Metrics for Data.Histogram.Bin.LogBinD:$cbinSizeN from histogram-fill-0.8.4.1

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample721.0ms (19.4%)

Memory

16.7MiB live, 687.1MiB allocated

Samples

377.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-mult: 158.0ms (76.9% of total)

ival-sub: 38.0ms (18.5% of total)

ival-true: 6.0ms (2.9% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain62.0ms (1.7%)

Memory

-43.4MiB live, 91.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 (*.f64 x y) x)`
-	-	`(*.f64 x y)`
-	-	`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

30.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-mult: 4.0ms (58.3% of total)

ival-sub: 2.0ms (29.1% of total)

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

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

preprocess31.0ms (0.8%)

Memory

23.2MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Rules

176×	`lower-fma.f64`
176×	`lower-fma.f32`
112×	`lower-*.f32`
110×	`lower-*.f64`
88×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	33	31
2	92	26
3	255	25
4	490	25
5	598	25
6	619	25
0	4	5
0	6	5
1	9	5
2	14	5
3	24	5
4	38	5
5	60	5
6	126	5
7	224	5
8	272	5
9	277	5
0	277	5

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (*.f64 x y) x)

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

Symmetry

(negabs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x y) x)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify19.0ms (0.5%)

Memory

-17.1MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x y)
cost-diff	0	(-.f64 (*.f64 x y) x)

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	4	10
0	6	10
1	9	10
2	14	10
3	24	10
4	38	10
5	60	10
6	126	10
7	224	10
8	272	10
9	277	10
0	277	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (*.f64 x y) x)
(*.f64 x y)
x
y

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

localize12.0ms (0.3%)

Memory

19.4MiB live, 19.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x y)
accuracy	0.0078125	(-.f64 (*.f64 x y) x)

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-mult: 2.0ms (64% of total)

ival-sub: 1.0ms (32% of total)

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

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

series4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

2 → 48

Calls

Call 1

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

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

Calls

6 calls:

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

simplify200.0ms (5.4%)

Memory

-12.9MiB live, 64.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 552×	`lower-fma.f64`
3 552×	`lower-fma.f32`
2 016×	`lower-*.f64`
2 016×	`lower-*.f32`
1 472×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	185
1	64	185
2	149	185
3	276	185
4	599	185
5	1806	185
6	3066	185
7	3528	185
8	3809	185
9	3979	185
10	4013	185
11	4545	185
12	5815	185
13	6637	185
14	6968	185
15	7046	185
16	7046	185
17	7538	185
0	8070	185

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

Outputs
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite304.0ms (8.2%)

Memory

8.8MiB live, 211.6MiB allocated

Rules

10 182×	`lower-fma.f64`
10 182×	`lower-fma.f32`
4 186×	`lower-/.f64`
4 186×	`lower-/.f32`
4 000×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	22	8
2	155	8
3	1579	8
0	8590	8

Stop Event

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

Counts

2 → 243

Calls

Call 1

Inputs
(-.f64 (*.f64 x y) x)
(*.f64 x y)

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

eval76.0ms (2.1%)

Memory: -20.6MiB live, 55.4MiB allocated
Compiler: Compiled 8 038 to 688 computations (91.4% saved)

prune48.0ms (1.3%)

Memory

18.1MiB live, 57.7MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	288	3	291
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	289	3	292

Accuracy

100.0%

Counts

292 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (neg.f64 x))
▶	52.8%	#s(approx (- (* x y) x) (*.f64 y x))
▶	48.6%	#s(approx (- (* x y) x) (neg.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

simplify11.0ms (0.3%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
0	12	34
1	19	34
2	29	34
3	44	34
4	66	34
5	132	34
6	229	34
7	277	34
8	282	34
0	282	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize46.0ms (1.3%)

Memory

-13.0MiB live, 30.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	0	(*.f64 y x)
accuracy	30.196661585577043	#s(approx (- (* x y) x) (*.f64 y x))
accuracy	0	(neg.f64 x)
accuracy	32.86794485216434	#s(approx (- (* x y) x) (neg.f64 x))

