Metrics for Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB 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
100%	49.9%	0%	0.1%	0%	49.9%	0%	3

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample824.0ms (54.5%)

Memory

20.6MiB live, 1 278.0MiB allocated

Samples

533.0ms	8 253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 332.0ms

ival-log: 110.0ms (33.2% of total)

ival-add: 85.0ms (25.6% of total)

ival-sub: 72.0ms (21.7% of total)

ival-mult: 51.0ms (15.4% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain120.0ms (7.9%)

Memory

-55.1MiB live, 226.0MiB allocated

FPErrors

Click to see full error table

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

38.0ms

512×

valid

Compiler

Compiled 151 to 44 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log: 7.0ms (33% of total)

ival-add: 5.0ms (23.6% of total)

ival-sub: 4.0ms (18.9% of total)

ival-mult: 4.0ms (18.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess3.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Calls

Call 1

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

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

localize27.0ms (1.8%)

Memory

6.6MiB live, 45.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
accuracy	0.01171875	(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
accuracy	0.09375	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
accuracy	0.12109375	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))

Samples

20.0ms

256×

valid

Compiler

Compiled 92 to 22 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 4.0ms (34.4% of total)

ival-log: 3.0ms (25.8% of total)

ival-add: 3.0ms (25.8% of total)

ival-mult: 2.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (1.5%)

Memory

-4.1MiB live, 34.5MiB allocated

Counts

4 → 38

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)))
4.0ms	y	@	0	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)))
3.0ms	y	@	-inf	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)))
2.0ms	y	@	inf	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)))
1.0ms	x	@	inf	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)))

simplify1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	egg-herbie

Counts

38 → 4

Calls

Call 1

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

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

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.6MiB live, 1.6MiB allocated
Compiler: Compiled 136 to 23 computations (83.1% saved)

prune1.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	5	3	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	4	9

Accuracy

99.8%

Counts

9 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
▶	81.5%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z)
▶	28.7%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z)
▶	71.8%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y))

Compiler

Compiled 75 to 58 computations (22.7% saved)

simplify1.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Calls

Call 1

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

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

localize39.0ms (2.6%)

Memory

-27.1MiB live, 48.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z)
accuracy	0.01171875	(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
accuracy	0.12109375	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
accuracy	14.840676523958672	#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
accuracy	0.0	(log.f64 y)
accuracy	0.00390625	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z)
accuracy	0.12109375	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
accuracy	62.77715739272341	#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
accuracy	0.01171875	(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
accuracy	0.09375	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
accuracy	0.12109375	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
accuracy	17.938131458553674	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y))

Samples

22.0ms

256×

valid

Compiler

Compiled 295 to 33 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 3.0ms (29.8% of total)

ival-add: 3.0ms (29.8% of total)

ival-sub: 2.0ms (19.8% of total)

ival-mult: 2.0ms (19.8% of total)

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

exact: 0.0ms (0% of total)

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

series53.0ms (3.5%)

Memory

38.1MiB live, 74.2MiB allocated

Counts

10 → 45

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	y	@	0	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ y 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (log y))
15.0ms	y	@	-inf	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ y 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (log y))
11.0ms	y	@	inf	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ y 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (log y))
2.0ms	x	@	0	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ y 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (log y))
1.0ms	z	@	0	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ y 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (log y))

simplify1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Counts

45 → 10

Calls

Call 1

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

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

rewrite4.0ms (0.3%)

Memory

-35.3MiB live, 1.1MiB allocated

Counts

10 → 10

Calls

Call 1

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

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

eval3.0ms (0.2%)

Memory: 5.4MiB live, 5.4MiB allocated
Compiler: Compiled 724 to 43 computations (94.1% saved)

prune5.0ms (0.3%)

Memory

8.6MiB live, 8.6MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	23	8	31

Accuracy

99.8%

Counts

31 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
✓	81.5%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z)
▶	28.9%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))) z)
✓	71.8%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y))
▶	2.1%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y)) y))
▶	3.9%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(literal 1/2 binary64)))
▶	53.7%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))
▶	2.1%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))

