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

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample827.0ms (11.7%)

Memory

-1.4MiB live, 633.0MiB allocated

Samples

487.0ms	8 254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 265.0ms

ival-mult: 143.0ms (53.9% of total)

ival-add: 115.0ms (43.3% of total)

ival-true: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain73.0ms (1%)

Memory

29.8MiB live, 146.8MiB 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

21.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions

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

ival-add: 5.0ms (52.9% of total)

ival-mult: 4.0ms (42.3% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess36.0ms (0.5%)

Memory

-14.1MiB live, 65.3MiB 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

1.8MiB live, 1.8MiB 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

9.7MiB live, 9.7MiB 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

localize15.0ms (0.2%)

Memory

-1.5MiB live, 37.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-add: 2.0ms (49% of total)

ival-mult: 2.0ms (49% of total)

adjust: 0.0ms (0% of total)

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

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

series6.0ms (0.1%)

Memory

-26.1MiB live, 13.2MiB 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
2.0ms	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))
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))

simplify153.0ms (2.2%)

Memory

21.8MiB live, 177.7MiB 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)

rewrite169.0ms (2.4%)

Memory

8.2MiB live, 290.2MiB 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
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 x (.f64 y x)) x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 y x)) x) (-.f64 (.f64 (-.f64 x (.f64 y x)) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (fma.f64 y x x))
(*.f64 (+.f64 #s(literal 1 binary64) y) x)
(.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x))) (pow.f64 (-.f64 x (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))))
(.f64 (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (pow.f64 (neg.f64 (-.f64 (.f64 y x) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (.f64 (fma.f64 y x x) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 y x x) (/.f64 (-.f64 (.f64 y x) x) (-.f64 (*.f64 y x) x)))
(.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (-.f64 x (.f64 y x)) (.f64 x (-.f64 x (.f64 (.f64 y y) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))) (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 x (-.f64 (.f64 y x) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x)))) (neg.f64 (-.f64 x (.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (-.f64 (.f64 y x) x)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 y x) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 (-.f64 (.f64 y x) x) (.f64 x x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 (.f64 y x) x) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (.f64 y x) x) (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x))) (-.f64 x (.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y x)) (.f64 x (-.f64 x (.f64 (.f64 y y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 y x) x)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))))
(/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (-.f64 (*.f64 y x) x))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))
(neg.f64 (neg.f64 (fma.f64 y x x)))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (fma.f64 y x x) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x)))))
(fma.f64 (.f64 y y) (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 y x x)
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 x y x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 x (.f64 y x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 x (-.f64 (.f64 y x) x))))
(exp.f64 (*.f64 (neg.f64 (+.f64 (log1p.f64 y) (log.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 y) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x)))))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 (fma.f64 y x x) y) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (*.f64 (-.f64 y (fma.f64 y x x)) y)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) (-.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (+.f64 (fma.f64 y x x) y))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 y x) x) y) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 y y) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (pow.f64 (-.f64 y (fma.f64 y x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (fma.f64 y x x) y) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))))
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(*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y x x) y))
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(fma.f64 x y (+.f64 y x))
(-.f64 (+.f64 y (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x))) (.f64 x (/.f64 x (-.f64 (.f64 y x) x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 y x) x) y)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 y x) x) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 y x x))) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 y (fma.f64 y x x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (-.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)) (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (fma.f64 y x x) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 y x y) x)
(+.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y)))))
(+.f64 (+.f64 y x) (*.f64 y x))
(+.f64 (fma.f64 y x x) y)
(+.f64 (*.f64 y x) (+.f64 y x))
(+.f64 y (fma.f64 y x x))
(+.f64 x (fma.f64 y x y))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))

eval31.0ms (0.4%)

Memory: 2.1MiB live, 83.1MiB allocated
Compiler: Compiled 4 891 to 555 computations (88.7% saved)

prune29.0ms (0.4%)

Memory

-23.4MiB live, 92.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	246	4	250
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	247	4	251

Accuracy

100.0%

Counts

251 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.4%	(fma.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) y)
▶	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
▶	64.3%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
▶	63.8%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify129.0ms (1.8%)

