Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze38.0ms (0.9%)

Memory

-20.4MiB live, 17.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample765.0ms (17.7%)

Memory

30.7MiB live, 973.3MiB allocated

Samples

525.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 267.0ms

ival-mult: 105.0ms (39.3% of total)

ival-div: 102.0ms (38.2% of total)

ival-add: 46.0ms (17.2% of total)

ival-true: 6.0ms (2.2% of total)

exact: 5.0ms (1.9% of total)

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

Bogosity

explain85.0ms (2%)

Memory

0.5MiB live, 128.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
26	-	-	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
0	-	-	`(+.f64 y #s(literal 1 binary64))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`	o/n	26	0
↳	`(*.f64 x y)`	overflow	26

Confusion

	Predicted +	Predicted -
+	26	0
-	0	230

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	26	0	0
-	0	0	230

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	230
1	26

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (37.9% of total)

ival-div: 3.0ms (28.4% of total)

ival-add: 3.0ms (28.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess56.0ms (1.3%)

Memory

-21.3MiB live, 64.2MiB allocated

Algorithm

1×	egg-herbie

Rules

486×	`times-frac`
304×	`unsub-neg`
238×	`distribute-lft-in`
228×	`distribute-lft-neg-in`
228×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	50	37
2	145	35
3	443	35
4	1190	35
5	1667	35
6	1882	35
7	1938	35
8	1966	35
9	1970	35
0	6	7
0	9	7
1	15	7
2	18	7
3	19	7
0	19	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.5%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

12×	`lower-*.f32`
10×	`lower-*.f64`
6×	`*-commutative`
6×	`lower-/.f32`
4×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	15	16
2	18	16
3	19	16
0	19	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.4%)

Memory

-2.5MiB live, 35.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	6.086219253030494	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-div: 2.0ms (40.2% of total)

ival-mult: 2.0ms (40.2% of total)

ival-add: 1.0ms (20.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ())

Inputs

#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())

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

#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<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 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<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 y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<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 y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation:binary64>) () ())) ())

Calls

6 calls:

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

simplify142.0ms (3.3%)

Memory

-19.8MiB live, 177.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 976×	`lower-fma.f64`
9 976×	`lower-fma.f32`
2 536×	`lower-*.f64`
2 536×	`lower-*.f32`
1 658×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	299
1	135	290
2	274	282
3	1005	276
4	4069	276
5	5956	276
6	7080	276
7	7762	276
0	8009	274

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

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

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

rewrite185.0ms (4.3%)

Memory

11.6MiB live, 324.7MiB allocated

Rules

5 518×	`lower-/.f32`
5 516×	`lower-/.f64`
3 256×	`lower-*.f32`
3 254×	`lower-*.f64`
2 620×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	13

Stop Event

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

Counts

3 → 336

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 (neg.f64 x) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 (.f64 y x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x)))
(.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
(.f64 (neg.f64 x) (.f64 y (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(.f64 (neg.f64 y) (.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(.f64 (-.f64 y #s(literal 1 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (.f64 y x) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (.f64 y x))
(.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 (neg.f64 x) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))
(.f64 (.f64 y x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 y (.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(.f64 y (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y))))
(*.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 y) (log.f64 (*.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 y (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (.f64 y (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (-.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))) (.f64 (.f64 y (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (.f64 (.f64 y y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (.f64 (.f64 y y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (.f64 (.f64 y y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))) (.f64 (.f64 (.f64 y y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) y) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) y) (-.f64 (.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))) (.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) y) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 y y)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (-.f64 (.f64 (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 y y)) (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 y y))) (.f64 (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 y y)) (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y))) (.f64 (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 y y)) (.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))) (-.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) y))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 y y) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 (.f64 y y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 y #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (/.f64 y #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))
(+.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval77.0ms (1.8%)

Memory: 6.3MiB live, 173.9MiB allocated
Compiler: Compiled 7 381 to 1 053 computations (85.7% saved)

prune11.0ms (0.2%)

