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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze13.0ms (0.3%)

Memory

-10.2MiB live, 31.3MiB 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)

sample710.0ms (16.3%)

Memory

31.3MiB live, 1 244.0MiB allocated

Samples

445.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 239.0ms

ival-div: 92.0ms (38.6% of total)

ival-mult: 88.0ms (36.9% of total)

ival-add: 43.0ms (18% of total)

ival-true: 7.0ms (2.9% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain62.0ms (1.4%)

Memory

23.8MiB live, 113.8MiB 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

23.0ms

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 (36.8% of total)

ival-div: 3.0ms (27.6% of total)

ival-add: 3.0ms (27.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess102.0ms (2.3%)

Memory

-8.1MiB live, 68.4MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB 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)

localize29.0ms (0.7%)

Memory

-52.6MiB live, 45.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	6.134172296219013	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

23.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 9.0ms (67.5% of total)

ival-div: 2.0ms (15% of total)

ival-mult: 2.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

21.4MiB live, 21.5MiB 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
2.0ms	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	x	@	0	((/ (* x y) (+ y 1)) (* x y) (+ y 1))
1.0ms	y	@	inf	((/ (* x y) (+ y 1)) (* x y) (+ y 1))

simplify135.0ms (3.1%)

Memory

4.1MiB live, 161.8MiB 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)

rewrite148.0ms (3.4%)

Memory

20.5MiB live, 211.5MiB 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
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eval48.0ms (1.1%)

Memory: -38.3MiB live, 126.3MiB allocated
Compiler: Compiled 7 381 to 1 052 computations (85.7% saved)

prune8.0ms (0.2%)

Memory

34.4MiB live, 34.4MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	387	5	392
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	387	6	393

Accuracy

100.0%

Counts

393 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	88.9%	(/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x))
▶	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶	47.5%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	53.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
▶	54.0%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Compiler

Compiled 71 to 60 computations (15.5% saved)

simplify114.0ms (2.6%)

Memory

-28.6MiB live, 93.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) y)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) y) x)
cost-diff	384	(/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x))
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

928×	`lower-fma.f64`
928×	`lower-fma.f32`
616×	`lower-*.f32`
610×	`lower-*.f64`
608×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	107
0	29	107
1	43	107
2	67	107
3	111	107
4	192	107
5	320	107
6	585	107
7	981	107
8	1472	107
9	2047	107
10	2297	107
11	2341	107
12	2352	107
13	2353	107
14	2353	107
0	2353	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 y (/.f64 (+.f64 #s(literal 1 binary64) y) x))
y
(/.f64 (+.f64 #s(literal 1 binary64) y) x)
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
x

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

localize48.0ms (1.1%)

Memory

26.8MiB live, 102.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(/.f64 (+.f64 #s(literal 1 binary64) y) x)
accuracy	7.109809935547068	(/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 x (/.f64 x y))
accuracy	33.574551372800215	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
accuracy	0	(*.f64 y x)
accuracy	0.0078125	(-.f64 x (*.f64 y x))
accuracy	0.05859375	(.f64 (-.f64 x (.f64 y x)) y)
accuracy	29.93731748375515	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
accuracy	0	(*.f64 y x)
accuracy	29.461192601150145	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
accuracy	0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(/.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy	0.015625	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)

Samples

36.0ms

256×

valid

Compiler

Compiled 91 to 18 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 8.0ms (34.1% of total)

ival-mult: 8.0ms (34.1% of total)

ival-add: 5.0ms (21.3% of total)

ival-sub: 2.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.7%)

