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

0.6MiB live, 0.6MiB 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)

sample469.0ms (4%)

Memory

29.6MiB live, 887.1MiB allocated

Samples

268.0ms	8 240×	0	valid
1.0ms	9×	2	valid
0.0ms	7×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-sub: 91.0ms (86.7% of total)

ival-true: 5.0ms (4.8% of total)

exact: 5.0ms (4.8% of total)

ival-assert: 3.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain54.0ms (0.5%)

Memory

-14.3MiB live, 106.7MiB 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

20.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

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

ival-sub: 7.0ms (88.2% 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)

preprocess59.0ms (0.5%)

Memory

0.3MiB live, 77.6MiB allocated

Algorithm

1×	egg-herbie

Rules

240×	`lower-fma.f64`
240×	`lower-fma.f32`
162×	`sub-neg`
152×	`cancel-sign-sub-inv`
124×	`cancel-sub-sign-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	38	26
2	127	25
3	334	25
4	621	25
5	738	25
6	775	25
7	778	25
0	5	5
0	7	5
1	15	5
2	31	5
3	70	5
4	144	5
5	291	5
6	358	5
7	390	5
0	390	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)

Samples

0.0ms

2×

valid

Compiler

Compiled 30 to 22 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

exact: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify124.0ms (1.1%)

Memory

16.0MiB live, 255.8MiB 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`
102×	`sub-neg`
96×	`lower-*.f64`
96×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	15	11
2	31	11
3	70	11
4	144	11
5	291	11
6	358	11
7	390	11
0	390	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

Samples

37.0ms	1 304×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 6 093 to 6 066 computations (0.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-neg: 5.0ms (44.1% of total)

ival-add: 3.0ms (26.5% of total)

ival-sub: 2.0ms (17.6% of total)

ival-true: 1.0ms (8.8% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

localize19.0ms (0.2%)

Memory

-8.3MiB live, 29.6MiB 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

13.0ms	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: 8.0ms

ival-sub: 7.0ms (91.3% 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

4.2MiB live, 4.2MiB 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 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 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 (-.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 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 (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 #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 #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

9 calls:

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

simplify1.3s (11.3%)

Memory

47.8MiB live, 2 342.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 394×	`lower-fma.f64`
4 394×	`lower-fma.f32`
1 832×	`lower-*.f64`
1 832×	`lower-*.f32`
1 604×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	136
1	116	136
2	359	136
3	1137	136
4	3517	136
5	6196	136
6	7987	136
0	8021	136

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

Outputs
(- 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 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)
(* -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)
(-.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
#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))
(-.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 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)

Samples

359.0ms	9 234×	0	valid
1.0ms	18×	1	valid

Compiler

Compiled 64 128 to 64 071 computations (0.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-neg: 57.0ms (39.3% of total)

ival-add: 45.0ms (31% of total)

ival-sub: 26.0ms (17.9% of total)

ival-true: 7.0ms (4.8% of total)

exact: 6.0ms (4.1% of total)

ival-assert: 4.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

rewrite306.0ms (2.6%)

Memory

5.7MiB live, 478.4MiB allocated

Rules

9 574×	`lower-fma.f64`
9 574×	`lower-fma.f32`
4 488×	`lower-*.f64`
4 488×	`lower-*.f32`
2 048×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	41	8
2	338	8
3	5203	8
0	9045	8

Stop Event

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

Counts

2 → 474

Calls

Call 1

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

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

eval73.0ms (0.6%)

Memory: 19.4MiB live, 137.0MiB allocated
Compiler: Compiled 12 084 to 970 computations (92% saved)

prune128.0ms (1.1%)

Memory

-21.1MiB live, 202.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	505	5	510
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	506	5	511

Accuracy

100.0%

Counts

511 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.3%	(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
▶	59.1%	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
▶	60.9%	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
▶	39.7%	#s(approx (- (- 1 x) y) (neg.f64 y))
▶	42.0%	#s(approx (- (- 1 x) y) (neg.f64 x))

Compiler

Compiled 58 to 36 computations (37.9% saved)

simplify465.0ms (4%)

Memory

-12.4MiB live, 862.2MiB 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	64	68
3	127	68
4	251	68
5	375	68
6	477	68
7	533	68
8	541	68
0	541	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