Memory

2.6MiB live, 40.7MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	386	6	392
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	386	7	393

Accuracy

100.0%

Counts

393 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.5%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶	90.7%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
▶	53.4%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
	47.5%	#s(approx (/ (* x y) (+ y 1)) (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (-.f64 x (*.f64 y x)) y)))
▶	47.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
▶	47.5%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Compiler

Compiled 97 to 78 computations (19.6% saved)

simplify57.0ms (1.3%)

Memory

-1.8MiB live, 42.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

800×	`lower-fma.f64`
800×	`lower-fma.f32`
536×	`lower-*.f32`
528×	`lower-*.f64`
240×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	107
0	29	107
1	45	107
2	67	107
3	110	107
4	190	107
5	322	107
6	589	107
7	961	107
8	1362	107
9	1605	107
10	1678	107
11	1688	107
12	1691	107
13	1692	107
0	1692	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (1.7%)

Memory

-20.1MiB live, 136.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(/.f64 x (+.f64 #s(literal 1 binary64) y))
accuracy	5.973239863777411	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
accuracy	0	(/.f64 x y)
accuracy	0.00390625	(-.f64 x (/.f64 x y))
accuracy	29.803400953100983	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
accuracy	0	(*.f64 y x)
accuracy	0.00390625	(-.f64 x (*.f64 y x))
accuracy	0.078125	(.f64 (-.f64 x (.f64 y x)) y)
accuracy	33.79074874600105	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
accuracy	0	(*.f64 y x)
accuracy	33.57756565871687	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.01171875	(/.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy	0.01171875	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)

Samples

55.0ms

256×

valid

Compiler

Compiled 91 to 18 computations (80.2% saved)

Precisions

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

ival-mult: 9.0ms (43.6% of total)

ival-div: 6.0ms (29.1% of total)

ival-add: 3.0ms (14.5% of total)

ival-sub: 2.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.4%)

Memory

25.5MiB live, 63.7MiB allocated

Counts

13 → 288

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)))
3.0ms	x	@	inf	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)))
1.0ms	y	@	-inf	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)))
1.0ms	x	@	0	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)))
1.0ms	y	@	0	((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)))

simplify178.0ms (4.1%)

Memory

-33.9MiB live, 337.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 820×	`lower-fma.f64`
14 820×	`lower-fma.f32`
2 644×	`lower-*.f64`
2 644×	`lower-*.f32`
1 970×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1917
1	322	1745
2	695	1689
3	2297	1671
4	6878	1671
0	8180	1657

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 271

Calls

Call 1

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

rewrite175.0ms (4.1%)

Memory

13.8MiB live, 405.5MiB allocated

Rules

5 026×	`lower-*.f32`
5 018×	`lower-*.f64`
4 998×	`lower-fma.f64`
4 998×	`lower-fma.f32`
4 392×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	89
0	29	89
1	116	89
2	768	89
0	8987	89

Stop Event

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

Counts

13 → 884

Calls

Call 1

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

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

eval297.0ms (6.9%)

Memory: -3.0MiB live, 391.2MiB allocated
Compiler: Compiled 21 022 to 2 516 computations (88% saved)

prune29.0ms (0.7%)

Memory

5.3MiB live, 89.8MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 297	4	1 301
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	1 299	9	1 308

Accuracy

100.0%

Counts

1 308 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.5%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	90.7%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
▶	48.1%	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)
▶	47.2%	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
▶	54.5%	(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
✓	53.4%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	47.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
▶	47.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)))
✓	47.5%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Compiler

Compiled 63 to 54 computations (14.3% saved)

simplify92.0ms (2.1%)

Memory

23.4MiB live, 60.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

1 376×	`lower-fma.f32`
1 374×	`lower-fma.f64`
760×	`lower-*.f32`
746×	`lower-*.f64`
376×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	134
0	33	134
1	54	134
2	89	134
3	150	134
4	301	134
5	500	134
6	745	134
7	1185	134
8	1516	134
9	1720	134
10	1886	134
11	2034	134
12	2056	134
13	2065	134
14	2075	134
15	2078	134
0	2078	134