Compiler

Compiled 312 to 189 computations (39.4% saved)

simplify1.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Calls

Call 1

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

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

localize42.0ms (2.8%)

Memory

9.5MiB live, 51.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 y)
accuracy	0.12109375	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
accuracy	17.938131458553674	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
accuracy	62.77715739272341	#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
accuracy	0.0	(log.f64 y)
accuracy	0.00390625	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))) z)
accuracy	14.840676523958672	#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y)))
accuracy	62.7638469974938	#s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))
accuracy	0.0	(log.f64 y)
accuracy	0.09375	(+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y)) y)
accuracy	17.938131458553674	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y)) y))
accuracy	62.7638469974938	#s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))
accuracy	0.0	(+.f64 y #s(literal 1/2 binary64))
accuracy	61.48708144568756	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(literal 1/2 binary64)))
accuracy	0.01171875	(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
accuracy	0.12109375	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
accuracy	14.840676523958672	#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
accuracy	17.938131458553674	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))

Samples

30.0ms

256×

valid

Compiler

Compiled 433 to 37 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 3.0ms (29.9% of total)

ival-add: 3.0ms (29.9% of total)

ival-sub: 2.0ms (20% of total)

ival-mult: 2.0ms (20% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (2.2%)

Memory

15.4MiB live, 52.4MiB allocated

Counts

14 → 45

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	y	@	0	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ y 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y))
7.0ms	y	@	-inf	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ y 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y))
7.0ms	y	@	inf	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ y 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y))
2.0ms	x	@	0	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ y 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y))
1.0ms	z	@	0	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ y 1/2) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (log y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y))

simplify4.0ms (0.3%)

Memory

-36.5MiB live, 1.4MiB allocated

Algorithm

1×	egg-herbie

Counts

45 → 14

Calls

Call 1

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

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

rewrite1.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated

Counts

14 → 14

Calls

Call 1

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

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

eval3.0ms (0.2%)

Memory: 5.4MiB live, 5.4MiB allocated
Compiler: Compiled 885 to 40 computations (95.5% saved)

prune5.0ms (0.4%)

Memory

9.0MiB live, 9.0MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	27	8	35

Accuracy

99.8%

Counts

35 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
✓	81.5%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z)
✓	28.9%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))) z)
✓	71.8%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y))
✓	3.9%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(literal 1/2 binary64)))
✓	53.7%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))
✓	2.1%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
▶	2.1%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))))

Compiler

Compiled 193 to 116 computations (39.9% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Calls

Call 1

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

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

localize25.0ms (1.7%)

Memory

-6.3MiB live, 31.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 y)
accuracy	14.840676523958672	#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y)))
accuracy	17.938131458553674	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))))
accuracy	62.7638469974938	#s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))

Samples

19.0ms

256×

valid

Compiler

Compiled 106 to 26 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 3.0ms (30.2% of total)

ival-add: 3.0ms (30.2% of total)

ival-sub: 2.0ms (20.1% of total)

ival-mult: 2.0ms (20.1% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (2.3%)

Memory

3.5MiB live, 47.6MiB allocated

Counts

4 → 35

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	y	@	-inf	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (log y))
6.0ms	y	@	inf	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (log y))
6.0ms	y	@	0	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (log y))
1.0ms	x	@	0	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (log y))
1.0ms	z	@	0	((- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (log y))

simplify1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Counts

35 → 4

Calls

Call 1

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

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

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.4MiB live, 1.4MiB allocated
Compiler: Compiled 214 to 17 computations (92.1% saved)

prune5.0ms (0.3%)

Memory

8.4MiB live, 8.4MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	6	8	14

Accuracy

99.8%

Counts

14 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
✓	81.5%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z)
✓	28.9%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))) z)
✓	71.8%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y))
✓	3.9%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(literal 1/2 binary64)))
✓	53.7%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))))
✓	2.1%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))
✓	2.1%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))))