Samples

137.0ms

5 008×

valid

Compiler

Compiled 23 008 to 22 874 computations (0.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-neg: 19.0ms (40.8% of total)

ival-add: 18.0ms (38.6% of total)

ival-true: 4.0ms (8.6% of total)

ival-sub: 2.0ms (4.3% of total)

exact: 2.0ms (4.3% of total)

ival-assert: 2.0ms (4.3% of total)

localize33.0ms (0.3%)

Memory

21.8MiB live, 60.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy	34.57556566308577	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	25.04327161965794	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
accuracy	0	(neg.f64 y)
accuracy	38.60263963203952	#s(approx (- (- 1 x) y) (neg.f64 y))
accuracy	0	(neg.f64 x)
accuracy	37.103445241026016	#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	27.85154842745737	#s(approx (- 1 x) (neg.f64 x))

Samples

15.0ms	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: 3.0ms (57.2% of total)

ival-neg: 2.0ms (38.1% 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)

series9.0ms (0.1%)

Memory

-26.6MiB 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 y) (taylor 0 x) (#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 x)) y) (taylor 0 x) (#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 x)) y) (taylor 0 x) (#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 x)) y) (taylor 0 x) (#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 inf x) (#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 (* x (- (/ 1 x) (+ 1 (/ y x)))) (taylor inf x) (#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 (* x (- (/ 1 x) (+ 1 (/ y x)))) (taylor inf x) (#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 (* x (- (/ 1 x) (+ 1 (/ y x)))) (taylor inf x) (#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 -inf x) (#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 (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#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 (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#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 (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#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 (-.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 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 (-.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 (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (- 1 y) (taylor 0 x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 x)) y) (taylor 0 x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 x)) y) (taylor 0 x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 x)) y) (taylor 0 x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor 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 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>) () ())) ())
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#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) #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

45 calls:

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

simplify5.5s (47.2%)

Memory

187.7MiB live, 10 329.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 394×	`lower-fma.f64`
4 394×	`lower-fma.f32`
1 832×	`lower-*.f64`
1 832×	`lower-*.f32`
1 604×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	664
1	116	664
2	359	664
3	1137	664
4	3517	664
5	6196	664
6	7987	664
0	8021	664

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

Outputs
(- 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 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)
(* -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)
(-.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
#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))
(-.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 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)
(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)
(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 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)
(* -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)
(-.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 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)
(* -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)
(-.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)
(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)
(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)
(neg.f64 y)
(* -1 y)
(neg.f64 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 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)
(* -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)
(-.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
#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))
(-.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 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 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 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)
(* -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)
(-.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
#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))
(-.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 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)

Samples

1.8s	46 026×	0	valid
6.0ms	90×	1	valid

Compiler

Compiled 320 640 to 320 583 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 809.0ms

ival-neg: 300.0ms (37.1% of total)

ival-add: 253.0ms (31.3% of total)

ival-sub: 174.0ms (21.5% of total)

ival-true: 34.0ms (4.2% of total)

exact: 27.0ms (3.3% of total)

ival-assert: 20.0ms (2.5% of total)

adjust: 1.0ms (0.1% of total)

rewrite275.0ms (2.4%)

Memory

-28.9MiB live, 484.1MiB allocated

Rules

8 388×	`lower-fma.f64`
8 388×	`lower-fma.f32`
4 900×	`lower-*.f64`
4 900×	`lower-*.f32`
3 730×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
0	20	58
1	79	58
2	601	58
0	8564	58

