Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H

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)

sample561.0ms (16.2%)

Memory

33.5MiB live, 935.8MiB allocated

Samples

368.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-sub: 81.0ms (54.7% of total)

ival-mult: 53.0ms (35.8% of total)

ival-true: 6.0ms (4% of total)

exact: 5.0ms (3.4% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

explain124.0ms (3.6%)

Memory

11.1MiB live, 48.5MiB allocated

FPErrors

Click to see full error table

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

18.0ms

512×

valid

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 3.0ms (41.3% of total)

ival-mult: 3.0ms (41.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess163.0ms (4.7%)

Memory

-16.3MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Rules

88×	`lower-fma.f64`
88×	`lower-fma.f32`
56×	`lower-*.f32`
55×	`lower-*.f64`
51×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	40	26
2	106	25
3	323	25
4	517	25
5	612	25
0	5	5
0	7	5
1	12	5
2	22	5
3	38	5
4	83	5
5	114	5
6	154	5
7	219	5
8	265	5
9	301	5
10	307	5
0	307	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify11.0ms (0.3%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

88×	`lower-fma.f64`
88×	`lower-fma.f32`
56×	`lower-*.f32`
55×	`lower-*.f64`
28×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	22	11
3	38	11
4	83	11
5	114	11
6	154	11
7	219	11
8	265	11
9	301	11
10	307	11
0	307	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.4%)

Memory

20.6MiB live, 20.6MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

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

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

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

exact: 0.0ms (0% of total)

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

series127.0ms (3.7%)

Memory

-30.1MiB live, 7.1MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#s(alt (.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (.f64 x (-.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>) () ())

Inputs

#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 x (-.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>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
122.0ms	y	@	-inf	(* x (- 1 y))
0.0ms	x	@	0	(* x (- 1 y))
0.0ms	x	@	inf	(* x (- 1 y))
0.0ms	x	@	-inf	(* x (- 1 y))
0.0ms	y	@	inf	(* x (- 1 y))

simplify369.0ms (10.7%)

Memory

20.5MiB live, 184.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 420×	`lower-fma.f64`
4 420×	`lower-fma.f32`
1 185×	`lower-*.f64`
1 185×	`lower-*.f32`
1 048×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	146
1	69	146
2	160	146
3	294	146
4	860	146
5	2433	146
6	3646	146
7	4180	146
8	4355	146
9	4392	146
10	4424	146
11	5092	146
12	5540	146
13	5641	146
14	5661	146
15	5671	146
16	5677	146
17	5677	146
18	5681	146
19	5685	146
20	6658	146
0	8363	146

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

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

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

rewrite351.0ms (10.1%)

Memory

-3.3MiB live, 208.5MiB allocated

Rules

2 066×	`lower-fma.f64`
2 066×	`lower-fma.f32`
1 647×	`lower-/.f64`
1 647×	`lower-/.f32`
1 427×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	25	8
2	145	8
3	1149	8
0	9894	7

Stop Event

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

Counts

2 → 353

Calls

Call 1

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

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

eval46.0ms (1.3%)

Memory: -10.6MiB live, 101.3MiB allocated
Compiler: Compiled 10 547 to 1 068 computations (89.9% saved)

prune57.0ms (1.6%)

Memory

10.6MiB live, 130.9MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	386	2	388
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	386	3	389

Accuracy

100.0%

Counts

389 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶	52.0%	(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
▶	50.2%	(*.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))

Compiler

Compiled 20 to 13 computations (35% saved)

simplify6.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

12×	`lower-+.f64`
12×	`lower-+.f32`
9×	`lower--.f64`
9×	`lower--.f32`
8×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	12	32
1	20	32
2	24	32
3	29	32
4	37	32
5	47	32
6	62	32
7	65	32
0	65	32

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.6%)

Memory

-2.9MiB live, 36.0MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
accuracy	0	(neg.f64 y)
accuracy	30.874452418129188	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(*.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))
accuracy	32.07646357002783	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

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

ival-mult: 2.0ms (43.8% of total)

ival-sub: 1.0ms (21.9% of total)

ival-neg: 1.0ms (21.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

5 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

simplify268.0ms (7.7%)

Memory

-4.3MiB live, 198.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 420×	`lower-fma.f64`
4 420×	`lower-fma.f32`
1 185×	`lower-*.f64`
1 185×	`lower-*.f32`
1 048×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	316
1	69	316
2	160	316
3	294	316
4	860	316
5	2433	316
6	3646	316
7	4180	316
8	4355	316
9	4392	316
10	4424	316
11	5092	316
12	5540	316
13	5641	316
14	5661	316
15	5671	316
16	5677	316
17	5677	316
18	5681	316
19	5685	316
20	6658	316
0	8363	316

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

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

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

rewrite189.0ms (5.5%)