Samples

41.0ms

256×

valid

Compiler

Compiled 30 to 9 computations (70% saved)

Precisions

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

ival-mult: 5.0ms (59.5% of total)

ival-sub: 1.0ms (11.9% of total)

ival-add: 1.0ms (11.9% of total)

ival-neg: 1.0ms (11.9% of total)

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

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

series4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

6 calls:

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

simplify179.0ms (4.8%)

Memory

-9.4MiB live, 68.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 552×	`lower-fma.f64`
3 552×	`lower-fma.f32`
2 016×	`lower-*.f64`
2 016×	`lower-*.f32`
1 472×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	435
1	64	435
2	149	435
3	276	435
4	599	435
5	1806	435
6	3066	435
7	3528	435
8	3809	435
9	3979	435
10	4013	435
11	4545	435
12	5815	435
13	6637	435
14	6968	435
15	7046	435
16	7046	435
17	7538	435
0	8070	435

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

Outputs
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))

rewrite193.0ms (5.2%)

Memory

-0.4MiB live, 240.5MiB allocated

Rules

4 590×	`lower-fma.f32`
4 588×	`lower-fma.f64`
3 718×	`lower-*.f32`
3 716×	`lower-*.f64`
2 822×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	12	27
1	49	27
2	305	22
3	3546	22
0	8357	22

