Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, E

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze7.0ms (0.3%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample749.0ms (30.6%)

Memory

32.8MiB live, 641.3MiB allocated; 91ms collecting garbage

Samples

460.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 260.0ms

ival-sub: 156.0ms (59.9% of total)

ival-div: 93.0ms (35.7% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.2% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain94.0ms (3.8%)

Memory

-26.8MiB live, 81.1MiB allocated; 31ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 x y)`
-	-	`(/.f64 (-.f64 x y) x)`
-	-	`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 29 to 16 computations (44.8% saved)

Precisions

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

ival-div: 4.0ms (56.9% of total)

ival-sub: 3.0ms (42.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess15.0ms (0.6%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	30	29
2	47	27
3	62	27
4	74	27
5	80	27
6	82	27
7	87	27
8	94	27
9	100	27
10	100	27
0	4	5
0	6	5
1	9	5
2	10	5
3	12	5
0	12	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) x)

Outputs
(/.f64 (-.f64 x y) x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 x y) x)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	9	10
2	10	10
3	12	10
0	12	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) x)
(-.f64 x y)
x
y

Outputs
(/.f64 (-.f64 x y) x)
(-.f64 x y)
x
y

localize17.0ms (0.7%)

Memory

-18.2MiB live, 27.8MiB allocated; 7ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 x y)
accuracy	0.0078125	(/.f64 (-.f64 x y) x)

Samples

13.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-sub: 2.0ms (45% of total)

ival-div: 2.0ms (45% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Counts

2 → 14

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) x)
(-.f64 x y)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (- x y) x) (- x y))
1.0ms	y	@	inf	((/ (- x y) x) (- x y))
0.0ms	x	@	-inf	((/ (- x y) x) (- x y))
0.0ms	y	@	-inf	((/ (- x y) x) (- x y))
0.0ms	x	@	0	((/ (- x y) x) (- x y))

simplify202.0ms (8.2%)

Memory

16.2MiB live, 159.2MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	56
1	79	46
2	217	46
3	521	46
4	2394	46
5	4396	46
6	5590	46
0	8115	46

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

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

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

rewrite178.0ms (7.3%)

Memory

-21.8MiB live, 303.1MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	25	8
2	158	8
3	1430	8
0	8984	8

Stop Event

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

Counts

2 → 277

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) x)
(-.f64 x y)

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

eval29.0ms (1.2%)

Memory: 19.1MiB live, 78.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 9 611 to 912 computations (90.5% saved)

prune6.0ms (0.3%)

Memory

-18.6MiB live, 24.7MiB allocated; 3ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	279	3	282
Fresh	0	0	0
Picked	1	0	1
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
▶	54.2%	(/.f64 #s(approx (- x y) (neg.f64 y)) x)
▶	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
▶	48.4%	#s(approx (/ (- x y) x) #s(literal 1 binary64))

Compiler

Compiled 20 to 17 computations (15% saved)

simplify4.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
0	15	37
1	19	37
2	19	37
0	19	37

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (1.1%)

Memory

10.8MiB live, 54.4MiB allocated; 4ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	0.0078125	(/.f64 #s(approx (- x y) (neg.f64 y)) x)
accuracy	29.46210352872943	#s(approx (- x y) (neg.f64 y))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy	33.00653167776554	#s(approx (/ (- x y) x) #s(literal 1 binary64))

Samples

20.0ms

256×

valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (39.9% of total)

ival-sub: 2.0ms (26.6% of total)

ival-neg: 1.0ms (13.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series20.0ms (0.8%)

Memory

-18.6MiB live, 16.9MiB allocated; 18ms collecting garbage

Counts

6 → 16

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	y	@	inf	((/ (- x y) x) (- 1 (/ y x)) (/ y x) (/ (- x y) x) (- x y) (neg y))
1.0ms	y	@	-inf	((/ (- x y) x) (- 1 (/ y x)) (/ y x) (/ (- x y) x) (- x y) (neg y))
1.0ms	x	@	-inf	((/ (- x y) x) (- 1 (/ y x)) (/ y x) (/ (- x y) x) (- x y) (neg y))
1.0ms	x	@	inf	((/ (- x y) x) (- 1 (/ y x)) (/ y x) (/ (- x y) x) (- x y) (neg y))
1.0ms	x	@	0	((/ (- x y) x) (- 1 (/ y x)) (/ y x) (/ (- x y) x) (- x y) (neg y))

simplify269.0ms (11%)

Memory

32.7MiB live, 282.5MiB allocated; 57ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	54
1	81	54
2	219	54
3	523	54
4	2380	54
5	4393	54
6	5593	54
0	8128	54

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

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

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

rewrite216.0ms (8.8%)