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (1.3%)

Memory

-20.0MiB live, 98.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy	0.01171875	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)
accuracy	0.04296875	(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)
accuracy	33.276724755630546	#s(approx (/ y (+ 1 y)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) y) y)
accuracy	0.01171875	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
accuracy	33.8823563308764	#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
accuracy	0.01171875	(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
accuracy	29.319016262708093	#s(approx (/ y (+ 1 y)) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 x y)
accuracy	0.08984375	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
accuracy	33.79074874600105	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)))

Samples

45.0ms

256×

valid

Compiler

Compiled 96 to 18 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-add: 9.0ms (31.9% of total)

ival-mult: 9.0ms (31.9% of total)

ival-div: 7.0ms (24.8% of total)

ival-sub: 2.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

13 → 228

Calls

Call 1

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

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

Calls

6 calls:

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

simplify174.0ms (4%)

Memory

-19.6MiB live, 215.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 328×	`lower-fma.f64`
12 328×	`lower-fma.f32`
2 654×	`lower-*.f64`
2 654×	`lower-*.f32`
1 680×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1571
1	277	1490
2	697	1446
3	2342	1404
4	6632	1404
0	8017	1378

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 215

Calls

Call 1

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

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

rewrite163.0ms (3.8%)

Memory

-6.2MiB live, 348.8MiB allocated

Rules

6 070×	`lower-fma.f32`
6 068×	`lower-fma.f64`
5 056×	`lower-*.f32`
5 042×	`lower-*.f64`
4 646×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	117
0	33	117
1	110	117
2	685	117
0	8904	117

Stop Event

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

Counts

13 → 752

Calls

Call 1

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

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

eval199.0ms (4.6%)

Memory: 31.7MiB live, 356.6MiB allocated
Compiler: Compiled 23 989 to 3 655 computations (84.8% saved)

prune86.0ms (2%)

Memory

-5.4MiB live, 75.2MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	1 185	0	1 185
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	1 185	9	1 194

Accuracy

100.0%

Counts

1 194 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.5%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	90.7%	(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
✓	48.1%	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x)
✓	47.2%	(.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
✓	54.5%	(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
✓	53.4%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	47.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
✓	47.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)))
✓	47.5%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Compiler

Compiled 146 to 89 computations (39% saved)

regimes14.0ms (0.3%)

Memory

-11.0MiB live, 27.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.3%)

Memory

-15.6MiB live, 22.6MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
3.0ms	y
3.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
90.7%	1	`x`
100.0%	3	`y`
90.7%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))

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

#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.2%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.2%)

Memory

-32.1MiB live, 9.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Calls

3 calls:

5.0ms	y
1.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
47.5%	1	`x`
47.5%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
47.5%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch26.0ms (0.6%)

Memory

4.1MiB live, 41.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.21183030292520733	231747160528710.56
11.0ms	-4767428578.276634	-310.65238780109775

Samples

12.0ms

288×

valid

Compiler

Compiled 244 to 245 computations (-0.4% saved)

Precisions

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

ival-div: 2.0ms (34.8% of total)

ival-mult: 2.0ms (34.8% of total)

ival-add: 1.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.6%)

Memory

5.6MiB live, 42.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.21183030292520733	231747160528710.56
11.0ms	-310.65238780109775	-1.9421081951399045e-5

Samples

14.0ms

288×

valid

Compiler

Compiled 333 to 296 computations (11.1% saved)

Precisions

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

ival-div: 2.0ms (35.9% of total)

ival-mult: 2.0ms (35.9% of total)

ival-add: 1.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

bsearch7.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.21183030292520733	231747160528710.56
1.0ms	-310.65238780109775	-1.9421081951399045e-5