Stop Event

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

Counts

10 → 312

Calls

Call 1

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

Outputs
(+.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 y))
(+.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y))
(+.f64 (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
(+.f64 (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))))
(+.f64 (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (/.f64 (.f64 y (neg.f64 y)) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
(+.f64 (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (neg.f64 (/.f64 (.f64 y y) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y))))
(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
(-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 y #s(approx (- 1 x) (neg.f64 x))))
(-.f64 (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
(-.f64 (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (/.f64 (.f64 y y) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
(fma.f64 y #s(literal -1 binary64) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
(fma.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))))
(fma.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (/.f64 (.f64 y (neg.f64 y)) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
(fma.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (neg.f64 (/.f64 (.f64 y y) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y))))
(fma.f64 #s(literal -1 binary64) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))) (.f64 (.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (.f64 (.f64 y y) (.f64 (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)))))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (.f64 (.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (-.f64 (.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
(fma.f64 (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))) (.f64 (.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (.f64 (.f64 y y) (.f64 (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)))))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (.f64 (.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (-.f64 (.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))))
(fma.f64 (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (.f64 (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (-.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y))))) (-.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (/.f64 (neg.f64 (.f64 y (.f64 y y))) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
(fma.f64 (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (.f64 (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (-.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y))))) (-.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))))
(fma.f64 (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (/.f64 (*.f64 y (neg.f64 y)) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
(fma.f64 (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (neg.f64 (/.f64 (*.f64 y y) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y))))
(fma.f64 (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 y (.f64 y y)))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)) (.f64 y (-.f64 y #s(approx (- 1 x) (neg.f64 x))))) (/.f64 (.f64 y (neg.f64 y)) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
(fma.f64 (/.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 y (.f64 y y)))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)) (.f64 y (-.f64 y #s(approx (- 1 x) (neg.f64 x))))) (neg.f64 (/.f64 (.f64 y y) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y))))
(neg.f64 (/.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (neg.f64 (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (neg.f64 (+.f64 #s(approx (- 1 x) (neg.f64 x)) y))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (neg.f64 (.f64 y (.f64 y y))))) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
(neg.f64 (/.f64 (*.f64 (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (neg.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (neg.f64 (.f64 y (.f64 y y)))) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y))))
(/.f64 (*.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y))
(/.f64 (neg.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (neg.f64 (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 (*.f64 (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (neg.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (neg.f64 (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))) (.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 (.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 y (.f64 y y))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (neg.f64 (.f64 y (.f64 y y))))) (.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 y (.f64 y y))) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 (.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (.f64 y (.f64 y y))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (neg.f64 (.f64 y (.f64 y y))))) (.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (.f64 (.f64 y y) (fma.f64 y y (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
(/.f64 (.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)) (.f64 y y)) (.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y))) (.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)) (*.f64 y y)) (+.f64 #s(approx (- 1 x) (neg.f64 x)) y)))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))) (.f64 (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (.f64 y (.f64 y y)))) (.f64 (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 y (+.f64 #s(approx (- 1 x) (neg.f64 x)) y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
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(.f64 (/.f64 (.f64 (fma.f64 y (+.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64))) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64))))) (.f64 (.f64 y (+.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (.f64 (.f64 y y) (.f64 (+.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (+.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))))))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))) (.f64 (.f64 y (+.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (-.f64 (.f64 y (+.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))))))
(.f64 (/.f64 (.f64 (fma.f64 y (+.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (.f64 (fma.f64 y (+.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))) (-.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64))) (.f64 y (+.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))) (-.f64 (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y (+.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (+.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64))) (.f64 y (.f64 y y)))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)) (.f64 y (-.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))))
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 0 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 0 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 0 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))

eval57.0ms (0.5%)

Memory: 20.7MiB live, 135.8MiB allocated
Compiler: Compiled 10 047 to 750 computations (92.5% saved)

prune55.0ms (0.5%)

Memory

-15.6MiB live, 104.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	524	1	525
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	524	6	530

Accuracy

100.0%

Counts

530 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.3%	(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
✓	59.1%	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
✓	60.9%	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
✓	39.7%	#s(approx (- (- 1 x) y) (neg.f64 y))
✓	42.0%	#s(approx (- (- 1 x) y) (neg.f64 x))
▶	21.1%	#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 34 to 21 computations (38.2% saved)

simplify83.0ms (0.7%)

Memory

0.1MiB live, 134.5MiB 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`
102×	`sub-neg`
96×	`lower-*.f64`
96×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	7	17
1	15	17
2	31	17
3	70	17
4	145	17
5	291	17
6	360	17
7	392	17
0	392	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)

Samples

27.0ms

769×

valid

Compiler

Compiled 2 309 to 2 308 computations (0% saved)

Precisions

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

exact: 2.0ms (69.5% of total)

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

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

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

localize15.0ms (0.1%)