Stop Event

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

Counts

5 → 430

Calls

Call 1

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

Outputs
#s(approx (- (* x y) x) x)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x)
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 x x) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (.f64 x x))) x) (.f64 x (/.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) x) (.f64 x (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) #s(literal 0 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 x (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (.f64 x x))) (.f64 x x)) (.f64 (.f64 x x) (/.f64 x (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 x x)) x)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) #s(literal 0 binary64)))) (pow.f64 x #s(literal 5 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (*.f64 x x) x)
(neg.f64 x)
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 #s(literal 0 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
(+.f64 #s(literal 0 binary64) x)
(+.f64 x #s(literal 0 binary64))
x
#s(approx (- (* x y) x) (*.f64 y x))
(*.f64 (exp.f64 (log.f64 y)) x)
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 y #s(literal 1 binary64)) x)
(*.f64 (neg.f64 y) x)
(.f64 (.f64 y #s(literal -1 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal -1 binary64))
(*.f64 y x)
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(.f64 x (pow.f64 (.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 1 binary64)))
(*.f64 x (neg.f64 y))
(.f64 x (.f64 y #s(literal -1 binary64)))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 y (pow.f64 x #s(literal 3 binary64)))) (.f64 x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64))) (.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 y x) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y x) #s(literal 0 binary64))))))
(/.f64 (.f64 y (pow.f64 x #s(literal 3 binary64))) (.f64 x x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 y x))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 y x) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 y x) #s(literal 0 binary64)))))
(/.f64 (.f64 (.f64 x x) y) x)
(neg.f64 (*.f64 y x))
(fma.f64 (exp.f64 (log.f64 y)) x #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) x #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) x #s(literal 0 binary64))
(fma.f64 (neg.f64 y) x #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) y (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal 0 binary64) (*.f64 y x))
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 x (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 x (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (pow.f64 y #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (neg.f64 y) #s(literal 0 binary64))
(fma.f64 x (*.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(-.f64 (*.f64 y x) #s(literal 0 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 (.f64 #s(literal 0 binary64) y) (.f64 y x))
(+.f64 (.f64 y #s(literal 0 binary64)) (.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (*.f64 y x) #s(literal 0 binary64))
(.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (-.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y x x) (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 y x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (fma.f64 y x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 y x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 y x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 y x x) x) (-.f64 (.f64 (fma.f64 y x x) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal 2 binary64))) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))
(*.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (fma.f64 y x x))
(.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))
(*.f64 (neg.f64 (-.f64 y #s(literal -1 binary64))) x)
(*.f64 (/.f64 (fma.f64 y x x) (-.f64 y #s(literal -1 binary64))) (/.f64 (fma.f64 y x x) x))
(*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 y x x) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 y x x) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y x x) x) (/.f64 (fma.f64 y x x) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y x x) x) (/.f64 (fma.f64 y x x) (+.f64 #s(literal -1 binary64) y)))
(*.f64 (-.f64 y #s(literal -1 binary64)) x)
(*.f64 (+.f64 #s(literal -1 binary64) y) x)
(.f64 (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal -1 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 (fma.f64 y x x) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 y x x))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (.f64 (fma.f64 y x x) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (-.f64 y #s(literal -1 binary64))))
(*.f64 x (-.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(pow.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 y #s(literal -1 binary64)))) x)
(/.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (pow.f64 (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) x)) (neg.f64 (+.f64 #s(literal -1 binary64) y)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) x)) (neg.f64 (-.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal -1 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (.f64 y x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 y x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (.f64 y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 y x)) (/.f64 x (-.f64 y #s(literal -1 binary64))))))))
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(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (fma.f64 y x x) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (neg.f64 y) x x)
(fma.f64 (*.f64 y #s(literal -1 binary64)) x x)
(fma.f64 (/.f64 (.f64 (.f64 y y) x) (-.f64 y #s(literal -1 binary64))) (/.f64 x x) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) x (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 x x) y) (-.f64 y #s(literal -1 binary64))) (/.f64 y x) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 x x) (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 y #s(literal -1 binary64))) (/.f64 (.f64 y y) x) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 y x) (-.f64 y #s(literal -1 binary64))) (/.f64 (.f64 y x) x) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (.f64 y x) (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 y x) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 y x) (/.f64 (.f64 (.f64 x x) y) (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 y y) x) x) (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 x x) (/.f64 (.f64 (.f64 y y) x) (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (fma.f64 y x x)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 y y) (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 (.f64 (.f64 y y) x) x) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) x)
(fma.f64 #s(literal -1 binary64) x (*.f64 y x))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (fma.f64 y x x)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 y x))
(fma.f64 (.f64 x x) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 y x))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (fma.f64 y x x)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (.f64 x x) (pow.f64 x #s(literal -1 binary64)) (.f64 y x))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 (.f64 y x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))))))
(fma.f64 (.f64 y x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (fma.f64 y x x)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 y x) (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) x)
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (fma.f64 y x x)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 y x x)
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 y x))
(fma.f64 x (exp.f64 (log.f64 y)) x)
(fma.f64 x (pow.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(fma.f64 x (pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (fma.f64 y x x)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 x (neg.f64 y) x)
(fma.f64 x (*.f64 y #s(literal -1 binary64)) x)
(fma.f64 x (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x #s(literal -1 binary64) (*.f64 y x))
(fma.f64 x y x)
(-.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (.f64 y x)))
(-.f64 (.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (.f64 y x)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y x x))
(-.f64 (*.f64 y x) x)
(-.f64 x (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (.f64 y x)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))))))
(+.f64 #s(literal 0 binary64) (fma.f64 y x x))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))

eval68.0ms (1.8%)

Memory: 2.1MiB live, 156.4MiB allocated
Compiler: Compiled 10 525 to 1 172 computations (88.9% saved)

prune65.0ms (1.8%)

Memory

-5.5MiB live, 195.0MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	597	2	599
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	597	5	602

Accuracy

100.0%

Counts

602 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (neg.f64 x))
▶	3.1%	#s(approx (- (* x y) x) (*.f64 (neg.f64 y) x))
✓	52.8%	#s(approx (- (* x y) x) (*.f64 y x))
✓	48.6%	#s(approx (- (* x y) x) (neg.f64 x))
▶	3.3%	#s(approx (- (* x y) x) x)

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify12.0ms (0.3%)

Memory

-7.1MiB live, 32.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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	8	26
0	10	26
1	20	26
2	31	26
3	48	26
4	65	26
5	94	26
6	153	26
7	257	26
8	281	26
9	281	26
0	281	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.5%)

