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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample428.0ms (13%)

Memory

-11.6MiB live, 1 024.2MiB allocated

Samples

257.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 67.0ms (59.3% of total)

ival-sub: 37.0ms (32.8% of total)

ival-true: 6.0ms (5.3% of total)

ival-assert: 3.0ms (2.7% of total)

Bogosity

explain47.0ms (1.4%)

Memory

9.3MiB live, 127.8MiB 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

17.0ms

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 (61.1% of total)

ival-sub: 2.0ms (30.5% of total)

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

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

preprocess33.0ms (1%)

Memory

-20.0MiB live, 64.9MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.0MiB live, 2.0MiB 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)

simplify12.0ms (0.4%)

Memory

-0.3MiB live, 38.6MiB 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

localize13.0ms (0.4%)

Memory

-6.4MiB live, 32.7MiB 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

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 (63.8% of total)

ival-sub: 1.0ms (31.9% of total)

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

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

series4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB 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))

simplify179.0ms (5.4%)

Memory

25.4MiB live, 143.0MiB 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)

rewrite332.0ms (10.1%)

Memory

11.0MiB live, 243.9MiB 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 (hypot.f64 (*.f64 y x) x) #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 (fma.f64 (.f64 x x) (hypot.f64 (.f64 y x) x) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) y (hypot.f64 (.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 (fma.f64 (.f64 x x) y (hypot.f64 (.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)))) (-.f64 (hypot.f64 (.f64 y x) x) (.f64 (.f64 x x) y)))
(.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 (hypot.f64 (*.f64 y x) x) #s(literal -1 binary64)))
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(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (hypot.f64 (.f64 y x) x)) (fma.f64 y x x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 (*.f64 y x) x)) (fma.f64 y x x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (fma.f64 (.f64 x x) (hypot.f64 (.f64 y x) x) (pow.f64 (.f64 y x) #s(literal 4 binary64)))) (fma.f64 y x x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (hypot.f64 (.f64 y x) x) (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)))) (fma.f64 (.f64 x x) y (hypot.f64 (.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)))) (fma.f64 (.f64 x x) y (hypot.f64 (*.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))))) (fma.f64 (.f64 x x) y (hypot.f64 (.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))))) (fma.f64 (.f64 x x) y (hypot.f64 (*.f64 y x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 x x) y (hypot.f64 (.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)) (fma.f64 (.f64 x x) y (hypot.f64 (.f64 y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) y (hypot.f64 (*.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)) (fma.f64 (.f64 x x) y (hypot.f64 (.f64 y x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) y (hypot.f64 (*.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))

eval75.0ms (2.3%)

Memory: -6.8MiB live, 66.6MiB allocated
Compiler: Compiled 7 770 to 686 computations (91.2% saved)

prune37.0ms (1.1%)

Memory

-19.5MiB live, 20.0MiB 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))
▶	48.9%	#s(approx (- (* x y) x) (*.f64 y x))
▶	53.8%	#s(approx (- (* x y) x) (neg.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

simplify11.0ms (0.3%)

Memory

13.5MiB live, 13.5MiB 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)

localize36.0ms (1.1%)

Memory

-22.9MiB live, 31.3MiB 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	32.73016262778339	#s(approx (- (* x y) x) (*.f64 y x))
accuracy	0	(neg.f64 x)
accuracy	29.595494498734254	#s(approx (- (* x y) x) (neg.f64 x))

Samples

30.0ms

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 (61% of total)

ival-sub: 1.0ms (12.2% of total)

ival-add: 1.0ms (12.2% of total)

ival-neg: 1.0ms (12.2% of total)

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

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

series4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB 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)))

simplify213.0ms (6.5%)

Memory

16.9MiB live, 130.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

rewrite187.0ms (5.7%)

Memory

10.3MiB live, 167.2MiB 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))))
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(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)) (fma.f64 (.f64 x x) y (hypot.f64 (.f64 y x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) y (hypot.f64 (.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)) (fma.f64 (.f64 x x) y (hypot.f64 (.f64 y x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) y (hypot.f64 (.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)) (fma.f64 (.f64 x x) y (hypot.f64 (.f64 y x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) y (hypot.f64 (.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) (fma.f64 (.f64 x x) y (hypot.f64 (.f64 y x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) y (hypot.f64 (.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 (fma.f64 (.f64 x x) y (hypot.f64 (.f64 y x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) y (hypot.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 y x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 x x) y (hypot.f64 (.f64 y x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) y (hypot.f64 (.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)) (fma.f64 (.f64 x x) y (hypot.f64 (.f64 y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) y (hypot.f64 (*.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)) (fma.f64 (.f64 x x) y (hypot.f64 (.f64 y x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) y (hypot.f64 (*.f64 y x) x)))))
(+.f64 #s(literal 0 binary64) (fma.f64 y x x))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))

eval120.0ms (3.6%)

Memory: 0.8MiB live, 118.3MiB allocated
Compiler: Compiled 10 376 to 1 171 computations (88.7% saved)

prune41.0ms (1.3%)

Memory

-4.5MiB live, 32.7MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	598	1	599
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	598	4	602

Accuracy

100.0%

Counts

602 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (neg.f64 x))
✓	48.9%	#s(approx (- (* x y) x) (*.f64 y x))
✓	53.8%	#s(approx (- (* x y) x) (neg.f64 x))
▶	2.9%	#s(approx (- (* x y) x) x)