Memory

20.4MiB live, 260.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 y x) x)
cost-diff	0	(fma.f64 y x x)
cost-diff	192	(fma.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) y)
cost-diff	7808	(.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)))
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

12 790×	`lower-fma.f32`
12 782×	`lower-fma.f64`
3 226×	`lower-*.f32`
3 224×	`lower-*.f64`
2 616×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	102
0	29	75
1	53	75
2	111	75
3	255	75
4	1510	75
5	4457	75
0	8525	75

Stop Event

1×	iter limit
1×	node limit
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
(fma.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) y)
(fma.f64 y x x)
y
x
(.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))
#s(literal -1 binary64)

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

localize92.0ms (1.3%)

Memory

-22.3MiB live, 145.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) y)
accuracy	0.010097509768442016	(-.f64 (*.f64 y x) x)
accuracy	0.16547135577701627	(pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))
accuracy	9.162537546547327	(.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)))
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	22.85759935454492	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
accuracy	0	(fma.f64 y x x)
accuracy	23.167399394361425	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))

Samples

52.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 100 to 20 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-add: 8.0ms (38.9% of total)

ival-mult: 7.0ms (34.1% of total)

ival-pow: 3.0ms (14.6% of total)

ival-sub: 1.0ms (4.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

-6.8MiB live, 32.2MiB allocated

Counts

10 → 228

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((+ (+ (* x y) x) y) (+ (* y x) x) (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1) (* (- (* y x) x) (pow (- (* y x) x) -1)) (+ (* (+ (* y x) x) (* (- (* y x) x) (pow (- (* y x) x) -1))) y) (- (* y x) x) (pow (- (* 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) (* (- (* y x) x) (pow (- (* y x) x) -1)) (+ (* (+ (* y x) x) (* (- (* y x) x) (pow (- (* y x) x) -1))) y) (- (* y x) x) (pow (- (* y x) x) -1))
1.0ms	x	@	0	((+ (+ (* x y) x) y) (+ (* y x) x) (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1) (* (- (* y x) x) (pow (- (* y x) x) -1)) (+ (* (+ (* y x) x) (* (- (* y x) x) (pow (- (* y x) x) -1))) y) (- (* y x) x) (pow (- (* 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) (* (- (* y x) x) (pow (- (* y x) x) -1)) (+ (* (+ (* y x) x) (* (- (* y x) x) (pow (- (* y x) x) -1))) y) (- (* y x) x) (pow (- (* 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) (* (- (* y x) x) (pow (- (* y x) x) -1)) (+ (* (+ (* y x) x) (* (- (* y x) x) (pow (- (* y x) x) -1))) y) (- (* y x) x) (pow (- (* y x) x) -1))

simplify128.0ms (1.8%)

Memory

12.0MiB live, 169.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 476×	`lower-fma.f64`
7 476×	`lower-fma.f32`
2 930×	`lower-*.f64`
2 930×	`lower-*.f32`
1 282×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	1236
1	299	1236
2	776	1231
3	2037	1213
4	4602	1209
0	8188	1073

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 216

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)))
1
1
1
1
x
(+ x (* y (+ 1 x)))
(+ x (* y (+ 1 x)))
(+ x (* y (+ 1 x)))
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(/ -1 x)
(- (* -1 (/ y x)) (/ 1 x))
(- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 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
1
1
1
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* y (+ 1 (+ x (/ x y))))
(* y (+ 1 (+ x (/ x y))))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(/ 1 (* x y))
(/ (+ (/ 1 x) (/ 1 (* x y))) y)
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y)
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))) 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)))))
1
1
1
1
(* -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) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(/ 1 (* x y))
(/ (+ (/ 1 x) (/ 1 (* x y))) y)
(* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y)) (/ 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)
1
1
1
1
y
(+ y (* x (+ 1 y)))
(+ y (* x (+ 1 y)))
(+ y (* x (+ 1 y)))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(* 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
1
1
1
(* x (+ 1 y))
(* x (+ 1 (+ y (/ y x))))
(* x (+ 1 (+ y (/ y x))))
(* x (+ 1 (+ y (/ y x))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- 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)))
(* -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)))
1
1
1
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)))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(/ -1 (* x (+ 1 (* -1 y))))
(/ -1 (* x (+ 1 (* -1 y))))
(/ -1 (* x (+ 1 (* -1 y))))
(/ -1 (* x (+ 1 (* -1 y))))