Memory

2.9MiB live, 41.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	62.007334355259616	#s(approx (- (* x y) x) (*.f64 (neg.f64 y) x))
accuracy	61.89391898737016	#s(approx (- (* x y) x) x)

Samples

13.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

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

ival-mult: 3.0ms (49.9% of total)

ival-sub: 1.0ms (16.6% of total)

ival-neg: 1.0ms (16.6% of total)

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

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

series4.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

6 calls:

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

simplify195.0ms (5.3%)

Memory

0.1MiB live, 134.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 552×	`lower-fma.f64`
3 552×	`lower-fma.f32`
2 016×	`lower-*.f64`
2 016×	`lower-*.f32`
1 728×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	346
1	67	346
2	150	346
3	282	346
4	634	346
5	1875	346
6	3160	346
7	3629	346
8	3902	346
9	4072	346
10	4106	346
11	4666	346
12	5936	346
13	6758	346
14	7079	346
15	7158	346
16	7158	346
17	7650	346
0	8086	346

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

Outputs
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)

rewrite256.0ms (6.9%)

Memory

-25.6MiB live, 253.2MiB allocated

Rules

7 336×	`lower-fma.f64`
7 336×	`lower-fma.f32`
4 382×	`lower-/.f64`
4 382×	`lower-/.f32`
3 582×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	10	23
1	33	23
2	181	23
3	1728	23
0	8951	23

Stop Event

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

Counts

4 → 69

Calls

Call 1

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

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

eval43.0ms (1.2%)

Memory: -0.8MiB live, 36.5MiB allocated
Compiler: Compiled 1 224 to 236 computations (80.7% saved)

prune11.0ms (0.3%)

Memory

25.7MiB live, 25.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	153	5	158

Accuracy

100.0%

Counts

158 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (neg.f64 x))
✓	3.1%	#s(approx (- (* x y) x) (*.f64 (neg.f64 y) x))
✓	52.8%	#s(approx (- (* x y) x) (*.f64 y x))
✓	48.6%	#s(approx (- (* x y) x) (neg.f64 x))
✓	3.3%	#s(approx (- (* x y) x) x)

Compiler

Compiled 43 to 33 computations (23.3% saved)

regimes28.0ms (0.8%)

Memory

-19.5MiB live, 19.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	x
3.0ms	y
3.0ms	(-.f64 (*.f64 x y) x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (*.f64 x y) x)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes8.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(-.f64 (*.f64 x y) x)

Calls

3 calls:

3.0ms	x
2.0ms	(-.f64 (*.f64 x y) x)
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (*.f64 x y) x)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes18.0ms (0.5%)

Memory

-28.8MiB live, 15.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
2.0ms	y
2.0ms	(-.f64 (*.f64 x y) x)

Results

Accuracy	Segments	Branch
64.5%	5	`x`
97.7%	3	`y`
83.5%	3	`(-.f64 (*.f64 x y) x)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(-.f64 (*.f64 x y) x)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
48.6%	1	`x`
48.6%	1	`(-.f64 (*.f64 x y) x)`
48.6%	1	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes4.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x y) x) x)

Outputs
#s(approx (- (* x y) x) x)

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(-.f64 (*.f64 x y) x)

Results

Accuracy	Segments	Branch
3.3%	1	`y`
3.3%	1	`(-.f64 (*.f64 x y) x)`
3.3%	1	`x`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch37.0ms (1%)

Memory

-11.9MiB live, 27.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.5642353308975154	2.2517680171380063
30.0ms	-108133.3412076791	-0.09722705082229097

Samples

28.0ms

224×

valid

Compiler

Compiled 106 to 149 computations (-40.6% saved)

Precisions

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

ival-mult: 2.0ms (69.6% of total)

ival-sub: 1.0ms (34.8% of total)

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

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

simplify51.0ms (1.4%)

Memory

19.5MiB live, 59.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	59
1	25	59
2	28	59
3	29	59

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness841.0ms (22.6%)