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify11.0ms (0.3%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	5	8
1	8	8
2	13	8
3	23	8
4	38	8
5	60	8
6	126	8
7	224	8
8	272	8
9	277	8
0	277	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

localize36.0ms (1.1%)

Memory

-31.1MiB live, 14.1MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	62.16965961499291	#s(approx (- (* x y) x) x)

Samples

32.0ms

256×

valid

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

ival-mult: 2.0ms (63.3% of total)

ival-sub: 1.0ms (31.6% of total)

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

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

series2.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

1 → 24

Calls

Call 1

Inputs
#s(alt #s(approx (- (* x y) x) x) (patch #s(approx (- (* x y) x) x) #<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 (* 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) 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>) () ())) ())

Calls

6 calls:

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

simplify190.0ms (5.8%)

Memory

15.7MiB live, 90.5MiB 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	113
1	64	113
2	149	113
3	276	113
4	599	113
5	1806	113
6	3066	113
7	3528	113
8	3809	113
9	3979	113
10	4013	113
11	4545	113
12	5815	113
13	6637	113
14	6968	113
15	7046	113
16	7046	113
17	7538	113
0	8070	113

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(* -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
(* -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)
(* -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))
(* 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))

rewrite209.0ms (6.3%)

Memory

22.1MiB live, 179.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	5	7
1	21	7
2	154	7
3	1576	7
0	8543	7

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

1 → 1

Calls

Call 1

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

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

eval23.0ms (0.7%)

Memory: -34.2MiB live, 4.9MiB allocated
Compiler: Compiled 139 to 9 computations (93.5% saved)

prune3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	25	4	29

Accuracy

100.0%

Counts

29 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (neg.f64 x))
✓	48.9%	#s(approx (- (* x y) x) (*.f64 y x))
✓	53.8%	#s(approx (- (* x y) x) (neg.f64 x))
✓	2.9%	#s(approx (- (* x y) x) x)

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes8.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB 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))
(-.f64 (*.f64 x y) x)
(fma.f64 y x (neg.f64 x))

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

Calls

3 calls:

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

regimes10.0ms (0.3%)

Memory

-34.9MiB live, 15.1MiB allocated

Counts

4 → 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))
(-.f64 (*.f64 x y) x)

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

Calls

3 calls:

5.0ms	y
2.0ms	x
2.0ms	(-.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)

regimes6.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

3 → 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))

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:

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

Results

Accuracy	Segments	Branch
57.6%	3	`x`
98.6%	3	`y`
82.3%	3	`(-.f64 (*.f64 x y) x)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB 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	x
2.0ms	y
2.0ms	(-.f64 (*.f64 x y) x)

Results

Accuracy	Segments	Branch
53.8%	1	`x`
53.8%	1	`(-.f64 (*.f64 x y) x)`
53.8%	1	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes4.0ms (0.1%)

Memory

12.4MiB live, 12.3MiB 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	y
1.0ms	x
1.0ms	(-.f64 (*.f64 x y) x)

Results

Accuracy	Segments	Branch
2.9%	1	`x`
2.9%	1	`y`
2.9%	1	`(-.f64 (*.f64 x y) x)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch63.0ms (1.9%)

Memory

-35.8MiB live, 42.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.030157655528055986	114977279411913090.0
11.0ms	-12424.267908188818	-0.08626711086427225

Samples

9.0ms

304×

valid

Compiler

Compiled 141 to 199 computations (-41.1% saved)

Precisions

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

ival-mult: 2.0ms (51.2% of total)

ival-sub: 1.0ms (25.6% of total)

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

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

simplify27.0ms (0.8%)

Memory

23.3MiB live, 62.0MiB 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)

soundness847.0ms (25.7%)

Memory

-3.5MiB live, 305.3MiB 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	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	9	27
0	12	27
1	49	27
2	305	22
3	3546	22
0	8357	22
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×	iter limit
1×	node limit

Compiler

Compiled 56 to 37 computations (33.9% saved)

preprocess83.0ms (2.5%)

Memory: 2.4MiB live, 124.1MiB 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	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

start0.0ms (0%)

analyze0.0ms (0%)

sample428.0ms (13%)

explain47.0ms (1.4%)

preprocess33.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify12.0ms (0.4%)

localize13.0ms (0.4%)

series4.0ms (0.1%)

simplify179.0ms (5.4%)

rewrite332.0ms (10.1%)

eval75.0ms (2.3%)

prune37.0ms (1.1%)

simplify11.0ms (0.3%)

localize36.0ms (1.1%)

series4.0ms (0.1%)

simplify213.0ms (6.5%)

rewrite187.0ms (5.7%)

eval120.0ms (3.6%)

prune41.0ms (1.3%)

simplify11.0ms (0.3%)

localize36.0ms (1.1%)

series2.0ms (0.1%)

simplify190.0ms (5.8%)

rewrite209.0ms (6.3%)

eval23.0ms (0.7%)

prune3.0ms (0.1%)

regimes8.0ms (0.2%)

regimes10.0ms (0.3%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch63.0ms (1.9%)

simplify27.0ms (0.8%)

soundness847.0ms (25.7%)

preprocess83.0ms (2.5%)

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