Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample1.0s (25.2%)

Memory

6.8MiB live, 562.5MiB allocated

Samples

654.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 436.0ms

ival-sub: 296.0ms (67.9% of total)

ival-mult: 127.0ms (29.1% of total)

ival-true: 6.0ms (1.4% of total)

exact: 4.0ms (0.9% of total)

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

Bogosity

explain146.0ms (3.6%)

Memory

-1.2MiB live, 73.1MiB allocated

FPErrors

Click to see full error table

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

123.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 3.0ms (40.6% of total)

ival-mult: 3.0ms (40.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess125.0ms (3.1%)

Memory

-4.2MiB live, 47.3MiB allocated

Algorithm

1×	egg-herbie

Rules

176×	`lower-fma.f64`
176×	`lower-fma.f32`
112×	`lower-*.f32`
110×	`lower-*.f64`
102×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	40	26
2	106	25
3	323	25
4	517	25
5	612	25
0	5	5
0	7	5
1	12	5
2	22	5
3	38	5
4	83	5
5	114	5
6	154	5
7	219	5
8	265	5
9	301	5
10	307	5
0	307	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify40.0ms (1%)

Memory

-14.8MiB live, 22.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

176×	`lower-fma.f64`
176×	`lower-fma.f32`
112×	`lower-*.f32`
110×	`lower-*.f64`
56×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	22	11
3	38	11
4	83	11
5	114	11
6	154	11
7	219	11
8	265	11
9	301	11
10	307	11
0	307	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.4%)

Memory

27.1MiB live, 27.1MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-sub: 2.0ms (56.1% of total)

ival-mult: 2.0ms (56.1% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.6%)

Memory

-30.2MiB live, 6.8MiB allocated

Counts

2 → 36

Calls

Call 1

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

Inputs

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

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

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	(* x (- 1 y))
0.0ms	x	@	0	(* x (- 1 y))
0.0ms	x	@	inf	(* x (- 1 y))
0.0ms	x	@	-inf	(* x (- 1 y))
0.0ms	y	@	inf	(* x (- 1 y))

simplify314.0ms (7.7%)

Memory

11.9MiB live, 251.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 840×	`lower-fma.f64`
8 840×	`lower-fma.f32`
2 370×	`lower-*.f64`
2 370×	`lower-*.f32`
2 096×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	146
1	69	146
2	160	146
3	294	146
4	860	146
5	2433	146
6	3646	146
7	4180	146
8	4355	146
9	4392	146
10	4424	146
11	5092	146
12	5540	146
13	5641	146
14	5661	146
15	5671	146
16	5677	146
17	5677	146
18	5681	146
19	5685	146
20	6658	146
0	8363	146

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

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

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

rewrite182.0ms (4.5%)

Memory

10.4MiB live, 392.4MiB allocated

Rules

4 132×	`lower-fma.f64`
4 132×	`lower-fma.f32`
3 294×	`lower-/.f64`
3 294×	`lower-/.f32`
2 854×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	25	8
2	145	8
3	1149	8
0	9894	7

Stop Event

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

Counts

2 → 353

Calls

Call 1

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

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

eval45.0ms (1.1%)

Memory: 13.5MiB live, 135.5MiB allocated
Compiler: Compiled 10 547 to 1 069 computations (89.9% saved)

prune96.0ms (2.4%)

Memory

-3.1MiB live, 176.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	385	3	388
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	386	3	389

Accuracy

100.0%

Counts

389 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (neg.f64 x) y x)
▶	48.9%	(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
▶	53.8%	(*.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))

Compiler

Compiled 20 to 12 computations (40% saved)

simplify27.0ms (0.7%)

Memory

-27.7MiB live, 50.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

272×	`lower-fma.f32`
270×	`lower-fma.f64`
208×	`lower-*.f32`
204×	`lower-*.f64`
98×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	17	41
1	31	41
2	45	41
3	66	41
4	87	41
5	148	41
6	209	41
7	325	41
8	432	41
9	494	41
10	502	41
11	506	41
12	512	41
13	516	41
0	516	41

