Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample556.0ms (18.6%)

Memory

4.2MiB live, 910.3MiB allocated

Samples

360.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-add: 92.0ms (52.9% of total)

ival-mult: 68.0ms (39.1% of total)

ival-true: 6.0ms (3.5% of total)

exact: 5.0ms (2.9% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain123.0ms (4.1%)

Memory

16.4MiB live, 55.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 y #s(literal 1 binary64))`
-	-	`y`
-	-	`#s(literal 1 binary64)`
-	-	`(*.f64 x (+.f64 y #s(literal 1 binary64)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

99.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-add: 84.0ms (95.6% of total)

ival-mult: 3.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess24.0ms (0.8%)

Memory

-11.9MiB live, 26.6MiB allocated

Algorithm

1×	egg-herbie

Rules

51×	`unsub-neg`
37×	`distribute-lft-in`
34×	`distribute-rgt-in`
34×	`associate-r`
34×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	57	27
2	162	25
3	388	25
4	514	25
5	615	25
6	620	25
0	5	5
0	7	5
1	17	5
2	21	5
3	34	5
4	34	5
0	34	4

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y #s(literal 1 binary64))
cost-diff	128	(*.f64 x (+.f64 y #s(literal 1 binary64)))

Rules

14×	`lower-*.f32`
13×	`lower-*.f64`
8×	`lower-fma.f64`
8×	`lower-fma.f32`
4×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	17	11
2	21	11
3	34	11
4	34	11
0	34	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.6%)

Memory

-10.6MiB live, 27.1MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-mult: 2.0ms (56.2% of total)

ival-add: 1.0ms (28.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

2 → 36

Calls

Call 1

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

Inputs

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

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

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

Calls

9 calls:

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

simplify231.0ms (7.7%)

Memory

9.2MiB live, 89.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 736×	`lower-fma.f64`
1 736×	`lower-fma.f32`
1 116×	`lower-/.f32`
1 116×	`lower-/.f64`
1 056×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	142
1	63	142
2	136	142
3	335	142
4	1238	142
5	2605	142
6	3231	142
7	3520	142
8	3696	142
9	3730	142
10	4330	142
11	5623	142
12	6379	142
13	6627	142
14	6683	142
15	6683	142
16	7171	142
17	7267	142
18	7419	142
19	7479	142
0	8075	121

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 33

Calls

Call 1

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

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

rewrite289.0ms (9.7%)

Memory

-0.4MiB live, 306.5MiB allocated

Rules

3 946×	`lower-fma.f64`
3 946×	`lower-fma.f32`
2 036×	`lower-/.f64`
2 036×	`lower-/.f32`
1 729×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	30	8
2	173	8
3	1266	8
0	8426	7

Stop Event

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

Counts

2 → 279

Calls

Call 1

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

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

eval34.0ms (1.1%)

Memory: 18.0MiB live, 92.8MiB allocated
Compiler: Compiled 7 932 to 799 computations (89.9% saved)

prune84.0ms (2.8%)

Memory

-28.8MiB live, 96.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	309	3	312
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	310	3	313

Accuracy

100.0%

Counts

313 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x x)
▶	50.2%	(*.f64 x #s(approx (+ y 1) #s(literal 1 binary64)))
▶	52.2%	#s(approx (* x (+ y 1)) (*.f64 y x))

Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify6.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

20×	`lower-*.f32`
18×	`lower-*.f64`
8×	`lower-fma.f32`
7×	`lower-fma.f64`
6×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
0	13	33
1	25	33
2	25	33
3	44	33
4	44	33
0	44	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (3.9%)

Memory

6.5MiB live, 42.5MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x x)
accuracy	0	(*.f64 x #s(approx (+ y 1) #s(literal 1 binary64)))
accuracy	31.958108192567273	#s(approx (+ y 1) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	30.59930410363136	#s(approx (* x (+ y 1)) (*.f64 y x))

Samples

109.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-add: 98.0ms (96.2% of total)

ival-mult: 4.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

simplify196.0ms (6.6%)