Memory

-25.0MiB live, 328.7MiB allocated

Rules

10 182×	`lower-fma.f64`
10 182×	`lower-fma.f32`
4 590×	`lower-fma.f32`
4 588×	`lower-fma.f64`
4 186×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	12	27
1	49	27
2	305	22
3	3546	22
0	8357	22
0	20	185
1	64	185
2	149	185
3	276	185
4	599	185
5	1806	185
6	3066	185
7	3528	185
8	3809	185
9	3979	185
10	4013	185
11	4545	185
12	5815	185
13	6637	185
14	6968	185
15	7046	185
16	7046	185
17	7538	185
0	8070	185
0	4	8
0	6	8
1	22	8
2	155	8
3	1579	8
0	8590	8

Stop Event

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

Compiler

Compiled 56 to 37 computations (33.9% saved)

preprocess138.0ms (3.7%)

Memory: 31.7MiB live, 115.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 98 to 54 computations (44.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	33
1	33	31
2	92	26
3	255	25
4	490	25
5	598	25
6	619	25
0	4	5
0	6	5
1	9	5
2	14	5
3	24	5
4	38	5
5	60	5
6	126	5
7	224	5
8	272	5
9	277	5
0	277	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	9	10
2	14	10
3	24	10
4	38	10
5	60	10
6	126	10
7	224	10
8	272	10
9	277	10
0	277	10

Iter	Nodes	Cost
0	8	26
0	10	26
1	20	26
2	31	26
3	48	26
4	65	26
5	94	26
6	153	26
7	257	26
8	281	26
9	281	26
0	281	26

Iter	Nodes	Cost
0	12	33
1	33	31
2	92	26
3	255	25
4	490	25
5	598	25
6	619	25
0	4	5
0	6	5
1	9	5
2	14	5
3	24	5
4	38	5
5	60	5
6	126	5
7	224	5
8	272	5
9	277	5
0	277	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	9	10
2	14	10
3	24	10
4	38	10
5	60	10
6	126	10
7	224	10
8	272	10
9	277	10
0	277	10

Iter	Nodes	Cost
0	8	26
0	10	26
1	20	26
2	31	26
3	48	26
4	65	26
5	94	26
6	153	26
7	257	26
8	281	26
9	281	26
0	281	26

start0.0ms (0%)

analyze0.0ms (0%)

sample721.0ms (19.4%)

explain62.0ms (1.7%)

preprocess31.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (0.5%)

localize12.0ms (0.3%)

series4.0ms (0.1%)

simplify200.0ms (5.4%)

rewrite304.0ms (8.2%)

eval76.0ms (2.1%)

prune48.0ms (1.3%)

simplify11.0ms (0.3%)

localize46.0ms (1.3%)

series4.0ms (0.1%)

simplify179.0ms (4.8%)

rewrite193.0ms (5.2%)

eval68.0ms (1.8%)

prune65.0ms (1.8%)

simplify12.0ms (0.3%)

localize18.0ms (0.5%)

series4.0ms (0.1%)

simplify195.0ms (5.3%)

rewrite256.0ms (6.9%)

eval43.0ms (1.2%)

prune11.0ms (0.3%)

regimes28.0ms (0.8%)

regimes8.0ms (0.2%)

regimes18.0ms (0.5%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch37.0ms (1%)

simplify51.0ms (1.4%)

soundness841.0ms (22.6%)

preprocess138.0ms (3.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	33
1	33	31
2	92	26
3	255	25
4	490	25
5	598	25
6	619	25
0	4	5
0	6	5
1	9	5
2	14	5
3	24	5
4	38	5
5	60	5
6	126	5
7	224	5
8	272	5
9	277	5
0	277	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	9	10
2	14	10
3	24	10
4	38	10
5	60	10
6	126	10
7	224	10
8	272	10
9	277	10
0	277	10

Iter	Nodes	Cost
0	8	26
0	10	26
1	20	26
2	31	26
3	48	26
4	65	26
5	94	26
6	153	26
7	257	26
8	281	26
9	281	26
0	281	26