Samples

2.0ms

64×

valid

Compiler

Compiled 276 to 277 computations (-0.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.21183030292520733	231747160528710.56
1.0ms	-310.65238780109775	-1.9421081951399045e-5

Samples

2.0ms

48×

valid

Compiler

Compiled 238 to 277 computations (-16.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.21183030292520733	231747160528710.56
1.0ms	-310.65238780109775	-1.9421081951399045e-5

Compiler

Compiled 238 to 258 computations (-8.4% saved)

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.21183030292520733	231747160528710.56
1.0ms	-310.65238780109775	-1.9421081951399045e-5

Compiler

Compiled 238 to 277 computations (-16.4% saved)

bsearch2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.21183030292520733	231747160528710.56
1.0ms	-310.65238780109775	-1.9421081951399045e-5

Compiler

Compiled 162 to 220 computations (-35.8% saved)

simplify32.0ms (0.7%)

Memory

1.6MiB live, 38.8MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`-commutative-binary64-.f64`
20×	`+-commutative-binary64-+.f64`
18×	`sub-neg-binary64-neg.f64-+.f64--.f64`
10×	`neg-sub0-binary64--.f64-neg.f64`
10×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	314
1	84	314
2	103	314
3	116	314
4	121	314
5	122	314

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(if (<=.f64 y #s(literal -250000000 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 160000000 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 5/4 binary64)) (.f64 #s(approx (/ y (+ 1 y)) (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) (.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y)) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 y x)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Outputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -250000000 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 160000000 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 5/4 binary64)) (.f64 #s(approx (/ y (+ 1 y)) (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)) x) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) (.f64 #s(approx (/ y (+ 1 y)) (.f64 (-.f64 #s(literal 1 binary64) y) y)) x) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y)) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 (-.f64 x (.f64 x y)) y)) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))) (*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 y x)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 x y)) (.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

soundness997.0ms (23%)

Memory

-11.4MiB live, 597.2MiB allocated

Rules

14 820×	`lower-fma.f64`
14 820×	`lower-fma.f32`
9 976×	`lower-fma.f64`
9 976×	`lower-fma.f32`
5 518×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1917
1	322	1745
2	695	1689
3	2297	1671
4	6878	1671
0	8180	1657
0	19	89
0	29	89
1	116	89
2	768	89
0	8987	89
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	13
0	46	299
1	135	290
2	274	282
3	1005	276
4	4069	276
5	5956	276
6	7080	276
7	7762	276
0	8009	274

Stop Event

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

Compiler

Compiled 457 to 222 computations (51.4% saved)

preprocess178.0ms (4.1%)

Memory: -13.2MiB live, 103.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 628 to 244 computations (61.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze38.0ms (0.9%)

sample765.0ms (17.7%)

explain85.0ms (2%)

preprocess56.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize17.0ms (0.4%)

series6.0ms (0.1%)

simplify142.0ms (3.3%)

rewrite185.0ms (4.3%)

eval77.0ms (1.8%)

prune11.0ms (0.2%)

simplify57.0ms (1.3%)

localize75.0ms (1.7%)

series19.0ms (0.4%)

simplify178.0ms (4.1%)

rewrite175.0ms (4.1%)

eval297.0ms (6.9%)

prune29.0ms (0.7%)

simplify92.0ms (2.1%)

localize58.0ms (1.3%)

series13.0ms (0.3%)

simplify174.0ms (4%)

rewrite163.0ms (3.8%)

eval199.0ms (4.6%)

prune86.0ms (2%)

regimes14.0ms (0.3%)

regimes12.0ms (0.3%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes8.0ms (0.2%)

bsearch26.0ms (0.6%)

bsearch27.0ms (0.6%)

bsearch7.0ms (0.2%)

bsearch6.0ms (0.1%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

simplify32.0ms (0.7%)

soundness997.0ms (23%)

preprocess178.0ms (4.1%)

end0.0ms (0%)

Profiling