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.7%)

Memory

29.6MiB live, 70.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (neg.f64 x) y x)
accuracy	0	(neg.f64 x)
accuracy	0	(neg.f64 y)
accuracy	0.00390625	(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
accuracy	33.05714313762374	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.00390625	(*.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))
accuracy	29.684083926597697	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

19.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (43.5% of total)

ival-neg: 2.0ms (21.8% of total)

ival-sub: 1.0ms (10.9% of total)

ival-add: 1.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

-25.9MiB live, 12.2MiB allocated

Counts

7 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(neg y)
1.0ms	y	@	inf	(+ (* (neg x) y) x)
1.0ms	x	@	inf	(+ (* (neg x) y) x)
1.0ms	x	@	0	(+ (* (neg x) y) x)
0.0ms	y	@	0	(+ (* (neg x) y) x)

simplify267.0ms (6.5%)

Memory

14.2MiB live, 174.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3 160×	`lower-fma.f64`
3 160×	`lower-fma.f32`
2 120×	`div-sub`
1 832×	`lower-*.f64`
1 832×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	454
1	85	454
2	184	454
3	342	454
4	951	454
5	2607	454
6	3444	454
7	3953	454
8	4049	454
9	4092	454
10	4120	454
11	4999	454
12	5653	454
13	5922	454
14	5942	454
15	5952	454
16	5964	454
17	5964	454
18	5968	454
19	5972	454
20	5972	454
21	6296	454
22	7382	454
0	8018	454

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 117

Calls

Call 1

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

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

rewrite222.0ms (5.4%)

Memory

-6.4MiB live, 312.3MiB allocated

Rules

3 246×	`lower-fma.f32`
3 244×	`lower-fma.f64`
2 912×	`lower-/.f64`
2 912×	`lower-/.f32`
2 358×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	17	35
1	56	35
2	322	35
3	3097	30
0	9701	30

Stop Event

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

Counts

7 → 191

Calls

Call 1

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

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

eval32.0ms (0.8%)

Memory: 12.6MiB live, 88.6MiB allocated
Compiler: Compiled 5 914 to 449 computations (92.4% saved)

prune72.0ms (1.8%)

Memory

5.7MiB live, 87.3MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	308	0	308
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	308	3	311

Accuracy

100.0%

Counts

311 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 x) y x)
✓	48.9%	(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
✓	53.8%	(*.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))

Compiler

Compiled 41 to 22 computations (46.3% saved)

regimes39.0ms (1%)

Memory

-14.6MiB live, 23.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(fma.f64 (neg.f64 x) y x)

Calls

4 calls:

32.0ms	(*.f64 x (-.f64 #s(literal 1 binary64) y))
2.0ms	x
2.0ms	y
2.0ms	(-.f64 #s(literal 1 binary64) y)

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes26.0ms (0.6%)

Memory

-25.0MiB live, 13.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(*.f64 x (-.f64 #s(literal 1 binary64) y))
2.0ms	y
1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
66.6%	6	`x`
98.7%	3	`y`
84.4%	3	`(*.f64 x (-.f64 #s(literal 1 binary64) y))`
98.7%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.8%	1	`x`
53.8%	1	`(*.f64 x (-.f64 #s(literal 1 binary64) y))`
53.8%	1	`y`
53.8%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.013420829416778	28304112267.056538
0.0ms	-1474.3281978739756	0.9997211004302592

Compiler

Compiled 10 to 10 computations (0% saved)

simplify45.0ms (1.1%)

Memory

-26.5MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	52
1	31	52
2	36	52
3	38	52

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (neg.f64 x) y x)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000 binary64)) (.f64 x #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 x #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 y) (neg.f64 y)))))
(*.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))

Outputs
(fma.f64 (neg.f64 x) y x)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1000 binary64)) (.f64 x #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 x #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 y) (neg.f64 y)))))
(*.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))

soundness1.2s (30.3%)

