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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample812.0ms (19.6%)

Memory

38.1MiB live, 721.8MiB allocated

Samples

541.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-mult: 150.0ms (62% of total)

ival-sub: 83.0ms (34.3% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain64.0ms (1.5%)

Memory

-6.6MiB live, 105.3MiB 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

35.0ms

512×

valid

Compiler

Compiled 31 to 16 computations (48.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (77.6% of total)

ival-sub: 2.0ms (17.2% of total)

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

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

preprocess39.0ms (0.9%)

Memory

9.5MiB live, 88.0MiB 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 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify10.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB 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

localize16.0ms (0.4%)

Memory

-8.1MiB live, 28.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(-.f64 (*.f64 x y) x)

Samples

12.0ms

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 (62.7% of total)

ival-sub: 1.0ms (31.3% of total)

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

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

series3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB 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 (* 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 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 (* -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 (* -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 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 (.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 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) (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 (* 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 (* 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 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 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>) () ())) ())

Calls

12 calls:

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

simplify178.0ms (4.3%)

Memory

0.2MiB live, 147.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 552×	`lower-fma.f64`
3 552×	`lower-fma.f32`
2 016×	`lower-*.f64`
2 016×	`lower-*.f32`
1 728×	`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	1844	185
6	3110	185
7	3571	185
8	3845	185
9	4015	185
10	4049	185
11	4619	185
12	5889	185
13	6711	185
14	7040	185
15	7124	185
16	7124	185
17	7616	185
0	8052	185

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite236.0ms (5.7%)

Memory

37.6MiB live, 371.2MiB 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 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y x x) (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x x)) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x x))))
(.f64 (pow.f64 (/.f64 (fma.f64 y x x) (.f64 (.f64 (fma.f64 (.f64 y y) y #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (.f64 (fma.f64 (.f64 y y) y #s(literal 1 binary64)) (.f64 (.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (.f64 (.f64 (fma.f64 (.f64 y y) y #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (.f64 (fma.f64 (.f64 y y) y #s(literal 1 binary64)) (.f64 (.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y y) y #s(literal 1 binary64)) (.f64 (.f64 x x) x))))
(.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 (.f64 (.f64 x x) y) x) (.f64 y x))) (.f64 (.f64 (.f64 y y) x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 (.f64 y y) y #s(literal 1 binary64)) (.f64 (.f64 x x) x))))))
(.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 (fma.f64 (.f64 y y) y #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (.f64 (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 (fma.f64 y x x)))))) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 (fma.f64 y x x)))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) y #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 (.f64 (.f64 y y) y) x)) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 y x x) x) (.f64 (fma.f64 y x x) x)) (.f64 (fma.f64 y x x) x)))) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (fma.f64 y x x) x) (fma.f64 (fma.f64 y x x) x (neg.f64 (.f64 (.f64 (*.f64 y y) x) x))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (pow.f64 (/.f64 x (.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (.f64 (.f64 x x) x) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))))
(-.f64 (*.f64 y x) x)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) x))) #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 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (neg.f64 (/.f64 (.f64 (.f64 x x) x) (.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 (.f64 (.f64 (.f64 y y) x) x) #s(literal 0 binary64)) (.f64 y x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 y y) x) x (+.f64 #s(literal 0 binary64) (.f64 (*.f64 y x) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 y y) x) x (-.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))

eval294.0ms (7.1%)

Memory: -44.7MiB live, 128.6MiB allocated
Compiler: Compiled 11 863 to 695 computations (94.1% saved)

prune48.0ms (1.2%)

Memory

-9.7MiB live, 111.7MiB 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))
▶	49.5%	#s(approx (- (* x y) x) (neg.f64 x))

Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify12.0ms (0.3%)

Memory

-16.2MiB live, 23.0MiB 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)

localize48.0ms (1.2%)

Memory

16.9MiB live, 55.4MiB 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	30.224504308432937	#s(approx (- (* x y) x) (*.f64 y x))
accuracy	0	(neg.f64 x)
accuracy	32.301438531402695	#s(approx (- (* x y) x) (neg.f64 x))

Samples

14.0ms

256×

valid

Compiler

Compiled 30 to 9 computations (70% saved)

Precisions

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

ival-mult: 3.0ms (42.6% of total)

ival-sub: 1.0ms (14.2% of total)

ival-add: 1.0ms (14.2% of total)

ival-neg: 1.0ms (14.2% of total)

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

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

series3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB 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 (* 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 (* 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 (+ 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 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 (* 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) (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 (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 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 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 (* -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 (* -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 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 #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 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 (* 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 (.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 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) (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) (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) (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 (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 (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 (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 (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 (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

27 calls:

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

simplify216.0ms (5.2%)

Memory

1.4MiB live, 121.3MiB 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	20	435
1	64	435
2	149	435
3	276	435
4	599	435
5	1844	435
6	3110	435
7	3571	435
8	3845	435
9	4015	435
10	4049	435
11	4619	435
12	5889	435
13	6711	435
14	7040	435
15	7124	435
16	7124	435
17	7616	435
0	8052	435

