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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

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)

sample1.1s (13.1%)

Memory

27.5MiB live, 1 447.1MiB allocated

Samples

781.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 576.0ms

ival-add: 297.0ms (51.6% of total)

ival-log: 108.0ms (18.7% of total)

ival-sub: 97.0ms (16.8% of total)

ival-mult: 60.0ms (10.4% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain191.0ms (2.2%)

Memory

12.0MiB live, 222.9MiB 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

65.0ms

512×

valid

Compiler

Compiled 106 to 34 computations (67.9% saved)

Precisions

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

ival-log: 7.0ms (33.9% of total)

ival-sub: 5.0ms (24.2% of total)

ival-add: 5.0ms (24.2% of total)

ival-mult: 3.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess179.0ms (2.1%)

Memory

-6.0MiB live, 150.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	119
1	122	113
2	469	111
3	2025	110
4	5437	110
5	6897	110
0	10	12
0	16	12
1	30	12
2	80	12
3	291	12
4	827	12
5	2176	12
6	3121	12
7	3770	12
8	3849	12
9	3850	12
10	3850	12
11	3888	12
12	3897	12
13	3897	12
0	3897	11

Stop Event

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

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.5MiB live, 2.5MiB 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)

simplify148.0ms (1.7%)

Memory

-31.3MiB live, 54.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.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)
cost-diff	128	(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
0	16	45
1	30	45
2	80	45
3	291	45
4	827	45
5	2176	45
6	3121	45
7	3770	45
8	3849	45
9	3850	45
10	3850	45
11	3888	45
12	3897	45
13	3897	45
0	3897	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize25.0ms (0.3%)

Memory

23.6MiB live, 23.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 y)
accuracy	0.0078125	(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
accuracy	0.11328125	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
accuracy	0.16796875	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))

Samples

18.0ms

256×

valid

Compiler

Compiled 47 to 12 computations (74.5% saved)

Precisions

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

ival-log: 3.0ms (30.1% of total)

ival-add: 3.0ms (30.1% 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)

series110.0ms (1.3%)

Memory

-4.9MiB live, 113.2MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#s(alt (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())

Outputs
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- x (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/2 (log y))) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (log y)) (taylor 0 y) (#s(alt (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log y)) (* y (log y))) (taylor 0 y) (#s(alt (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log y)) (* y (log y))) (taylor 0 y) (#s(alt (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log y)) (* y (log y))) (taylor 0 y) (#s(alt (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (log (/ 1 y))) (taylor inf y) (#s(alt (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (* -1 (log (/ 1 y))))) (taylor inf y) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) (taylor inf y) (#s(alt (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
46.0ms	y	@	-inf	((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y)) (log y))
37.0ms	y	@	0	((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y)) (log y))
8.0ms	y	@	inf	((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y)) (log y))
6.0ms	z	@	0	((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y)) (log y))
4.0ms	z	@	inf	((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y)) (log y))

simplify152.0ms (1.8%)

Memory

13.2MiB live, 170.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	1382
1	415	1240
2	1319	1149
3	4704	1118
0	8534	1035

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 102

Calls

Call 1

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

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

rewrite176.0ms (2%)

Memory

-21.0MiB live, 248.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	16	38
1	79	38
2	699	38
0	8843	35

Stop Event

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

Counts

5 → 355

Calls

Call 1

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

Outputs
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eval106.0ms (1.2%)

Memory: 14.1MiB live, 94.5MiB allocated
Compiler: Compiled 13 591 to 1 438 computations (89.4% saved)

prune38.0ms (0.4%)

Memory

7.9MiB live, 47.4MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	442	15	457
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	443	15	458

Accuracy

100.0%

Counts

458 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) (-.f64 y z))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
	99.8%	(-.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) z)
	56.3%	(-.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y) z)
▶	71.6%	(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z)
▶	85.5%	(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
▶	99.8%	(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z)
	62.1%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
▶	61.3%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
	77.7%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x))
	76.9%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
	74.8%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
	74.3%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))) z))
	39.1%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
▶	24.0%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))