Memory

-26.6MiB live, 50.8MiB 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 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (patch (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) x) #<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>) () ())) ())
#s(alt (* y (+ x (* -1 (* 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>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (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>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (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>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- y 1)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) (taylor 0 y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) 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 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
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#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 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (patch (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (patch (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (patch (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (patch (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 y) x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 y) x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 y) x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 y) x) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) x) (patch (/.f64 (+.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 (.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 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (patch (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (patch (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (patch (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (patch (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 y) x) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 y) x) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 y) x) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 y) x) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) y) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	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) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x))
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) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x))
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) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x))
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) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x))
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) (/ y (/ (+ 1 y) x)) (/ (+ 1 y) x))

simplify193.0ms (4.4%)

Memory

40.8MiB live, 235.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 450×	`lower-fma.f64`
13 450×	`lower-fma.f32`
2 666×	`lower-*.f64`
2 666×	`lower-*.f32`
1 838×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	1892
1	288	1753
2	605	1705
3	2124	1627
4	6509	1627
5	7957	1627
0	8001	1615

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 272

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

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

rewrite145.0ms (3.3%)

Memory

-7.4MiB live, 186.5MiB allocated

Rules

5 346×	`lower-fma.f64`
5 346×	`lower-fma.f32`
4 720×	`lower-*.f32`
4 714×	`lower-*.f64`
3 952×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	89
0	29	89
1	121	89
2	838	89
0	8534	89

Stop Event

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

Counts

13 → 808

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

Outputs
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eval229.0ms (5.3%)

Memory: -0.7MiB live, 317.6MiB allocated
Compiler: Compiled 19 089 to 2 338 computations (87.8% saved)

prune29.0ms (0.7%)

Memory

3.1MiB live, 85.3MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 207	2	1 209
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	1 209	6	1 215

Accuracy

100.0%

Counts

1 215 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶	48.5%	(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
✓	47.5%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	53.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
✓	54.0%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Compiler

Compiled 36 to 33 computations (8.3% saved)

simplify53.0ms (1.2%)

Memory

-2.8MiB live, 34.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

688×	`lower-fma.f64`
688×	`lower-fma.f32`
488×	`lower-*.f32`
482×	`lower-*.f64`
344×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	18	51
1	30	51
2	49	51
3	82	51
4	174	51
5	270	51
6	402	51
7	643	51
8	817	51
9	988	51
10	1261	51
11	1435	51
12	1519	51
13	1523	51
14	1529	51
15	1531	51
0	1531	51

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (0.9%)

Memory

-7.2MiB live, 73.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
accuracy	33.21748439261148	#s(approx (/ y (+ 1 y)) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	0.05859375	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
accuracy	29.93731748375515	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))

Samples

30.0ms

256×

valid

Compiler

Compiled 41 to 14 computations (65.9% saved)

Precisions

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

ival-mult: 8.0ms (47.9% of total)

ival-div: 5.0ms (29.9% of total)

ival-add: 2.0ms (12% of total)

ival-sub: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

6 calls:

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

simplify158.0ms (3.6%)

Memory

-10.8MiB live, 194.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 410×	`lower-fma.f64`
14 410×	`lower-fma.f32`
3 020×	`lower-*.f64`
3 020×	`lower-*.f32`
2 058×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	840
1	255	780
2	559	756
3	1636	738
4	4845	738
5	7644	738
0	8192	732

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 114

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

rewrite106.0ms (2.4%)

Memory

-7.6MiB live, 149.6MiB allocated

Rules

2 848×	`lower-*.f32`
2 842×	`lower-*.f64`
2 660×	`lower-/.f64`
2 660×	`lower-/.f32`
2 590×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
0	18	46
1	72	46
2	442	46
3	5181	46
0	9280	44

Stop Event

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

Counts

6 → 384

Calls

Call 1

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

Outputs
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eval60.0ms (1.4%)

Memory: 12.6MiB live, 131.3MiB allocated
Compiler: Compiled 8 647 to 1 661 computations (80.8% saved)

prune12.0ms (0.3%)

Memory

-0.7MiB live, 37.0MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	498	0	498
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	498	6	504

Accuracy

100.0%

Counts

504 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓	48.5%	(*.f64 #s(approx (/ y (+ 1 y)) #s(literal 1 binary64)) x)
✓	47.5%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	53.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
✓	54.0%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