Compiler

Compiled 431 to 147 computations (65.9% saved)

regimes22.0ms (1.5%)

Memory

-5.8MiB live, 32.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	z
4.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
4.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
99.8%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes21.0ms (1.4%)

Memory

-2.0MiB live, 35.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

6.0ms	z
4.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
4.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
81.5%	1	`x`
92.2%	2	`y`
94.7%	3	`z`
85.6%	2	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
91.9%	2	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes13.0ms (0.9%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

3.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
3.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
71.8%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
71.8%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
71.8%	1	`y`
87.0%	3	`z`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes20.0ms (1.3%)

Memory

-9.4MiB live, 27.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

8.0ms	z
3.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
3.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
53.7%	1	`y`
53.7%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
53.7%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
53.7%	1	`x`
71.5%	3	`z`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes3.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
71.5%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes18.0ms (1.2%)

Memory

-19.7MiB live, 23.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
2.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
28.9%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
28.9%	1	`x`
28.9%	1	`y`
28.9%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
28.9%	1	`z`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes9.0ms (0.6%)

Memory

19.3MiB live, 19.3MiB allocated

Accuracy

Total -1.8b remaining (-2.9%)

Threshold costs -1.8b (-2.9%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
3.9%	1	`x`
3.9%	1	`z`
3.9%	1	`y`
3.9%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
3.9%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`

Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch26.0ms (1.7%)

Memory

-27.9MiB live, 49.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.1873129536972924e+47	8.281017378003171e+47
15.0ms	-1.8462663231717604e+27	-1.0496933365361554e+26

Samples

16.0ms

192×

valid

Compiler

Compiled 543 to 436 computations (19.7% saved)

Precisions

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

ival-mult: 5.0ms (45.1% of total)

ival-sub: 2.0ms (18% of total)

ival-log: 2.0ms (18% of total)

ival-add: 2.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (1.8%)

Memory

26.5MiB live, 65.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.0538095317138835e+117	5.375868613830305e+126
10.0ms	-1.6097144520440258e+113	-1.2898172917203825e+112

Samples

15.0ms

240×

valid

Compiler

Compiled 690 to 508 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log: 3.0ms (32.3% of total)

ival-sub: 2.0ms (21.5% of total)

ival-add: 2.0ms (21.5% of total)

ival-mult: 1.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (2.1%)

Memory

-26.7MiB live, 55.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.3546266043979128e+23	2.8514613571410374e+27
15.0ms	-2.2644619786552317e+106	-7.104132782556067e+103

Samples

18.0ms

256×

valid

Compiler

Compiled 871 to 544 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 3.0ms (30.7% of total)

ival-sub: 2.0ms (20.5% of total)

ival-add: 2.0ms (20.5% of total)

ival-mult: 2.0ms (20.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.3546266043979128e+23	2.8514613571410374e+27
1.0ms	-2.2644619786552317e+106	-7.104132782556067e+103

Compiler

Compiled 911 to 528 computations (42% saved)

simplify5.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(if (<=.f64 z #s(literal -108000000000000000335544320 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z) (if (<=.f64 z #s(literal 219999999999999993420157786995427078861689454592 binary64)) #s(approx (- (+ (- x ( (+ y 1/2) (log y))) y) z) (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)) (-.f64 #s(approx (+ (- x ( (+ y 1/2) (log y))) y) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z)))
(if (<=.f64 z #s(literal -125000000000000001944927016183355378033525174615132679171221322553854222645594462908123173739380930959525785108480 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z) (if (<=.f64 z #s(literal 6600000000000000058383276219977663262712248583193472306159972959050431206760903257182208985882189172193062004335540428603392 binary64)) #s(approx (- (+ (- x ( (+ y 1/2) (log y))) y) z) (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)) (-.f64 #s(approx (+ (- x ( (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))) z)))
(if (<=.f64 z #s(literal -1319999999999999938871316852717072535916133005196985921863313337210672875569876115544416093938525958832128 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z) (if (<=.f64 z #s(literal 11999999999999999798673408 binary64)) #s(approx (- (+ (- x ( (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (-.f64 #s(approx (+ (- x ( (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))) z)))
(if (<=.f64 z #s(literal -1319999999999999938871316852717072535916133005196985921863313337210672875569876115544416093938525958832128 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))) z) (if (<=.f64 z #s(literal 11999999999999999798673408 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (-.f64 #s(approx (+ (- x ( (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))) z)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(literal 1/2 binary64)))

Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(if (<=.f64 z #s(literal -108000000000000000335544320 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z) (if (<=.f64 z #s(literal 219999999999999993420157786995427078861689454592 binary64)) #s(approx (- (+ (- x ( (+ y 1/2) (log y))) y) z) (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)) (-.f64 #s(approx (+ (- x ( (+ y 1/2) (log y))) y) (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z)))
(if (<=.f64 z #s(literal -125000000000000001944927016183355378033525174615132679171221322553854222645594462908123173739380930959525785108480 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z) (if (<=.f64 z #s(literal 6600000000000000058383276219977663262712248583193472306159972959050431206760903257182208985882189172193062004335540428603392 binary64)) #s(approx (- (+ (- x ( (+ y 1/2) (log y))) y) z) (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)) (-.f64 #s(approx (+ (- x ( (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))) z)))
(if (<=.f64 z #s(literal -1319999999999999938871316852717072535916133005196985921863313337210672875569876115544416093938525958832128 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z) (if (<=.f64 z #s(literal 11999999999999999798673408 binary64)) #s(approx (- (+ (- x ( (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (-.f64 #s(approx (+ (- x ( (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))) z)))
(if (<=.f64 z #s(literal -1319999999999999938871316852717072535916133005196985921863313337210672875569876115544416093938525958832128 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))) z) (if (<=.f64 z #s(literal 11999999999999999798673408 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))))) (-.f64 #s(approx (+ (- x ( (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))) z)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (- x (* (+ y 1/2) (log y))) (log.f64 y))) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 y #s(literal 1/2 binary64)))

soundness2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Stop Event

1×

done

Compiler

Compiled 370 to 46 computations (87.6% saved)

preprocess46.0ms (3.1%)

Memory: 7.3MiB live, 84.1MiB allocated
Compiler: Compiled 788 to 132 computations (83.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0.1%)

sample824.0ms (54.5%)

explain120.0ms (7.9%)

preprocess3.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize27.0ms (1.8%)

series22.0ms (1.5%)

simplify1.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify1.0ms (0.1%)

localize39.0ms (2.6%)

series53.0ms (3.5%)

simplify1.0ms (0%)

rewrite4.0ms (0.3%)

eval3.0ms (0.2%)

prune5.0ms (0.3%)

simplify1.0ms (0.1%)

localize42.0ms (2.8%)

series33.0ms (2.2%)

simplify4.0ms (0.3%)

rewrite1.0ms (0.1%)

eval3.0ms (0.2%)

prune5.0ms (0.4%)

simplify0.0ms (0%)

localize25.0ms (1.7%)

series34.0ms (2.3%)

simplify1.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune5.0ms (0.3%)

regimes22.0ms (1.5%)

regimes21.0ms (1.4%)

regimes13.0ms (0.9%)

regimes20.0ms (1.3%)

regimes3.0ms (0.2%)

regimes18.0ms (1.2%)

regimes9.0ms (0.6%)

bsearch26.0ms (1.7%)

bsearch28.0ms (1.8%)

bsearch32.0ms (2.1%)

bsearch2.0ms (0.1%)

simplify5.0ms (0.3%)

soundness2.0ms (0.1%)

preprocess46.0ms (3.1%)

end0.0ms (0%)

Profiling