Compiler

Compiled 396 to 316 computations (20.2% saved)

simplify209.0ms (2.4%)

Memory

18.9MiB live, 96.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
cost-diff	0	(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y)
cost-diff	0	(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z)
cost-diff	128	(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))
cost-diff	0	(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)))
cost-diff	0	(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y)
cost-diff	0	(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
cost-diff	0	(-.f64 #s(literal 1 binary64) (log.f64 y))
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
cost-diff	0	#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
cost-diff	0	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
cost-diff	0	(-.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)
cost-diff	0	(+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))
cost-diff	0	(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	247
0	58	247
1	111	244
2	268	244
3	774	244
4	2061	244
5	4144	244
6	6301	244
7	7346	244
8	7993	244
0	8042	241

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z)
(+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))
x
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(neg.f64 z)
z
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
(-.f64 #s(literal 1 binary64) (log.f64 y))
#s(literal 1 binary64)
(log.f64 y)
y
z
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y)
(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)))
x
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
y
z
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z)
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y)
(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
x
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))
(fma.f64 y y #s(literal -1/4 binary64))
y
#s(literal -1/4 binary64)
(log.f64 y)
(-.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
z

Outputs
(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z)
(-.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y) z)
(+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y)
x
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(neg.f64 z)
z
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
(-.f64 #s(literal 1 binary64) (log.f64 y))
#s(literal 1 binary64)
(log.f64 y)
y
z
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
(-.f64 (-.f64 (+.f64 y x) z) #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)))
(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y)
(-.f64 (+.f64 y x) #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)))
(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)))
x
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
y
z
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z)
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (-.f64 (+.f64 y x) z))
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y)
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (+.f64 y x))
(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 y) x)
x
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))
(fma.f64 y y #s(literal -1/4 binary64))
y
#s(literal -1/4 binary64)
(log.f64 y)
(-.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
z

localize339.0ms (3.9%)

Memory

-47.0MiB live, 175.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
accuracy	0.0859375	(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))
accuracy	0.11328125	(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y)
accuracy	18.158404783433316	(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
accuracy	0.0078125	(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)))
accuracy	0.11328125	(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y)
accuracy	0.26953125	(*.f64 (log.f64 y) y)
accuracy	28.440830173339595	#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))
accuracy	0	(log.f64 y)
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (log.f64 y))
accuracy	0.28125	(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
accuracy	34.64705260646717	#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
accuracy	0	(neg.f64 z)
accuracy	48.654579515400364	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
accuracy	0	(-.f64 #s(literal -1/2 binary64) y)
accuracy	0	(log.f64 y)
accuracy	0.0078125	(+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))
accuracy	0.13671875	(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)

Samples

147.0ms

256×

valid

Compiler

Compiled 221 to 32 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-log: 56.0ms (43.1% of total)

ival-sub: 55.0ms (42.4% of total)

ival-mult: 8.0ms (6.2% of total)

ival-add: 6.0ms (4.6% of total)

ival-div: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series119.0ms (1.4%)

Memory

4.4MiB live, 125.6MiB allocated

Counts

21 → 444

Calls

Call 1

Inputs
#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())
#s(alt (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) (patch (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1/2 binary64) y) (patch (-.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (patch (-.f64 #s(approx (+ (- x ( (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (patch #s(approx (+ (- x ( (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) (patch (.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 y)) (patch (-.f64 #s(literal 1 binary64) (log.f64 y)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx ( (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (.f64 (log.f64 y) y))) y) (patch (+.f64 (-.f64 x #s(approx ( (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (* (+ y 1/2) (log y)) (.f64 (log.f64 y) y))) (patch (-.f64 x #s(approx ( (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ y 1/2) (log y)) (.f64 (log.f64 y) y)) (patch #s(approx ( (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) (patch (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 y) y) (patch (.f64 (log.f64 y) y) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())