Memory

7.2MiB live, 122.3MiB allocated

Algorithm

1×	egg-herbie

Rules

1 420×	`lower-fma.f64`
1 420×	`lower-fma.f32`
896×	`lower-/.f32`
896×	`lower-/.f64`
838×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	438
1	74	438
2	162	438
3	389	438
4	1389	438
5	2570	438
6	3105	438
7	3434	438
8	3592	438
9	3598	438
10	4452	438
11	5756	438
12	6890	438
13	7580	438
14	7618	438
15	7630	438
0	8349	375

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 103

Calls

Call 1

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

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

rewrite300.0ms (10.1%)

Memory

-37.5MiB live, 340.8MiB allocated

Rules

4 149×	`lower-fma.f32`
4 148×	`lower-fma.f64`
2 321×	`lower-/.f64`
2 321×	`lower-/.f32`
2 069×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	13	27
1	50	27
2	292	27
3	2641	27
0	9223	27

Stop Event

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

Counts

5 → 177

Calls

Call 1

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

Outputs
#s(approx (* x (+ y 1)) (*.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(.f64 (.f64 #s(approx (+ y 1) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(approx (+ y 1) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(approx (+ y 1) #s(literal 1 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 #s(approx (+ y 1) #s(literal 1 binary64)) x))
(.f64 x (.f64 #s(literal 1 binary64) #s(approx (+ y 1) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ y 1) #s(literal 1 binary64)))
#s(approx (+ y 1) #s(literal 1 binary64))
(.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))) (.f64 (.f64 (fma.f64 (.f64 y y) y #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (.f64 (.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (.f64 (*.f64 x x) x))))
(.f64 (pow.f64 (/.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) (.f64 (.f64 y y) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) (.f64 y x)) (.f64 (.f64 x x) y)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) (.f64 y x)) (.f64 (.f64 x x) y)) (.f64 (.f64 y y) y)))))
(.f64 (pow.f64 (/.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x x)) (.f64 x (.f64 (fma.f64 y y #s(literal -1 binary64)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 (.f64 y y) y #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (.f64 (.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) (.f64 x x) (.f64 (.f64 x x) (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x x))))))
(.f64 (/.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) (.f64 y x)) (.f64 (.f64 x x) y)) (.f64 (.f64 y y) y)) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) (.f64 x x) (.f64 (.f64 x x) (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x x)))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) (.f64 x x) (.f64 (.f64 x x) (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x x)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) (.f64 y x)) (.f64 (.f64 x x) y)) (.f64 (.f64 y y) y)) (.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (.f64 (.f64 x x) x)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (.f64 (.f64 x x) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))))) (/.f64 (.f64 (fma.f64 (.f64 y y) y #s(literal 1 binary64)) (.f64 (.f64 x x) x)) (neg.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x x))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x x))) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) (.f64 y x)) (.f64 (.f64 x x) y)) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) (.f64 x x) (.f64 (.f64 x x) (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x x))))) (.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) (.f64 x x) (.f64 (.f64 x x) (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x x))))) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) y) x) (.f64 y x)) (.f64 (.f64 x x) y)) (.f64 (.f64 y y) y)) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (.f64 (.f64 x x) x))) (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) y) x) (.f64 x x)) (.f64 (.f64 x x) x))) (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (-.f64 y #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (neg.f64 (.f64 x (-.f64 y #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 x (-.f64 #s(literal 1 binary64) y))))
(-.f64 (.f64 (.f64 (.f64 y y) x) (/.f64 x (.f64 x (-.f64 y #s(literal 1 binary64))))) (.f64 x (/.f64 x (.f64 x (-.f64 y #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (.f64 y y) x) (/.f64 x (.f64 x (-.f64 y #s(literal 1 binary64))))) (neg.f64 (.f64 x (/.f64 x (.f64 x (-.f64 y #s(literal 1 binary64)))))))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))

eval121.0ms (4%)

Memory: 5.2MiB live, 53.4MiB allocated
Compiler: Compiled 6 459 to 496 computations (92.3% saved)

prune31.0ms (1.1%)

Memory

-8.2MiB live, 69.8MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	280	3	283

Accuracy

100.0%

Counts

283 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x x)
✓	50.2%	(*.f64 x #s(approx (+ y 1) #s(literal 1 binary64)))
✓	52.2%	#s(approx (* x (+ y 1)) (*.f64 y x))