Memory

-9.2MiB live, 179.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
0	15	31
1	51	31
2	305	31
3	3413	31
0	8847	31

Stop Event

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

Counts

6 → 177

Calls

Call 1

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

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

eval46.0ms (1.9%)

Memory: -11.8MiB live, 32.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 446 to 492 computations (85.7% saved)

prune4.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	182	3	185

Accuracy

100.0%

Counts

185 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.2%	(/.f64 #s(approx (- x y) (neg.f64 y)) x)
✓	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	48.4%	#s(approx (/ (- x y) x) #s(literal 1 binary64))

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes5.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
1.0ms	(/.f64 (-.f64 x y) x)

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 x y) x)`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes36.0ms (1.5%)

Memory

-37.5MiB live, 8.1MiB allocated; 8ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	(/.f64 (-.f64 x y) x)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
99.1%	3	`(/.f64 (-.f64 x y) x)`
77.8%	3	`x`
78.6%	3	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) x) #s(literal 1 binary64))

Outputs
#s(approx (/ (- x y) x) #s(literal 1 binary64))

Calls

3 calls:

1.0ms	(/.f64 (-.f64 x y) x)
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
48.4%	1	`x`
48.4%	1	`y`
48.4%	1	`(/.f64 (-.f64 x y) x)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0005794750154644	7.980289663461923e+20
0.0ms	-2604402361926146.0	0.8645728028060229

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify11.0ms (0.5%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	44
1	35	44
2	43	44
3	47	44
4	48	44

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (/.f64 (-.f64 x y) x) #s(literal -2000000000000000 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) x) (if (<=.f64 (/.f64 (-.f64 x y) x) #s(literal 2 binary64)) #s(approx (/ (- x y) x) #s(literal 1 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) x)))

#s(approx (/ (- x y) x) #s(literal 1 binary64))

Outputs
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(if (<=.f64 (/.f64 (-.f64 x y) x) #s(literal -2000000000000000 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) x) (if (<=.f64 (/.f64 (-.f64 x y) x) #s(literal 2 binary64)) #s(approx (/ (- x y) x) #s(literal 1 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) x)))
(if (or (<=.f64 (/.f64 (-.f64 x y) x) #s(literal -2000000000000000 binary64)) (not (<=.f64 (/.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (/.f64 #s(approx (- x y) (neg.f64 y)) x) #s(approx (/ (- x y) x) #s(literal 1 binary64)))
#s(approx (/ (- x y) x) #s(literal 1 binary64))

derivations458.0ms (18.7%)

Memory

-3.1MiB live, 337.7MiB allocated; 130ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	56
1	79	46
2	217	46
3	521	46
4	2394	46
5	4396	46
6	5590	46
0	8115	46
0	4	8
0	6	8
1	25	8
2	158	8
3	1430	8
0	8984	8

Stop Event

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

Compiler

Compiled 44 to 20 computations (54.5% saved)

preprocess42.0ms (1.7%)

Memory: 0.8MiB live, 47.4MiB allocated; 2ms collecting garbage
Compiler: Compiled 108 to 58 computations (46.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	12	35
1	30	29
2	47	27
3	62	27
4	74	27
5	80	27
6	82	27
7	87	27
8	94	27
9	100	27
10	100	27
0	4	5
0	6	5
1	9	5
2	10	5
3	12	5
0	12	5

Iter	Nodes	Cost
0	12	35
1	30	29
2	47	27
3	62	27
4	74	27
5	80	27
6	82	27
7	87	27
8	94	27
9	100	27
10	100	27
0	4	5
0	6	5
1	9	5
2	10	5
3	12	5
0	12	5

start0.0ms (0%)

analyze7.0ms (0.3%)

sample749.0ms (30.6%)

explain94.0ms (3.8%)

preprocess15.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize17.0ms (0.7%)

series3.0ms (0.1%)

simplify202.0ms (8.2%)

rewrite178.0ms (7.3%)

eval29.0ms (1.2%)

prune6.0ms (0.3%)

simplify4.0ms (0.2%)

localize26.0ms (1.1%)

series20.0ms (0.8%)

simplify269.0ms (11%)

rewrite216.0ms (8.8%)

eval46.0ms (1.9%)

prune4.0ms (0.2%)

regimes5.0ms (0.2%)

regimes36.0ms (1.5%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

simplify11.0ms (0.5%)

derivations458.0ms (18.7%)

preprocess42.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	35
1	30	29
2	47	27
3	62	27
4	74	27
5	80	27
6	82	27
7	87	27
8	94	27
9	100	27
10	100	27
0	4	5
0	6	5
1	9	5
2	10	5
3	12	5
0	12	5