Metrics for System.Random.MWC.Distributions:gamma from mwc-random-0.13.3.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
100%	49.9%	0%	0.1%	0%	49.9%	0%	4

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample968.0ms (68.6%)

Memory

5.1MiB live, 1 142.9MiB allocated

Samples

652.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 445.0ms

ival-log: 190.0ms (42.7% of total)

ival-mult: 118.0ms (26.5% of total)

ival-add: 74.0ms (16.6% of total)

ival-sub: 45.0ms (10.1% of total)

exact: 9.0ms (2% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain111.0ms (7.9%)

Memory

-2.5MiB live, 175.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
-	-	`(-.f64 #s(literal 1 binary64) z)`
-	-	`(log.f64 z)`
-	-	`#s(literal 1 binary64)`
-	-	`z`
-	-	`(*.f64 x #s(literal 1/2 binary64))`
-	-	`y`
-	-	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
-	-	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
-	-	`#s(literal 1/2 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

41.0ms

512×

valid

Compiler

Compiled 133 to 48 computations (63.9% saved)

Precisions

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

ival-log: 8.0ms (35.1% of total)

ival-mult: 7.0ms (30.7% of total)

ival-add: 5.0ms (21.9% of total)

ival-sub: 3.0ms (13.2% of total)

ival-true: 1.0ms (4.4% of total)

exact: 1.0ms (4.4% of total)

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

preprocess3.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Outputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
cost-diff	0	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Calls

Call 1

Inputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
y
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(log.f64 z)

Outputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
y
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(log.f64 z)

localize30.0ms (2.1%)

Memory

7.5MiB live, 45.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.0	(log.f64 z)
accuracy	0.01171875	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
accuracy	0.12890625	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Samples

20.0ms

256×

valid

Compiler

Compiled 80 to 24 computations (70% saved)

Precisions

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

ival-log: 3.0ms (28.1% of total)

ival-mult: 3.0ms (28.1% of total)

ival-add: 2.0ms (18.8% of total)

ival-sub: 1.0ms (9.4% of total)

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

exact: 0.0ms (0% of total)

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

series93.0ms (6.6%)

Memory

-4.6MiB live, 149.0MiB allocated

Counts

5 → 24

Calls

Call 1

Inputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(log.f64 z)

Outputs
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(* 1/2 x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(* y (+ 1 (log z)))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(+ 1 (log z))
(+ 1 (+ (log z) (* -1 z)))
(log z)
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(* -1 z)
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(* -1 (log (/ 1 z)))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(+ (log -1) (* -1 (log (/ -1 z))))

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	y	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (* y (+ (- 1 z) (log z))) (+ (- 1 z) (log z)) (log z))
15.0ms	z	@	-inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (* y (+ (- 1 z) (log z))) (+ (- 1 z) (log z)) (log z))
11.0ms	z	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (* y (+ (- 1 z) (log z))) (+ (- 1 z) (log z)) (log z))
8.0ms	x	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (* y (+ (- 1 z) (log z))) (+ (- 1 z) (log z)) (log z))
8.0ms	y	@	-inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (* y (+ (- 1 z) (log z))) (+ (- 1 z) (log z)) (log z))

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

24 → 5

Calls

Call 1

Inputs
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(* 1/2 x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(* y (+ 1 (log z)))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(+ 1 (log z))
(+ 1 (+ (log z) (* -1 z)))
(log z)
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(* -1 z)
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(* -1 (log (/ 1 z)))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(+ (log -1) (* -1 (log (/ -1 z))))

Outputs
(* y (- (+ 1 (log z)) z))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(log.f64 z)

rewrite0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

5 → 5

Calls

Call 1

Inputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(log.f64 z)

Outputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(log.f64 z)

eval1.0ms (0.1%)

Memory: 2.7MiB live, 2.7MiB allocated
Compiler: Compiled 156 to 25 computations (84% saved)

prune2.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	7	3	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	4	11

Accuracy

99.9%

Counts

11 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
▶	3.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
▶	34.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
▶	3.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log.f64 z))

Compiler

Compiled 62 to 54 computations (12.9% saved)

simplify0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 z)
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(log.f64 z)
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log.f64 z))

Calls

Call 1

Inputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log.f64 z))
(log.f64 z)
z
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(log.f64 z)

Outputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log.f64 z))
(log.f64 z)
z
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(log.f64 z)

localize35.0ms (2.5%)

Memory

-29.5MiB live, 50.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) z)
accuracy	0.0	(log.f64 z)
accuracy	0.01171875	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
accuracy	61.84189869523483	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	41.95097031782537	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0.0	(log.f64 z)
accuracy	62.072836636690376	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log.f64 z))

Samples

26.0ms

256×

valid

Compiler

Compiled 130 to 33 computations (74.6% saved)

Precisions

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

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

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

ival-add: 2.0ms (18.5% of total)

ival-sub: 1.0ms (9.2% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (2.1%)

Memory

14.1MiB live, 53.2MiB allocated

Counts

7 → 24

Calls

Call 1

Inputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log.f64 z))
(log.f64 z)
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(-.f64 #s(literal 1 binary64) z)

Outputs
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(* 1/2 x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(log z)
(+ 1 (log z))
(+ 1 (+ (log z) (* -1 z)))
1
(+ 1 (* -1 z))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* -1 (log (/ 1 z)))
(* -1 z)
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(* z (- (/ 1 z) 1))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(+ (log -1) (* -1 (log (/ -1 z))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(* -1 (* z (- 1 (/ 1 z))))