Compiler

Compiled 87 to 58 computations (33.3% saved)

regimes11.0ms (0.2%)

Memory

-18.0MiB live, 21.2MiB allocated

Counts

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

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

Calls

3 calls:

4.0ms	y
3.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
3.0ms	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)

regimes7.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB 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 (-.f64 #s(literal 1 binary64) y) x) y))
#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 x (.f64 y x)) y))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
58.5%	3	`x`
99.2%	3	`y`
79.3%	2	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

-27.8MiB live, 11.5MiB 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 (-.f64 #s(literal 1 binary64) y) x) 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 (-.f64 #s(literal 1 binary64) 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

5.7MiB live, 5.7MiB 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:

2.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB 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:

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

Results

Accuracy	Segments	Branch
54.0%	1	`x`
54.0%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
54.0%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch35.0ms (0.8%)

Memory

9.7MiB live, 53.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.373843425565108e-10	131.48070132766506
19.0ms	-6.510376345596595	-3.4263557948496424e-10

Samples

13.0ms

320×

valid

Compiler

Compiled 290 to 291 computations (-0.3% saved)

Precisions

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

ival-div: 2.0ms (30.8% of total)

ival-mult: 2.0ms (30.8% of total)

ival-add: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.7%)

Memory

-20.8MiB live, 17.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	3.373843425565108e-10	131.48070132766506
1.0ms	-6.510376345596595	-3.4263557948496424e-10

Samples

23.0ms

96×

valid

Compiler

Compiled 250 to 291 computations (-16.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (54.3% of total)

ival-mult: 1.0ms (54.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.373843425565108e-10	131.48070132766506
1.0ms	-6.510376345596595	-3.4263557948496424e-10

Compiler

Compiled 170 to 231 computations (-35.9% saved)

simplify58.0ms (1.3%)

Memory

12.1MiB live, 50.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`-commutative-binary64-.f64`
12×	`+-commutative-binary64-+.f64`
10×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	145
1	46	145
2	55	145
3	61	145
4	65	145
5	66	145

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.5s (34.4%)

Memory

-16.5MiB live, 448.2MiB allocated

Rules

13 450×	`lower-fma.f64`
13 450×	`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	97	1892
1	288	1753
2	605	1705
3	2124	1627
4	6509	1627
5	7957	1627
0	8001	1615
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	13
0	19	89
0	29	89
1	121	89
2	838	89
0	8534	89
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 193 to 101 computations (47.7% saved)

preprocess215.0ms (4.9%)

Memory: -26.2MiB live, 92.9MiB allocated
Remove: (negabs x)
Compiler: Compiled 296 to 138 computations (53.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze13.0ms (0.3%)

sample710.0ms (16.3%)

explain62.0ms (1.4%)

preprocess102.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize29.0ms (0.7%)

series7.0ms (0.2%)

simplify135.0ms (3.1%)

rewrite148.0ms (3.4%)

eval48.0ms (1.1%)

prune8.0ms (0.2%)

simplify114.0ms (2.6%)

localize48.0ms (1.1%)

series31.0ms (0.7%)

simplify193.0ms (4.4%)

rewrite145.0ms (3.3%)

eval229.0ms (5.3%)

prune29.0ms (0.7%)

simplify53.0ms (1.2%)

localize38.0ms (0.9%)

series8.0ms (0.2%)

simplify158.0ms (3.6%)

rewrite106.0ms (2.4%)

eval60.0ms (1.4%)

prune12.0ms (0.3%)

regimes11.0ms (0.2%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch35.0ms (0.8%)

bsearch29.0ms (0.7%)

bsearch2.0ms (0%)

simplify58.0ms (1.3%)

soundness1.5s (34.4%)

preprocess215.0ms (4.9%)

end0.0ms (0%)

Profiling