Memory

-7.4MiB live, 31.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	25.04327161965794	#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	34.57556566308577	#s(approx (- 1 x) #s(literal 1 binary64))

Samples

10.0ms	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: 3.0ms

ival-sub: 3.0ms (100% 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)

series1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs

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

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

Outputs
#s(alt (- 1 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 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) 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 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 (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) #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) #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

9 calls:

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

simplify1.1s (9.3%)

Memory

35.3MiB live, 2 290.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 394×	`lower-fma.f64`
4 394×	`lower-fma.f32`
1 832×	`lower-*.f64`
1 832×	`lower-*.f32`
1 604×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	136
1	116	136
2	359	136
3	1137	136
4	3517	136
5	6196	136
6	7987	136
0	8021	136

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

Outputs
(- 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 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)
(* -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)
(-.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
#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))
(-.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 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)

Samples

331.0ms	9 234×	0	valid
1.0ms	18×	1	valid

Compiler

Compiled 64 128 to 64 071 computations (0.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-add: 49.0ms (34.8% of total)

ival-neg: 49.0ms (34.8% of total)

ival-sub: 27.0ms (19.2% of total)

ival-true: 7.0ms (5% of total)

exact: 5.0ms (3.6% of total)

ival-assert: 4.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

rewrite260.0ms (2.2%)

Memory

12.0MiB live, 406.0MiB allocated

Rules

9 574×	`lower-fma.f64`
9 574×	`lower-fma.f32`
4 488×	`lower-*.f64`
4 488×	`lower-*.f32`
2 048×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
0	7	16
1	41	16
2	338	16
3	5215	16
0	9058	16

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

2 → 2

Calls

Call 1

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

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

eval4.0ms (0%)

Memory: 10.0MiB live, 10.0MiB allocated
Compiler: Compiled 192 to 8 computations (95.8% saved)

prune5.0ms (0%)

Memory

-28.2MiB live, 11.0MiB 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
✓	80.3%	(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
✓	59.1%	(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
✓	60.9%	#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
✓	39.7%	#s(approx (- (- 1 x) y) (neg.f64 y))
✓	42.0%	#s(approx (- (- 1 x) y) (neg.f64 x))
✓	21.1%	#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 63 to 30 computations (52.4% saved)

regimes13.0ms (0.1%)

Memory

30.5MiB live, 30.5MiB 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:

3.0ms	y
3.0ms	x
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 18 to 13 computations (27.8% saved)

regimes13.0ms (0.1%)

Memory

-10.7MiB live, 28.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
100.0%	3	`x`
98.9%	2	`y`
98.7%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`
100.0%	3	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0%)

Memory

13.0MiB live, 13.0MiB 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:

3.0ms	y
2.0ms	(-.f64 (-.f64 #s(literal 1 binary64) x) y)

Results

Accuracy	Segments	Branch
98.7%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`
91.9%	2	`y`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory

-28.3MiB live, 16.2MiB 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:

4.0ms	(-.f64 (-.f64 #s(literal 1 binary64) x) y)
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
77.9%	2	`x`
73.5%	2	`(-.f64 #s(literal 1 binary64) x)`
98.2%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes2.0ms (0%)

Memory

6.0MiB live, 6.0MiB 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 7 to 5 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB 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
59.0%	2	`(-.f64 #s(literal 1 binary64) x)`
59.0%	2	`x`
42.0%	1	`y`
59.0%	2	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory

-23.8MiB live, 15.4MiB 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:

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

Results

Accuracy	Segments	Branch
21.1%	1	`y`
21.1%	1	`(-.f64 #s(literal 1 binary64) x)`
21.1%	1	`x`
21.1%	1	`(-.f64 (-.f64 #s(literal 1 binary64) x) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch7.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.4811567750728525e-9	2.0269995101493636e-8

Samples

3.0ms

96×

valid

Compiler

Compiled 100 to 70 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sub: 1.0ms (78.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999965188432	1.0

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.780595301222478	0.9999999965188432

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2445602747163118	190.05241258530268
0.0ms	-3.780595301222478	0.9999999965188432

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2445602747163118	190.05241258530268

Compiler

Compiled 10 to 10 computations (0% saved)

simplify291.0ms (2.5%)