Compiler

Compiled 37 to 18 computations (51.4% saved)

regimes8.0ms (0.3%)

Memory

23.7MiB live, 23.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x x)

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Memory

-18.3MiB live, 20.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(*.f64 x (+.f64 y #s(literal 1 binary64)))
2.0ms	y
2.0ms	x
1.0ms	(+.f64 y #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
57.2%	3	`x`
98.4%	3	`y`
80.2%	3	`(*.f64 x (+.f64 y #s(literal 1 binary64)))`
98.4%	3	`(+.f64 y #s(literal 1 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.2%	1	`x`
52.2%	1	`(*.f64 x (+.f64 y #s(literal 1 binary64)))`
52.2%	1	`y`
52.2%	1	`(+.f64 y #s(literal 1 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0141374000984358	31421.166134104857
0.0ms	-3892.718122378602	1.0

Compiler

Compiled 10 to 10 computations (0% saved)

simplify6.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	50
1	23	50

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 y x x)

(if (<=.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -2000 binary64)) #s(approx (* x (+ y 1)) (*.f64 y x)) (if (<=.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #s(approx (* x (+ y 1)) (*.f64 y x))))

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

Outputs
(fma.f64 y x x)
(if (<=.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -2000 binary64)) #s(approx (* x (+ y 1)) (.f64 y x)) (if (<=.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x #s(approx (+ y 1) #s(literal 1 binary64))) #s(approx (* x (+ y 1)) (*.f64 y x))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -2000 binary64)) #s(approx (* x (+ y 1)) (.f64 x y)) (if (<=.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 #s(approx (+ y 1) #s(literal 1 binary64)) x) #s(approx (* x (+ y 1)) (*.f64 x y))))
#s(approx (* x (+ y 1)) (*.f64 y x))
#s(approx (* x (+ y 1)) (*.f64 x y))

soundness752.0ms (25.2%)

Memory

-9.5MiB live, 201.5MiB allocated

Rules

3 946×	`lower-fma.f64`
3 946×	`lower-fma.f32`
2 036×	`lower-/.f64`
2 036×	`lower-/.f32`
1 736×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	30	8
2	173	8
3	1266	8
0	8426	7
0	19	142
1	63	142
2	136	142
3	335	142
4	1238	142
5	2605	142
6	3231	142
7	3520	142
8	3696	142
9	3730	142
10	4330	142
11	5623	142
12	6379	142
13	6627	142
14	6683	142
15	6683	142
16	7171	142
17	7267	142
18	7419	142
19	7479	142
0	8075	121

Stop Event

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

Compiler

Compiled 60 to 29 computations (51.7% saved)

preprocess62.0ms (2.1%)

Memory: -13.5MiB live, 100.7MiB allocated
Remove: (negabs x)
Compiler: Compiled 120 to 56 computations (53.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	31
1	57	27
2	162	25
3	388	25
4	514	25
5	615	25
6	620	25
0	5	5
0	7	5
1	17	5
2	21	5
3	34	5
4	34	5
0	34	4

Iter	Nodes	Cost
0	13	31
1	57	27
2	162	25
3	388	25
4	514	25
5	615	25
6	620	25
0	5	5
0	7	5
1	17	5
2	21	5
3	34	5
4	34	5
0	34	4

start0.0ms (0%)

analyze0.0ms (0%)

sample556.0ms (18.6%)

explain123.0ms (4.1%)

preprocess24.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize17.0ms (0.6%)

series3.0ms (0.1%)

simplify231.0ms (7.7%)

rewrite289.0ms (9.7%)

eval34.0ms (1.1%)

prune84.0ms (2.8%)

simplify6.0ms (0.2%)

localize117.0ms (3.9%)

series4.0ms (0.2%)

simplify196.0ms (6.6%)

rewrite300.0ms (10.1%)

eval121.0ms (4%)

prune31.0ms (1.1%)

regimes8.0ms (0.3%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

soundness752.0ms (25.2%)

preprocess62.0ms (2.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	31
1	57	27
2	162	25
3	388	25
4	514	25
5	615	25
6	620	25
0	5	5
0	7	5
1	17	5
2	21	5
3	34	5
4	34	5
0	34	4