Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample726.0ms (14.8%)

Memory

5.2MiB live, 880.2MiB allocated

Samples

438.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-add: 123.0ms (53.2% of total)

ival-mult: 100.0ms (43.2% of total)

ival-true: 5.0ms (2.2% of total)

ival-assert: 4.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain97.0ms (2%)

Memory

15.0MiB live, 139.4MiB allocated

FPErrors

Click to see full error table

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

33.0ms

512×

valid

Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions

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

ival-add: 4.0ms (45.1% of total)

ival-mult: 4.0ms (45.1% of total)

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

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

preprocess35.0ms (0.7%)

Memory

2.3MiB live, 38.9MiB allocated

Algorithm

1×	egg-herbie

Rules

178×	`sub-neg`
170×	`cancel-sign-sub-inv`
156×	`unsub-neg`
138×	`distribute-rgt-in`
120×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	51	38
2	164	35
3	558	35
4	1126	35
5	1291	35
6	1297	35
0	5	7
0	8	7
1	13	7
2	23	7
3	30	7
4	38	7
5	44	7
6	54	7
7	60	7
8	64	7
0	64	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(+.f64 (+.f64 (*.f64 x y) x) y)
cost-diff	128	(+.f64 (*.f64 x y) x)

Rules

76×	`lower-fma.f64`
76×	`lower-fma.f32`
48×	`lower-*.f32`
46×	`lower-*.f64`
32×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	13	17
2	23	17
3	30	17
4	38	17
5	44	17
6	54	17
7	60	17
8	64	17
0	64	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.3%)

Memory

-1.7MiB live, 34.7MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

13.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 3.0ms (58.9% of total)

ival-mult: 2.0ms (39.3% of total)

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

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

series5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())

#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())

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

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

Calls

6 calls:

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

simplify172.0ms (3.5%)

Memory

-0.1MiB live, 153.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 312×	`lower-fma.f64`
8 312×	`lower-fma.f32`
3 168×	`lower-*.f64`
3 168×	`lower-*.f32`
2 488×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	332
1	131	332
2	333	332
3	942	332
4	2133	332
5	3036	332
6	3587	332
7	4298	332
8	4513	332
9	4656	332
10	5354	332
0	8413	289

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 69

Calls

Call 1

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

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

rewrite197.0ms (4%)

Memory

-10.1MiB live, 242.9MiB allocated

Rules

5 328×	`lower-fma.f64`
5 328×	`lower-fma.f32`
4 296×	`lower-*.f32`
4 294×	`lower-*.f64`
2 370×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	38	15
2	332	15
3	5289	15
0	8143	13

Stop Event

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

Counts

3 → 181

Calls

Call 1

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

Outputs
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eval55.0ms (1.1%)

Memory: -16.5MiB live, 57.5MiB allocated
Compiler: Compiled 4 891 to 555 computations (88.7% saved)

prune37.0ms (0.7%)

Memory

16.6MiB live, 55.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	247	3	250
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	248	3	251

Accuracy

100.0%

Counts

251 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
▶	66.0%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
▶	57.4%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify6.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

76×	`lower-fma.f32`
70×	`lower-fma.f64`
48×	`lower-*.f64`
48×	`lower-*.f32`
32×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	18	46
1	33	46
2	45	46
3	51	46
4	61	46
5	67	46
6	71	46
0	71	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.8%)

Memory

-9.6MiB live, 39.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
accuracy	0	(fma.f64 y x y)
accuracy	21.757568446861203	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
accuracy	0	(fma.f64 y x x)
accuracy	27.289423180453046	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))

Samples

20.0ms

256×

valid

Compiler

Compiled 43 to 14 computations (67.4% saved)

Precisions

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

ival-add: 6.0ms (50.7% of total)

ival-mult: 5.0ms (42.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (+ (* x y) x) y) (+ (* y x) x) (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1))
1.0ms	y	@	-inf	((+ (+ (* x y) x) y) (+ (* y x) x) (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1))
1.0ms	x	@	inf	((+ (+ (* x y) x) y) (+ (* y x) x) (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1))
0.0ms	y	@	0	((+ (+ (* x y) x) y) (+ (* y x) x) (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1))
0.0ms	y	@	inf	((+ (+ (* x y) x) y) (+ (* y x) x) (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1))

simplify497.0ms (10.2%)

Memory

-16.9MiB live, 137.6MiB allocated

Algorithm

1×	egg-herbie

Rules

29 368×	`lower-fma.f64`
29 368×	`lower-fma.f32`
3 356×	`lower-*.f64`
3 356×	`lower-*.f32`
2 524×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	698
1	182	698
2	465	698
3	1205	698
4	2732	698
5	3560	698
6	3956	698
7	4242	698
8	4392	698
9	4480	698
0	8407	590

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 122

Calls

Call 1

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

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

rewrite213.0ms (4.3%)

Memory

1.1MiB live, 111.8MiB allocated

Rules

11 386×	`lower-fma.f32`
11 380×	`lower-fma.f64`
5 370×	`lower-*.f64`
5 370×	`lower-*.f32`
3 920×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
0	18	39
1	99	39
2	692	39
0	8221	39

Stop Event

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

Counts

6 → 412

Calls

Call 1

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

Outputs
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eval225.0ms (4.6%)

Memory: 1.1MiB live, 159.3MiB allocated
Compiler: Compiled 10 072 to 1 208 computations (88% saved)

prune274.0ms (5.6%)

Memory

-1.7MiB live, 217.3MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	532	2	534
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	532	5	537

Accuracy

100.0%

Counts

537 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
▶	78.1%	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
✓	66.0%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	57.4%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
▶	24.4%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify7.0ms (0.2%)