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (- 1 z) (log z)) (- 1 z))
7.0ms	z	@	-inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (- 1 z) (log z)) (- 1 z))
6.0ms	z	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (- 1 z) (log z)) (- 1 z))
2.0ms	x	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (- 1 z) (log z)) (- 1 z))
2.0ms	y	@	inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (- 1 z) (log z)) (- 1 z))

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

24 → 7

Calls

Call 1

Inputs
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(* 1/2 x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(log z)
(+ 1 (log z))
(+ 1 (+ (log z) (* -1 z)))
1
(+ 1 (* -1 z))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* -1 (log (/ 1 z)))
(* -1 z)
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(* z (- (/ 1 z) 1))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(+ (log -1) (* -1 (log (/ -1 z))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(* -1 (* z (- 1 (/ 1 z))))

Outputs
(* y (- (+ 1 (log z)) z))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log.f64 z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(log.f64 z)
(* 1/2 x)
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(-.f64 #s(literal 1 binary64) z)

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

7 → 7

Calls

Call 1

Inputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log.f64 z))
(log.f64 z)
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(-.f64 #s(literal 1 binary64) z)

Outputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log.f64 z))
(log.f64 z)
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(-.f64 #s(literal 1 binary64) z)

eval1.0ms (0.1%)

Memory: 2.2MiB live, 2.2MiB allocated
Compiler: Compiled 247 to 25 computations (89.9% saved)

prune3.0ms (0.2%)

Memory

3.8MiB live, 3.8MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	11	5	16

Accuracy

99.9%

Counts

16 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
▶	3.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))
✓	3.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
✓	34.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
✓	3.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log.f64 z))

Compiler

Compiled 78 to 68 computations (12.8% saved)

simplify0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))

Calls

Call 1

Inputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z

Outputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z

localize27.0ms (1.9%)

Memory

-9.2MiB live, 27.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 #s(literal 1 binary64) z)
accuracy	61.75893644709795	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))

Samples

21.0ms

256×

valid

Compiler

Compiled 40 to 27 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 6.0ms (42% of total)

ival-log: 3.0ms (21% of total)

ival-mult: 3.0ms (21% of total)

ival-sub: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.9%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

2 → 17

Calls

Call 1

Inputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)

Outputs
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(* 1/2 x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
1
(+ 1 (* -1 z))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (- 1 (/ 1 z))))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (- 1 z))
2.0ms	x	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (- 1 z))
1.0ms	z	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (- 1 z))
1.0ms	y	@	-inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (- 1 z))
1.0ms	y	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (- 1 z))

simplify0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Counts

17 → 2

Calls

Call 1

Inputs
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(* 1/2 x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
1
(+ 1 (* -1 z))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (- 1 (/ 1 z))))

Outputs
(* y (- (+ 1 (log z)) z))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(-.f64 #s(literal 1 binary64) z)

rewrite0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)

Outputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 61 to 15 computations (75.4% saved)

prune3.0ms (0.2%)

Memory

3.5MiB live, 3.5MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	3	0	3
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	3	5	8

Accuracy

99.9%

Counts

8 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
✓	3.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))
✓	3.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
✓	34.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
✓	3.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log.f64 z))

Compiler

Compiled 156 to 91 computations (41.7% saved)

regimes21.0ms (1.5%)

Memory

-15.2MiB live, 25.1MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log.f64 z))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Outputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Calls

7 calls:

7.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
2.0ms	(*.f64 x #s(literal 1/2 binary64))
2.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
2.0ms	z

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
99.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.9%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes14.0ms (1%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log.f64 z))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Outputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))

Calls

7 calls:

2.0ms	y
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
2.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
2.0ms	(*.f64 x #s(literal 1/2 binary64))
2.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Results

Accuracy	Segments	Branch
34.5%	1	`x`
34.5%	1	`y`
34.5%	1	`z`
34.5%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
34.5%	1	`(*.f64 x #s(literal 1/2 binary64))`
34.5%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
34.5%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes12.0ms (0.8%)

Memory

-20.1MiB live, 17.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))

Outputs
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))

Calls

7 calls:

4.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
1.0ms	(*.f64 x #s(literal 1/2 binary64))
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
1.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
1.0ms	z

Results

Accuracy	Segments	Branch
3.5%	1	`z`
3.5%	1	`x`
3.5%	1	`(*.f64 x #s(literal 1/2 binary64))`
3.5%	1	`y`
3.5%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
3.5%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
3.5%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`

Compiler

Compiled 32 to 40 computations (-25% saved)

simplify5.0ms (0.4%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs

(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))

#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))

Outputs

(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))

#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (-.f64 #s(literal 1 binary64) z))

soundness1.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB allocated

Stop Event

1×

done

Compiler

Compiled 44 to 21 computations (52.3% saved)

preprocess32.0ms (2.2%)

Memory: 5.1MiB live, 42.7MiB allocated
Compiler: Compiled 136 to 84 computations (38.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0.1%)

sample968.0ms (68.6%)

explain111.0ms (7.9%)

preprocess3.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize30.0ms (2.1%)

series93.0ms (6.6%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

simplify0.0ms (0%)

localize35.0ms (2.5%)

series30.0ms (2.1%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune3.0ms (0.2%)

simplify0.0ms (0%)

localize27.0ms (1.9%)

series13.0ms (0.9%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

regimes21.0ms (1.5%)

regimes14.0ms (1%)

regimes12.0ms (0.8%)

simplify5.0ms (0.4%)

soundness1.0ms (0.1%)

preprocess32.0ms (2.2%)

end0.0ms (0%)

Profiling