Memory

-5.9MiB live, 552.6MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`sub-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
26×	`cancel-sub-sign-inv_binary64`
24×	`distribute-neg-in_binary64`
22×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	156
1	42	156
2	57	156
3	88	156
4	125	156
5	143	156
6	163	156
7	166	156

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(if (<=.f64 y #s(literal 3022314549036573/151115727451828646838272 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 9007199223385519/9007199254740992 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 -2 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 -2 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 3022314549036573/151115727451828646838272 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 9007199223385519/9007199254740992 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 -2 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 -2 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)))

Samples

99.0ms	1 840×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 24 521 to 18 629 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sub: 18.0ms (40.8% of total)

ival-neg: 9.0ms (20.4% of total)

ival-if: 6.0ms (13.6% of total)

ival-<=: 5.0ms (11.3% of total)

ival-true: 2.0ms (4.5% of total)

exact: 2.0ms (4.5% of total)

ival-add: 1.0ms (2.3% of total)

ival-assert: 1.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

soundness831.0ms (7.2%)

Memory

-1.4MiB live, 272.5MiB allocated

Rules

4 394×	`lower-fma.f64`
4 394×	`lower-fma.f32`
4 394×	`lower-fma.f64`
4 394×	`lower-fma.f32`
1 832×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	664
1	116	664
2	359	664
3	1137	664
4	3517	664
5	6196	664
6	7987	664
0	8021	664
0	37	136
1	116	136
2	359	136
3	1137	136
4	3517	136
5	6196	136
6	7987	136
0	8021	136

Stop Event

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

Compiler

Compiled 162 to 75 computations (53.7% saved)

preprocess53.0ms (0.5%)

Memory: -15.1MiB live, 107.7MiB allocated
Remove: (sort x y)
Compiler: Compiled 228 to 74 computations (67.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	31
1	38	26
2	127	25
3	334	25
4	621	25
5	738	25
6	775	25
7	778	25
0	5	5
0	7	5
1	15	5
2	31	5
3	70	5
4	144	5
5	291	5
6	358	5
7	390	5
0	390	5

Iter	Nodes	Cost
0	15	68
0	20	68
1	33	68
2	64	68
3	127	68
4	251	68
5	375	68
6	477	68
7	533	68
8	541	68
0	541	68

Iter	Nodes	Cost
0	13	31
1	38	26
2	127	25
3	334	25
4	621	25
5	738	25
6	775	25
7	778	25
0	5	5
0	7	5
1	15	5
2	31	5
3	70	5
4	144	5
5	291	5
6	358	5
7	390	5
0	390	5

Iter	Nodes	Cost
0	15	68
0	20	68
1	33	68
2	64	68
3	127	68
4	251	68
5	375	68
6	477	68
7	533	68
8	541	68
0	541	68

start0.0ms (0%)

analyze0.0ms (0%)

sample469.0ms (4%)

explain54.0ms (0.5%)

preprocess59.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify124.0ms (1.1%)

localize19.0ms (0.2%)

series2.0ms (0%)

simplify1.3s (11.3%)

rewrite306.0ms (2.6%)

eval73.0ms (0.6%)

prune128.0ms (1.1%)

simplify465.0ms (4%)

localize33.0ms (0.3%)

series9.0ms (0.1%)

simplify5.5s (47.2%)

rewrite275.0ms (2.4%)

eval57.0ms (0.5%)

prune55.0ms (0.5%)

simplify83.0ms (0.7%)

localize15.0ms (0.1%)

series1.0ms (0%)

simplify1.1s (9.3%)

rewrite260.0ms (2.2%)

eval4.0ms (0%)

prune5.0ms (0%)

regimes13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes5.0ms (0%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify291.0ms (2.5%)

soundness831.0ms (7.2%)

preprocess53.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	31
1	38	26
2	127	25
3	334	25
4	621	25
5	738	25
6	775	25
7	778	25
0	5	5
0	7	5
1	15	5
2	31	5
3	70	5
4	144	5
5	291	5
6	358	5
7	390	5
0	390	5

Iter	Nodes	Cost
0	15	68
0	20	68
1	33	68
2	64	68
3	127	68
4	251	68
5	375	68
6	477	68
7	533	68
8	541	68
0	541	68