Memory

8.0MiB live, 203.7MiB allocated

Rules

8 840×	`lower-fma.f64`
8 840×	`lower-fma.f32`
4 132×	`lower-fma.f64`
4 132×	`lower-fma.f32`
3 294×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	146
1	69	146
2	160	146
3	294	146
4	860	146
5	2433	146
6	3646	146
7	4180	146
8	4355	146
9	4392	146
10	4424	146
11	5092	146
12	5540	146
13	5641	146
14	5661	146
15	5671	146
16	5677	146
17	5677	146
18	5681	146
19	5685	146
20	6658	146
0	8363	146
0	5	8
0	7	8
1	25	8
2	145	8
3	1149	8
0	9894	7

Stop Event

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

Compiler

Compiled 70 to 35 computations (50% saved)

preprocess48.0ms (1.2%)

Memory: 34.9MiB live, 72.8MiB allocated
Remove: (negabs x)
Compiler: Compiled 126 to 58 computations (54% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	31
1	40	26
2	106	25
3	323	25
4	517	25
5	612	25
0	5	5
0	7	5
1	12	5
2	22	5
3	38	5
4	83	5
5	114	5
6	154	5
7	219	5
8	265	5
9	301	5
10	307	5
0	307	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	22	11
3	38	11
4	83	11
5	114	11
6	154	11
7	219	11
8	265	11
9	301	11
10	307	11
0	307	11

Iter	Nodes	Cost
0	11	41
0	17	41
1	31	41
2	45	41
3	66	41
4	87	41
5	148	41
6	209	41
7	325	41
8	432	41
9	494	41
10	502	41
11	506	41
12	512	41
13	516	41
0	516	41

Iter	Nodes	Cost
0	13	31
1	40	26
2	106	25
3	323	25
4	517	25
5	612	25
0	5	5
0	7	5
1	12	5
2	22	5
3	38	5
4	83	5
5	114	5
6	154	5
7	219	5
8	265	5
9	301	5
10	307	5
0	307	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	22	11
3	38	11
4	83	11
5	114	11
6	154	11
7	219	11
8	265	11
9	301	11
10	307	11
0	307	11

Iter	Nodes	Cost
0	11	41
0	17	41
1	31	41
2	45	41
3	66	41
4	87	41
5	148	41
6	209	41
7	325	41
8	432	41
9	494	41
10	502	41
11	506	41
12	512	41
13	516	41
0	516	41

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (25.2%)

explain146.0ms (3.6%)

preprocess125.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify40.0ms (1%)

localize14.0ms (0.4%)

series26.0ms (0.6%)

simplify314.0ms (7.7%)

rewrite182.0ms (4.5%)

eval45.0ms (1.1%)

prune96.0ms (2.4%)

simplify27.0ms (0.7%)

localize29.0ms (0.7%)

series8.0ms (0.2%)

simplify267.0ms (6.5%)

rewrite222.0ms (5.4%)

eval32.0ms (0.8%)

prune72.0ms (1.8%)

regimes39.0ms (1%)

regimes8.0ms (0.2%)

regimes26.0ms (0.6%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify45.0ms (1.1%)

soundness1.2s (30.3%)

preprocess48.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	31
1	40	26
2	106	25
3	323	25
4	517	25
5	612	25
0	5	5
0	7	5
1	12	5
2	22	5
3	38	5
4	83	5
5	114	5
6	154	5
7	219	5
8	265	5
9	301	5
10	307	5
0	307	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	22	11
3	38	11
4	83	11
5	114	11
6	154	11
7	219	11
8	265	11
9	301	11
10	307	11
0	307	11

Iter	Nodes	Cost
0	11	41
0	17	41
1	31	41
2	45	41
3	66	41
4	87	41
5	148	41
6	209	41
7	325	41
8	432	41
9	494	41
10	502	41
11	506	41
12	512	41
13	516	41
0	516	41