Memory

-7.6MiB live, 262.8MiB allocated

Rules

1 900×	`lower-fma.f64`
1 900×	`lower-fma.f32`
1 856×	`lower-*.f32`
1 854×	`lower-*.f64`
1 550×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	12	28
1	33	28
2	149	28
3	1178	25
0	9575	25

Stop Event

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

Counts

5 → 137

Calls

Call 1

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

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

eval24.0ms (0.7%)

Memory: 0.5MiB live, 46.3MiB allocated
Compiler: Compiled 2 306 to 334 computations (85.5% saved)

prune24.0ms (0.7%)

Memory

15.4MiB live, 53.2MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	219	3	222

Accuracy

100.0%

Counts

222 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	52.0%	(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
✓	50.2%	(*.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))

Compiler

Compiled 36 to 21 computations (41.7% saved)

regimes10.0ms (0.3%)

Memory

-17.9MiB live, 20.3MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(-.f64 #s(literal 1 binary64) y)
2.0ms	x
2.0ms	(*.f64 x (-.f64 #s(literal 1 binary64) y))
2.0ms	y

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.2%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
57.1%	3	`x`
98.4%	3	`y`
86.0%	3	`(*.f64 x (-.f64 #s(literal 1 binary64) y))`
98.4%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.5%)

Memory

-24.9MiB live, 13.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	(*.f64 x (-.f64 #s(literal 1 binary64) y))
1.0ms	x
1.0ms	y
1.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
50.2%	1	`x`
50.2%	1	`(*.f64 x (-.f64 #s(literal 1 binary64) y))`
50.2%	1	`y`
50.2%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	3894.718122378602
0.0ms	-31419.166134104857	0.9858625999015642

Compiler

Compiled 10 to 10 computations (0% saved)

simplify7.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	27	47
2	30	47
3	31	47

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -20000 binary64)) (*.f64 x #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 x #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 y) (neg.f64 y)))))

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

Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -20000 binary64)) (.f64 x #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 x #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 y) (neg.f64 y)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -20000 binary64)) (.f64 #s(approx (- 1 y) (neg.f64 y)) x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)))
(*.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)

soundness985.0ms (28.4%)

Memory

0.5MiB live, 150.3MiB allocated

Rules

4 420×	`lower-fma.f64`
4 420×	`lower-fma.f32`
1 185×	`lower-*.f64`
1 185×	`lower-*.f32`
1 048×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	146
1	69	146
2	160	146
3	294	146
4	860	146
5	2433	146
6	3646	146
7	4180	146
8	4355	146
9	4392	146
10	4424	146
11	5092	146
12	5540	146
13	5641	146
14	5661	146
15	5671	146
16	5677	146
17	5677	146
18	5681	146
19	5685	146
20	6658	146
0	8363	146

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 53 to 26 computations (50.9% saved)

preprocess82.0ms (2.4%)

Memory: 11.3MiB live, 114.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 130 to 68 computations (47.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	31
1	40	26
2	106	25
3	323	25
4	517	25
5	612	25
0	5	5
0	7	5
1	12	5
2	22	5
3	38	5
4	83	5
5	114	5
6	154	5
7	219	5
8	265	5
9	301	5
10	307	5
0	307	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	22	11
3	38	11
4	83	11
5	114	11
6	154	11
7	219	11
8	265	11
9	301	11
10	307	11
0	307	11

Iter	Nodes	Cost
0	13	31
1	40	26
2	106	25
3	323	25
4	517	25
5	612	25
0	5	5
0	7	5
1	12	5
2	22	5
3	38	5
4	83	5
5	114	5
6	154	5
7	219	5
8	265	5
9	301	5
10	307	5
0	307	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	22	11
3	38	11
4	83	11
5	114	11
6	154	11
7	219	11
8	265	11
9	301	11
10	307	11
0	307	11

start0.0ms (0%)

analyze0.0ms (0%)

sample561.0ms (16.2%)

explain124.0ms (3.6%)

preprocess163.0ms (4.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.3%)

localize14.0ms (0.4%)

series127.0ms (3.7%)

simplify369.0ms (10.7%)

rewrite351.0ms (10.1%)

eval46.0ms (1.3%)

prune57.0ms (1.6%)

simplify6.0ms (0.2%)

localize20.0ms (0.6%)

series2.0ms (0.1%)

simplify268.0ms (7.7%)

rewrite189.0ms (5.5%)

eval24.0ms (0.7%)

prune24.0ms (0.7%)

regimes10.0ms (0.3%)

regimes6.0ms (0.2%)

regimes19.0ms (0.5%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

soundness985.0ms (28.4%)

preprocess82.0ms (2.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	31
1	40	26
2	106	25
3	323	25
4	517	25
5	612	25
0	5	5
0	7	5
1	12	5
2	22	5
3	38	5
4	83	5
5	114	5
6	154	5
7	219	5
8	265	5
9	301	5
10	307	5
0	307	5

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	22	11
3	38	11
4	83	11
5	114	11
6	154	11
7	219	11
8	265	11
9	301	11
10	307	11
0	307	11