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

rewrite2.1s (29.1%)

Memory

-7.2MiB live, 343.1MiB allocated

Rules

11 170×	`lower-fma.f32`
11 162×	`lower-fma.f64`
5 078×	`lower-*.f32`
5 076×	`lower-*.f64`
3 550×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	85
0	29	70
1	145	58
2	1075	58
0	8636	58

Stop Event

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

Counts

10 → 830

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

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

eval225.0ms (3.2%)

Memory: 18.3MiB live, 368.1MiB allocated
Compiler: Compiled 42 222 to 2 991 computations (92.9% saved)

prune140.0ms (2%)

Memory

-12.1MiB live, 322.3MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 434	3	1 437
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	1 436	5	1 441

Accuracy

100.0%

Counts

1 441 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.7%	(fma.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))) y)
▶	73.2%	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
✓	64.3%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	63.8%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
▶	29.1%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify125.0ms (1.8%)

Memory

37.3MiB live, 149.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 y x) x)
cost-diff	0	(.f64 (-.f64 (.f64 y x) x) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x)))
cost-diff	0	(fma.f64 y x x)
cost-diff	192	(fma.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))) y)
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

15 802×	`lower-fma.f32`
15 796×	`lower-fma.f64`
2 480×	`lower-*.f32`
2 476×	`lower-*.f64`
2 002×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	116
0	33	115
1	57	115
2	100	115
3	324	115
4	1195	115
5	2724	115
6	4177	115
7	7444	115
0	8060	111

Stop Event

1×	iter limit
1×	node limit
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
(fma.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))) y)
(fma.f64 y x x)
y
x
(.f64 (-.f64 (.f64 y x) x) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
#s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

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
(fma.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))) y)
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 (.f64 x x) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))) y)
(fma.f64 y x x)
y
x
(.f64 (-.f64 (.f64 y x) x) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(approx (pow (- ( y x) x) -1) (/.f64 #s(literal -1 binary64) x)) (-.f64 (*.f64 y x) x))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
#s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

localize63.0ms (0.9%)

Memory

-36.2MiB live, 81.3MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))) y)
accuracy	0.010097509768442016	(-.f64 (*.f64 y x) x)
accuracy	9.162537546547327	(.f64 (-.f64 (.f64 y x) x) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x)))
accuracy	31.72978307845684	#s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))
accuracy	0.0078125	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
accuracy	32.39827762074734	#s(approx (+ x 1) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	22.85759935454492	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
accuracy	30.663117615997475	#s(approx (+ (* y x) y) (*.f64 y x))

Samples

48.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 92 to 21 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 22.0ms (59.2% of total)

ival-add: 8.0ms (21.5% of total)

ival-pow: 3.0ms (8.1% of total)

ival-div: 2.0ms (5.4% of total)

ival-sub: 1.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

10 → 228

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

Calls

6 calls:

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

simplify112.0ms (1.6%)

Memory

18.2MiB live, 131.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 476×	`lower-fma.f64`
7 476×	`lower-fma.f32`
2 930×	`lower-*.f64`
2 930×	`lower-*.f32`
1 282×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	1160
1	299	1160
2	776	1155
3	2037	1137
4	4586	1133
0	8182	1019

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 218

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)))
x
(+ x (* y (+ 1 x)))
(+ x (* y (+ 1 x)))
(+ x (* y (+ 1 x)))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
1
1
1
1
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(/ -1 x)
(- (* -1 (/ y x)) (/ 1 x))
(- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 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))))
(* 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)))
1
1
1
1
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(/ 1 (* x y))
(/ (+ (/ 1 x) (/ 1 (* x y))) y)
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y)
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))) 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)))))
(* -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
1
1
1
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(/ 1 (* x y))
(/ (+ (/ 1 x) (/ 1 (* x y))) y)
(* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y)) (/ 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)
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))
1
1
1
1
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(* 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)))
(* 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))
1
1
1
1
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- 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)))))
(* 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)))
(* -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
1
1
1
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(/ -1 (* x (+ 1 (* -1 y))))
(/ -1 (* x (+ 1 (* -1 y))))
(/ -1 (* x (+ 1 (* -1 y))))
(/ -1 (* x (+ 1 (* -1 y))))