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite410.0ms (9.9%)

Memory

-8.3MiB live, 276.1MiB 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 (.f64 (.f64 x x) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
(*.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 (/.f64 #s(literal 1 binary64) x) #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) (/.f64 #s(literal 1 binary64) x)) x) (.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) #s(literal 0 binary64)))) (.f64 (.f64 (.f64 x x) x) x)) (.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)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (*.f64 x x) x))
(/.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) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)) x)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) #s(literal 0 binary64)))) (.f64 (.f64 (.f64 x x) x) (.f64 x x))) (.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)) (.f64 (.f64 (.f64 x x) x) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (*.f64 x x) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (.f64 x x) x) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x x) x) (*.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 (.f64 (.f64 x x) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) #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 (.f64 (.f64 x x) x))) (.f64 x x))
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(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 (.f64 (.f64 x x) x) (.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 (.f64 (.f64 y y) y) (/.f64 (.f64 (.f64 x x) x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (neg.f64 (/.f64 (.f64 (.f64 x x) x) (.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 (.f64 (.f64 x x) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 y x))
(fma.f64 (.f64 (.f64 x x) x) (/.f64 (.f64 (.f64 y y) y) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (neg.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))))
(fma.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 y x))
(fma.f64 (.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #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) (/.f64 #s(literal 1 binary64) x) (.f64 y x))
(fma.f64 (.f64 (.f64 (.f64 y y) x) x) (/.f64 (.f64 y x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (neg.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x))))))
(fma.f64 (.f64 (.f64 (*.f64 y y) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (neg.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))))))
(fma.f64 (.f64 y x) (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (neg.f64 (/.f64 (.f64 (.f64 x x) x) (.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 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (/.f64 (.f64 (.f64 x x) x) (.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 (/.f64 #s(literal 1 binary64) (fma.f64 y x x))) #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 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) (.f64 x (fma.f64 (.f64 y y) x (fma.f64 y x x)))) (neg.f64 (/.f64 (.f64 (.f64 x x) x) (.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))

eval175.0ms (4.2%)

Memory: 7.5MiB live, 164.3MiB allocated
Compiler: Compiled 13 041 to 1 061 computations (91.9% saved)

prune304.0ms (7.3%)

Memory

-20.6MiB live, 219.5MiB 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))
▶	2.6%	#s(approx (- (* x y) x) (*.f64 (neg.f64 y) x))
✓	52.8%	#s(approx (- (* x y) x) (*.f64 y x))
✓	49.5%	#s(approx (- (* x y) x) (neg.f64 x))
▶	3.0%	#s(approx (- (* x y) x) x)

Compiler

Compiled 29 to 16 computations (44.8% saved)

simplify13.0ms (0.3%)

Memory

-10.3MiB live, 34.0MiB 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

localize26.0ms (0.6%)

Memory

10.1MiB live, 49.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	62.35493195805026	#s(approx (- (* x y) x) (*.f64 (neg.f64 y) x))
accuracy	62.10740240163837	#s(approx (- (* x y) x) x)

Samples

19.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

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

ival-mult: 7.0ms (77.6% of total)

ival-sub: 1.0ms (11.1% of total)

ival-neg: 1.0ms (11.1% of total)

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

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

series3.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB 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 (* 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 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 (* -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) (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 (* 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) 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 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 (* 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 (+ 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) (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 (* 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 (* 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 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 (* 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 (* 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 (* 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 (* -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 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 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())

Calls

21 calls:

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

simplify184.0ms (4.4%)

Memory

15.2MiB live, 173.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	346
1	67	346
2	150	346
3	283	346
4	635	346
5	1894	346
6	3188	346
7	3658	346
8	3932	346
9	4102	346
10	4136	346
11	4694	346
12	5964	346
13	6786	346
14	7116	346
15	7198	346
16	7198	346
17	7690	346
0	8126	346

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite147.0ms (3.6%)

