Metrics for Data.Colour.SRGB:transferFunction from colour-2.3.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample880.0ms (37.3%)

Memory

13.9MiB live, 1 086.6MiB allocated; 232ms collecting garbage

Samples

587.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-mult: 97.0ms (47.4% of total)

ival-add: 53.0ms (25.9% of total)

ival-sub: 38.0ms (18.6% of total)

ival-true: 6.0ms (2.9% of total)

exact: 5.0ms (2.4% of total)

adjust: 3.0ms (1.5% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain108.0ms (4.6%)

Memory

15.3MiB live, 213.6MiB allocated; 24ms collecting garbage

FPErrors

Click to see full error table

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

32.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 4.0ms (37% of total)

ival-sub: 3.0ms (27.7% of total)

ival-add: 3.0ms (27.7% 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)

preprocess366.0ms (15.5%)

Memory

-10.1MiB live, 326.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	26	43
2	57	41
3	194	40
4	746	36
5	2315	36
6	7181	36
0	6	7
0	9	7
1	13	7
2	24	7
3	72	7
4	260	7
5	1077	7
0	8229	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (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 (+.f64 x #s(literal 1 binary64)) y) x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

series36.0ms (1.5%)

Memory

-33.7MiB live, 13.3MiB allocated; 2ms collecting garbage

Counts

6 → 19

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	y	@	inf	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) x 1 y)
1.0ms	x	@	-inf	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) x 1 y)
1.0ms	y	@	-inf	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) x 1 y)
1.0ms	y	@	0	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) x 1 y)
1.0ms	x	@	inf	((- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) x 1 y)

simplify274.0ms (11.6%)

Memory

23.8MiB live, 304.7MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	86
1	147	86
2	516	86
3	1782	86
4	5836	86
0	8307	76

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

rewrite50.0ms (2.1%)

Memory

12.2MiB live, 57.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	37	18
0	279	18

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 35

Calls

Call 1

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

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

eval4.0ms (0.2%)

Memory: 9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 566 to 133 computations (76.5% saved)

prune2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	4	44

Accuracy

100.0%

Counts

44 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.5%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶	100.0%	(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
▶	63.4%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
▶	45.0%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series12.0ms (0.5%)

Memory

-31.1MiB live, 13.3MiB allocated; 8ms collecting garbage

Counts

14 → 20

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	((- (* (+ x 1) y) x) (neg x) x (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) y (- (* (+ x 1) y) x) (* (+ x 1) y) (+ (* y x) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) 1)
1.0ms	y	@	-inf	((- (* (+ x 1) y) x) (neg x) x (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) y (- (* (+ x 1) y) x) (* (+ x 1) y) (+ (* y x) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) 1)
1.0ms	x	@	-inf	((- (* (+ x 1) y) x) (neg x) x (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) y (- (* (+ x 1) y) x) (* (+ x 1) y) (+ (* y x) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) 1)
1.0ms	x	@	inf	((- (* (+ x 1) y) x) (neg x) x (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) y (- (* (+ x 1) y) x) (* (+ x 1) y) (+ (* y x) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) 1)
1.0ms	y	@	inf	((- (* (+ x 1) y) x) (neg x) x (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) y (- (* (+ x 1) y) x) (* (+ x 1) y) (+ (* y x) y) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) 1)

simplify173.0ms (7.3%)

Memory

8.8MiB live, 193.5MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	91
1	155	91
2	539	91
3	1881	91
4	5966	91
0	8051	80

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 18

Calls

Call 1

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

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

rewrite51.0ms (2.2%)

Memory

25.0MiB live, 83.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	85
0	24	85
1	97	80
0	709	80

Stop Event

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

Counts

14 → 63

Calls

Call 1

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

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

eval11.0ms (0.4%)

Memory: -26.9MiB live, 19.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 591 to 230 computations (85.5% saved)

prune4.0ms (0.2%)

Memory

12.5MiB live, 12.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	77	4	81

Accuracy

100.0%

Counts

81 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.5%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	100.0%	(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
✓	63.4%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
✓	45.0%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Compiler

Compiled 91 to 53 computations (41.8% saved)

regimes7.0ms (0.3%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.3%)

Memory

-30.9MiB live, 15.2MiB allocated; 5ms collecting garbage

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.0%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
98.5%	3	`x`
80.5%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.4%	1	`y`
63.4%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
63.4%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
45.0%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
45.0%	1	`y`
45.0%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch28.0ms (1.2%)

Memory

1.3MiB live, 47.6MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.5514237037008645	3801676012.908379
14.0ms	-85134241.74880892	-0.11874115625332954

Samples

15.0ms

304×

valid

Compiler

Compiled 390 to 353 computations (9.5% saved)

Precisions

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

ival-add: 2.0ms (33.8% of total)

ival-mult: 2.0ms (33.8% of total)

ival-sub: 1.0ms (16.9% 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)

simplify107.0ms (4.5%)

Memory

-13.5MiB live, 56.2MiB allocated; 109ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	35	62
2	47	62
3	95	62
4	347	62
5	2062	62

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Outputs
(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

derivations195.0ms (8.3%)

Memory

-25.0MiB live, 161.0MiB allocated; 42ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 62 to 24 computations (61.3% saved)

preprocess38.0ms (1.6%)

Memory: 4.2MiB live, 83.2MiB allocated; 28ms collecting garbage
Compiler: Compiled 138 to 60 computations (56.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample880.0ms (37.3%)

explain108.0ms (4.6%)

preprocess366.0ms (15.5%)

eval0.0ms (0%)

prune1.0ms (0%)

series36.0ms (1.5%)

simplify274.0ms (11.6%)

rewrite50.0ms (2.1%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

series12.0ms (0.5%)

simplify173.0ms (7.3%)

rewrite51.0ms (2.2%)

eval11.0ms (0.4%)

prune4.0ms (0.2%)

regimes7.0ms (0.3%)

regimes8.0ms (0.3%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch28.0ms (1.2%)

simplify107.0ms (4.5%)

derivations195.0ms (8.3%)

preprocess38.0ms (1.6%)

end0.0ms (0%)

Profiling