Memory

-19.2MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

88×	`lower-fma.f32`
86×	`lower-fma.f64`
64×	`lower-*.f32`
62×	`lower-*.f64`
36×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
0	17	47
1	30	47
2	38	47
3	41	47
4	53	47
5	53	47
6	73	47
7	76	47
8	78	47
0	78	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.5%)

Memory

31.1MiB live, 69.7MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
accuracy	28.310481178118195	#s(approx (+ x 1) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	21.757568446861203	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
accuracy	34.76042809736374	#s(approx (+ (* y x) y) (*.f64 y x))

Samples

19.0ms

256×

valid

Compiler

Compiled 32 to 13 computations (59.4% saved)

Precisions

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

ival-mult: 6.0ms (51.4% of total)

ival-add: 5.0ms (42.9% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (1%)

Memory

-25.6MiB live, 13.2MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	x	@	-inf	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (* (+ x 1) y) x) (+ x 1))
1.0ms	y	@	-inf	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (* (+ x 1) y) x) (+ x 1))
0.0ms	y	@	inf	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (* (+ x 1) y) x) (+ x 1))
0.0ms	x	@	inf	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (* (+ x 1) y) x) (+ x 1))
0.0ms	y	@	0	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (* (+ x 1) y) x) (+ x 1))

simplify334.0ms (6.8%)

Memory

2.5MiB live, 277.9MiB allocated

Algorithm

1×	egg-herbie

Rules

29 368×	`lower-fma.f64`
29 368×	`lower-fma.f32`
3 356×	`lower-*.f64`
3 356×	`lower-*.f32`
2 524×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	510
1	164	510
2	435	510
3	1187	510
4	2706	510
5	3498	510
6	3894	510
7	4177	510
8	4326	510
9	4412	510
0	8340	445

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 101

Calls

Call 1

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

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

rewrite200.0ms (4.1%)

Memory

14.1MiB live, 220.0MiB allocated

Rules

9 148×	`lower-fma.f32`
9 146×	`lower-fma.f64`
5 880×	`lower-*.f32`
5 878×	`lower-*.f64`
4 372×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
0	17	42
1	90	42
2	648	42
0	8313	39

Stop Event

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

Counts

5 → 75

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval20.0ms (0.4%)

Memory: 1.1MiB live, 48.2MiB allocated
Compiler: Compiled 2 522 to 227 computations (91% saved)

prune15.0ms (0.3%)

Memory

3.0MiB live, 41.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	176	5	181

Accuracy

100.0%

Counts

181 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
✓	78.1%	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
✓	66.0%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	57.4%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
✓	24.4%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes11.0ms (0.2%)

Memory

-11.1MiB live, 27.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes9.0ms (0.2%)

Memory

-17.2MiB live, 21.8MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes7.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	3	`x`
99.8%	3	`y`
98.6%	2	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
57.4%	1	`x`
57.4%	1	`y`
57.4%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes7.0ms (0.1%)

Memory

-28.0MiB live, 16.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Outputs
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Calls

3 calls:

4.0ms	y
1.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
1.0ms	x

Results

Accuracy	Segments	Branch
24.4%	1	`x`
24.4%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`
24.4%	1	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8957379316061618e-266	1.3643532415921355e-276

Compiler

Compiled 10 to 10 computations (0% saved)

simplify41.0ms (0.8%)

Memory

-2.3MiB live, 76.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative-binary64-+.f64`
2×	`1-exp-binary32-exp.f32`
2×	`-commutative-binary64-.f64`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	76
1	30	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (+.f64 (*.f64 y x) x) y)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(fma.f64 (+.f64 #s(literal 1 binary64) x) y x)
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)))
(if (<=.f64 (+.f64 (+.f64 (.f64 y x) x) y) #s(literal -1452164949685335/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

soundness1.4s (28.3%)

Memory

2.2MiB live, 437.8MiB allocated

Rules

29 368×	`lower-fma.f64`
29 368×	`lower-fma.f32`
8 312×	`lower-fma.f64`
8 312×	`lower-fma.f32`
5 328×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	698
1	182	698
2	465	698
3	1205	698
4	2732	698
5	3560	698
6	3956	698
7	4242	698
8	4392	698
9	4480	698
0	8407	590
0	41	332
1	131	332
2	333	332
3	942	332
4	2133	332
5	3036	332
6	3587	332
7	4298	332
8	4513	332
9	4656	332
10	5354	332
0	8413	289
0	5	15
0	8	15
1	38	15
2	332	15
3	5289	15
0	8143	13

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

Compiler

Compiled 72 to 39 computations (45.8% saved)

preprocess171.0ms (3.5%)

Memory: 6.8MiB live, 85.4MiB allocated
Remove: (sort x y)
Compiler: Compiled 142 to 74 computations (47.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample726.0ms (14.8%)

explain97.0ms (2%)

preprocess35.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize17.0ms (0.3%)

series5.0ms (0.1%)

simplify172.0ms (3.5%)

rewrite197.0ms (4%)

eval55.0ms (1.1%)

prune37.0ms (0.7%)

simplify6.0ms (0.1%)

localize39.0ms (0.8%)

series7.0ms (0.1%)

simplify497.0ms (10.2%)

rewrite213.0ms (4.3%)

eval225.0ms (4.6%)

prune274.0ms (5.6%)

simplify7.0ms (0.2%)

localize25.0ms (0.5%)

series47.0ms (1%)

simplify334.0ms (6.8%)

rewrite200.0ms (4.1%)

eval20.0ms (0.4%)

prune15.0ms (0.3%)

regimes11.0ms (0.2%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

simplify41.0ms (0.8%)

soundness1.4s (28.3%)

preprocess171.0ms (3.5%)

end0.0ms (0%)

Profiling