Memory

2.2MiB live, 279.7MiB 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) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (.f64 (.f64 y y) (neg.f64 y)) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (.f64 x (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 x (.f64 (.f64 y y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (neg.f64 (.f64 (.f64 (.f64 y y) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(.f64 (neg.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) x) x #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 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)))) (neg.f64 (fma.f64 (.f64 (*.f64 y y) x) x #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) x)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (neg.f64 y)) x)) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (.f64 x (.f64 (neg.f64 y) y))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 x (.f64 (.f64 y y) (neg.f64 y)))) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 y y) x) x))) (.f64 (neg.f64 y) x))
(/.f64 (.f64 (.f64 (neg.f64 y) y) x) y)
(/.f64 (.f64 (.f64 (.f64 y y) (neg.f64 y)) x) (.f64 y y))
(/.f64 (.f64 x (.f64 (neg.f64 y) y)) y)
(/.f64 (.f64 x (.f64 (.f64 y y) (neg.f64 y))) (.f64 y y))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) x) x)) (.f64 y x))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y))) (fma.f64 (.f64 (*.f64 y y) x) x #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 (.f64 (.f64 y y) (neg.f64 y)) 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 (.f64 (.f64 y y) (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y x) (neg.f64 (.f64 (.f64 (.f64 y y) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 y y) x) x #s(literal 0 binary64)) (neg.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (*.f64 x x) y)))))
(/.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 (.f64 (.f64 (.f64 y y) x) x) (*.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 y y) x) x #s(literal 0 binary64))) (/.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 x x) y)) (fma.f64 (.f64 (*.f64 y y) x) x #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) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (.f64 (.f64 y y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (.f64 (.f64 y y) y) (/.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 (.f64 y y) (neg.f64 y) #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) (.f64 (.f64 y y) y))) (.f64 (.f64 y y) (*.f64 y y)))
(/.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 (.f64 (.f64 y y) (neg.f64 y)) (*.f64 y y))
(/.f64 (.f64 (.f64 y y) y) (*.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) (/.f64 #s(literal 1 binary64) y) #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 (.f64 (.f64 y y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 y y) y) (/.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))

eval16.0ms (0.4%)

Memory: 9.7MiB live, 49.0MiB allocated
Compiler: Compiled 1 315 to 162 computations (87.7% saved)

prune15.0ms (0.4%)

Memory

-31.2MiB live, 47.6MiB 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))
✓	2.6%	#s(approx (- (* x y) x) (*.f64 (neg.f64 y) x))
✓	52.8%	#s(approx (- (* x y) x) (*.f64 y x))
✓	49.5%	#s(approx (- (* x y) x) (neg.f64 x))
✓	3.0%	#s(approx (- (* x y) x) x)

Compiler

Compiled 55 to 25 computations (54.5% saved)

regimes9.0ms (0.2%)

Memory

30.1MiB live, 30.1MiB 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:

3.0ms	y
3.0ms	x
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 13 to 8 computations (38.5% saved)

regimes40.0ms (1%)

Memory

-45.2MiB live, 64.5MiB 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:

34.0ms	(-.f64 (*.f64 x y) x)
3.0ms	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 13 to 8 computations (38.5% saved)

regimes8.0ms (0.2%)

Memory

-14.7MiB live, 25.0MiB 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:

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

Results

Accuracy	Segments	Branch
60.5%	4	`x`
98.4%	3	`y`
80.2%	3	`(-.f64 (*.f64 x y) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB 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
49.5%	1	`x`
49.5%	1	`(-.f64 (*.f64 x y) x)`
49.5%	1	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB 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
3.0%	1	`(-.f64 (*.f64 x y) x)`
3.0%	1	`x`
3.0%	1	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch20.0ms (0.5%)

Memory

-28.3MiB live, 52.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.7003580823929396	85.36910860856587
10.0ms	-1164762192.437463	-8.444911387713353e-5

Samples

8.0ms

272×

valid

Compiler

Compiled 231 to 145 computations (37.2% saved)

Precisions

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

ival-mult: 2.0ms (58.7% of total)

ival-sub: 1.0ms (29.3% of total)

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

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

simplify7.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

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)

soundness744.0ms (18%)

Memory

-14.0MiB live, 465.5MiB 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	4	8
0	6	8
1	22	8
2	155	8
3	1579	8
0	8590	8
0	20	185
1	64	185
2	149	185
3	276	185
4	599	185
5	1844	185
6	3110	185
7	3571	185
8	3845	185
9	4015	185
10	4049	185
11	4619	185
12	5889	185
13	6711	185
14	7040	185
15	7124	185
16	7124	185
17	7616	185
0	8052	185
0	9	27
0	12	27
1	49	27
2	305	22
3	3546	22
0	8357	22

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 70 to 33 computations (52.9% saved)

preprocess35.0ms (0.9%)

Memory: -2.4MiB live, 115.6MiB allocated
Remove: (negabs x)
Compiler: Compiled 114 to 48 computations (57.9% 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%)

sample812.0ms (19.6%)

explain64.0ms (1.5%)

preprocess39.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.2%)

localize16.0ms (0.4%)

series3.0ms (0.1%)

simplify178.0ms (4.3%)

rewrite236.0ms (5.7%)

eval294.0ms (7.1%)

prune48.0ms (1.2%)

simplify12.0ms (0.3%)

localize48.0ms (1.2%)

series3.0ms (0.1%)

simplify216.0ms (5.2%)

rewrite410.0ms (9.9%)

eval175.0ms (4.2%)

prune304.0ms (7.3%)

simplify13.0ms (0.3%)

localize26.0ms (0.6%)

series3.0ms (0.1%)

simplify184.0ms (4.4%)

rewrite147.0ms (3.6%)

eval16.0ms (0.4%)

prune15.0ms (0.4%)

regimes9.0ms (0.2%)

regimes40.0ms (1%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch20.0ms (0.5%)

simplify7.0ms (0.2%)

soundness744.0ms (18%)

preprocess35.0ms (0.9%)

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