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

rewrite186.0ms (2.6%)

Memory

-3.9MiB live, 228.8MiB allocated

Rules

7 880×	`lower-fma.f32`
7 874×	`lower-fma.f64`
4 512×	`lower-*.f32`
4 508×	`lower-*.f64`
4 000×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	102
0	33	101
1	154	101
2	1016	101
0	8293	98

Stop Event

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

Counts

10 → 425

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

eval154.0ms (2.2%)

Memory: 5.3MiB live, 179.7MiB allocated
Compiler: Compiled 17 992 to 1 486 computations (91.7% saved)

prune212.0ms (3%)

Memory

-26.8MiB live, 135.8MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	668	1	669
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	669	5	674

Accuracy

100.0%

Counts

674 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (fma.f64 y x x) (.f64 #s(approx (- ( y x) x) (neg.f64 x)) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))) y)
✓	73.2%	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
✓	64.3%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	63.8%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
✓	29.1%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Compiler

Compiled 34 to 28 computations (17.6% saved)

simplify170.0ms (2.4%)

Memory

7.8MiB live, 81.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2 640×	`lower-fma.f32`
2 636×	`lower-fma.f64`
1 264×	`lower-*.f32`
1 262×	`lower-*.f64`
718×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	77
0	19	77
1	34	77
2	64	77
3	165	77
4	326	77
5	559	77
6	707	77
7	905	77
8	1533	77
9	2247	77
10	2946	77
11	2973	77
12	2975	77
13	2975	77
14	3199	77
15	3295	77
16	3295	77
17	3295	77
0	3295	77

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.5%)

Memory

10.0MiB live, 84.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (fma.f64 y x x) (.f64 #s(approx (- ( y x) x) (neg.f64 x)) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))) y)
accuracy	9.162537546547327	(.f64 #s(approx (- ( y x) x) (neg.f64 x)) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x)))
accuracy	31.72978307845684	#s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))
accuracy	32.11692799334906	#s(approx (- (* y x) x) (neg.f64 x))

Samples

27.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 61 to 14 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 7.0ms (41.5% of total)

ival-pow: 3.0ms (17.8% of total)

ival-div: 2.0ms (11.9% of total)

ival-add: 2.0ms (11.9% of total)

ival-sub: 1.0ms (5.9% of total)

ival-neg: 1.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

6 calls:

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

simplify229.0ms (3.3%)

Memory

-18.7MiB live, 143.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 194×	`lower-fma.f64`
8 194×	`lower-fma.f32`
2 184×	`lower-*.f64`
2 184×	`lower-*.f32`
1 742×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	650
1	251	650
2	638	645
3	1770	627
4	4203	623
5	6704	623
0	8093	574

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 117

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))
1
1
1
1
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(/ -1 x)
(- (* -1 (/ y x)) (/ 1 x))
(- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 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)))
1
1
1
1
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(/ 1 (* x y))
(/ (+ (/ 1 x) (/ 1 (* x y))) y)
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y)
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))) 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
1
1
1
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(/ 1 (* x y))
(/ (+ (/ 1 x) (/ 1 (* x y))) y)
(* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y)) (/ 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))
1
1
1
1
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(* 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))
1
1
1
1
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- y 1)))
(/ 1 (* x (- 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)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
1
1
1
1
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(/ -1 (* x (+ 1 (* -1 y))))
(/ -1 (* x (+ 1 (* -1 y))))
(/ -1 (* x (+ 1 (* -1 y))))
(/ -1 (* x (+ 1 (* -1 y))))

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

rewrite279.0ms (4%)

Memory

-16.5MiB live, 200.9MiB allocated

Rules

7 606×	`lower-fma.f32`
7 602×	`lower-fma.f64`
5 170×	`lower-*.f32`
5 168×	`lower-*.f64`
3 136×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	69
0	19	69
1	77	69
2	503	69
3	7425	69
0	8405	69

