, 18.2MiB 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)

localize15.0ms (0.4%)

Memory

-25.0MiB live, 17.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	25.147505196068142	#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	33.710328843873874	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

ival-sub: 2.0ms (70.1% 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

3.3MiB live, 3.3MiB 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))

simplify181.0ms (4.2%)

Memory

9.6MiB live, 86.3MiB 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)

rewrite172.0ms (4%)

Memory

-15.4MiB live, 265.5MiB 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>

eval3.0ms (0.1%)

Memory: 10.5MiB live, 10.5MiB allocated
Compiler: Compiled 190 to 19 computations (90% saved)

prune4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB 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
✓	78.0%	(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
✓	61.6%	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
✓	60.7%	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
✓	39.0%	#s(approx (- (- 1 x) y) (neg.f64 y))
✓	40.7%	#s(approx (- (- 1 x) y) (neg.f64 x))
✓	23.3%	#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 49 to 43 computations (12.2% saved)

regimes13.0ms (0.3%)

Memory

-5.7MiB live, 32.5MiB 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:

4.0ms	(-.f64 (-.f64 #s(literal 1 binary64) x) y)
3.0ms	y
3.0ms	x
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)

regimes12.0ms (0.3%)

Memory

-9.8MiB live, 28.4MiB 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
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)

Calls

4 calls:

4.0ms	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
99.2%	2	`x`
98.4%	2	`y`
99.0%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`
99.2%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes7.0ms (0.2%)

Memory

22.3MiB live, 22.3MiB 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

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
98.6%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`
91.3%	2	`x`
91.3%	2	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes10.0ms (0.2%)

Memory

-28.1MiB live, 13.8MiB 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

2 calls:

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

Results

Accuracy	Segments	Branch
93.7%	2	`y`
97.0%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 6 to 7 computations (-16.7% 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
96.6%	3	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB 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	y
2.0ms	x
2.0ms	(-.f64 (-.f64 #s(literal 1 binary64) x) y)
1.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
59.8%	2	`x`
59.8%	2	`(-.f64 #s(literal 1 binary64) x)`
44.1%	3	`y`
59.8%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes7.0ms (0.2%)

Memory

-20.3MiB live, 18.1MiB 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:

3.0ms	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
23.3%	1	`y`
23.3%	1	`x`
23.3%	1	`(-.f64 #s(literal 1 binary64) x)`
23.3%	1	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000132607	3374.6748024929466

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	0.9999999999995961	1.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3707.2296675029556	0.9795224030993132

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000132607	6119709744.42937
0.0ms	-3707.2296675029556	0.9795224030993132

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	1.0000000000132607	6119709744.42937

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify28.0ms (0.7%)

Memory

2.3MiB live, 76.2MiB 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 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 4503599627368677/4503599627370496 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 -2000 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 -2000 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 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 4503599627368677/4503599627370496 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 -2000 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 -2000 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)))

soundness1.4s (33.2%)

Memory

-124.1MiB live, 323.9MiB 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 132 to 83 computations (37.1% saved)

preprocess81.0ms (1.9%)

Memory: 26.1MiB live, 141.0MiB allocated
Remove: (sort x y)
Compiler: Compiled 216 to 84 computations (61.1% 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%)

sample995.0ms (23.4%)

explain63.0ms (1.5%)

preprocess34.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify13.0ms (0.3%)

localize27.0ms (0.6%)

series2.0ms (0%)

simplify304.0ms (7.2%)

rewrite182.0ms (4.3%)

eval39.0ms (0.9%)

prune7.0ms (0.2%)

simplify18.0ms (0.4%)

localize26.0ms (0.6%)

series8.0ms (0.2%)

simplify199.0ms (4.7%)

rewrite126.0ms (3%)

eval219.0ms (5.1%)

prune21.0ms (0.5%)

simplify11.0ms (0.3%)

localize15.0ms (0.4%)

series2.0ms (0%)

simplify181.0ms (4.2%)

rewrite172.0ms (4%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

regimes13.0ms (0.3%)

regimes12.0ms (0.3%)

regimes7.0ms (0.2%)

regimes10.0ms (0.2%)

regimes2.0ms (0.1%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify28.0ms (0.7%)

soundness1.4s (33.2%)

preprocess81.0ms (1.9%)

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