Stop Event

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

Counts

5 → 306

Calls

Call 1

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

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

eval133.0ms (1.9%)

Memory: 6.7MiB live, 116.4MiB allocated
Compiler: Compiled 13 343 to 975 computations (92.7% saved)

prune77.0ms (1.1%)

Memory

2.6MiB live, 89.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	423	0	423
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	423	5	428

Accuracy

100.0%

Counts

428 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fma.f64 y x x) (.f64 #s(approx (- ( y x) x) (neg.f64 x)) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))) y)
✓	73.2%	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
✓	64.3%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	63.8%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
✓	29.1%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Compiler

Compiled 116 to 58 computations (50% saved)

regimes26.0ms (0.4%)

Memory

-10.1MiB live, 28.9MiB allocated

Counts

9 → 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)
(fma.f64 (fma.f64 y x x) (.f64 #s(approx (- ( y x) x) (neg.f64 x)) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))) y)
(fma.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) #s(approx (pow (- (* y x) x) -1) (/.f64 #s(literal -1 binary64) x))) y)
(fma.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) y)

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

Calls

3 calls:

19.0ms	y
3.0ms	x
3.0ms	(+.f64 (+.f64 (*.f64 x y) x) 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

19.1MiB live, 19.1MiB 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	(+.f64 (+.f64 (*.f64 x y) x) y)
2.0ms	y

Results

Accuracy	Segments	Branch
99.5%	3	`x`
99.3%	3	`y`
98.5%	2	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes24.0ms (0.3%)

Memory

-24.3MiB live, 14.3MiB 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:

21.0ms	y
2.0ms	x
2.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

Accuracy	Segments	Branch
63.8%	1	`y`
63.8%	1	`x`
63.8%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB 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:

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

Results

Accuracy	Segments	Branch
29.1%	1	`y`
29.1%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`
29.1%	1	`x`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.5061450294616856e-265	3.285319301080228e-205

Compiler

Compiled 10 to 10 computations (0% saved)

simplify26.0ms (0.4%)

Memory

10.5MiB live, 50.5MiB 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	69
1	30	69

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -7260824748426675/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648 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
(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 -7260824748426675/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648 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 -7260824748426675/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648 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)))

soundness991.0ms (14.1%)

Memory

-10.4MiB live, 419.6MiB allocated

Rules

8 312×	`lower-fma.f64`
8 312×	`lower-fma.f32`
7 476×	`lower-fma.f64`
7 476×	`lower-fma.f32`
5 328×	`lower-fma.f64`

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
0	97	1236
1	299	1236
2	776	1231
3	2037	1213
4	4602	1209
0	8188	1073
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 65 to 39 computations (40% saved)

preprocess47.0ms (0.7%)

Memory: -10.4MiB live, 77.0MiB allocated
Remove: (sort x y)
Compiler: Compiled 110 to 64 computations (41.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample827.0ms (11.7%)

explain73.0ms (1%)

preprocess36.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize15.0ms (0.2%)

series6.0ms (0.1%)

simplify153.0ms (2.2%)

rewrite169.0ms (2.4%)

eval31.0ms (0.4%)

prune29.0ms (0.4%)

simplify129.0ms (1.8%)

localize92.0ms (1.3%)

series13.0ms (0.2%)

simplify128.0ms (1.8%)

rewrite2.1s (29.1%)

eval225.0ms (3.2%)

prune140.0ms (2%)

simplify125.0ms (1.8%)

localize63.0ms (0.9%)

series10.0ms (0.1%)

simplify112.0ms (1.6%)

rewrite186.0ms (2.6%)

eval154.0ms (2.2%)

prune212.0ms (3%)

simplify170.0ms (2.4%)

localize34.0ms (0.5%)

series6.0ms (0.1%)

simplify229.0ms (3.3%)

rewrite279.0ms (4%)

eval133.0ms (1.9%)

prune77.0ms (1.1%)

regimes26.0ms (0.4%)

regimes7.0ms (0.1%)

regimes24.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify26.0ms (0.4%)

soundness991.0ms (14.1%)

preprocess47.0ms (0.7%)

end0.0ms (0%)

Profiling