Outputs
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (patch (-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (patch (-.f64 #s(approx (+ (- x ( (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (patch (-.f64 #s(approx (+ (- x ( (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (patch (-.f64 #s(approx (+ (- x ( (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (patch (-.f64 #s(approx (+ (- x ( (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx ( (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx ( (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx ( (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx ( (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	y	@	0	((- (+ x (+ (* (- -1/2 y) (log y)) y)) z) (+ x (+ (* (- -1/2 y) (log y)) y)) (+ (* (- -1/2 y) (log y)) y) (- -1/2 y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (- 1 (log y)) y) (- 1 (log y)) (- (+ (- 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 y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (log y) (* (log y) y) (* (+ (* y y) -1/4) (log y)))
27.0ms	y	@	inf	((- (+ x (+ (* (- -1/2 y) (log y)) y)) z) (+ x (+ (* (- -1/2 y) (log y)) y)) (+ (* (- -1/2 y) (log y)) y) (- -1/2 y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (- 1 (log y)) y) (- 1 (log y)) (- (+ (- 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 y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (log y) (* (log y) y) (* (+ (* y y) -1/4) (log y)))
11.0ms	y	@	-inf	((- (+ x (+ (* (- -1/2 y) (log y)) y)) z) (+ x (+ (* (- -1/2 y) (log y)) y)) (+ (* (- -1/2 y) (log y)) y) (- -1/2 y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (- 1 (log y)) y) (- 1 (log y)) (- (+ (- 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 y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (log y) (* (log y) y) (* (+ (* y y) -1/4) (log y)))
3.0ms	z	@	0	((- (+ x (+ (* (- -1/2 y) (log y)) y)) z) (+ x (+ (* (- -1/2 y) (log y)) y)) (+ (* (- -1/2 y) (log y)) y) (- -1/2 y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (- 1 (log y)) y) (- 1 (log y)) (- (+ (- 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 y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (log y) (* (log y) y) (* (+ (* y y) -1/4) (log y)))
2.0ms	x	@	0	((- (+ x (+ (* (- -1/2 y) (log y)) y)) z) (+ x (+ (* (- -1/2 y) (log y)) y)) (+ (* (- -1/2 y) (log y)) y) (- -1/2 y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (- 1 (log y)) y) (- 1 (log y)) (- (+ (- 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 y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (log y) (* (log y) y) (* (+ (* y y) -1/4) (log y)))

simplify412.0ms (4.8%)

Memory

-5.6MiB live, 189.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	288	6082
1	945	5563
2	2888	5294
0	8141	4935

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 422

Calls

Call 1

Inputs
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(* -1 z)
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))
(- (+ x (* -1/2 (log y))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(+ x (* -1/2 (log y)))
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(* -1/2 (log y))
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))
(+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))
-1/2
(- (* -1 y) 1/2)
(- (* -1 y) 1/2)
(- (* -1 y) 1/2)
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ 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 (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(* y (- 1 (log y)))
(* y (- 1 (log y)))
(* y (- 1 (log y)))
(* y (- 1 (log y)))
(- 1 (log y))
(- 1 (log y))
(- 1 (log y))
(- 1 (log y))
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ 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 (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- x (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(- (+ x (* -1 (* y (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 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(- x (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))
(- x (* 1/2 (log y)))
(- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y)))
(- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y)))
(- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y)))
(* 1/2 (log y))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(log y)
(log y)
(log y)
(log y)
(* y (log y))
(* y (log y))
(* y (log y))
(* y (log y))
(* -1/4 (log y))
(+ (* -1/4 (log y)) (* (pow y 2) (log y)))
(+ (* -1/4 (log y)) (* (pow y 2) (log y)))
(+ (* -1/4 (log y)) (* (pow y 2) (log y)))
(* y (+ 1 (log (/ 1 y))))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (+ 1 (log (/ 1 y))))
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(* y (+ 1 (log (/ 1 y))))
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))))
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))))
(* y (+ 1 (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1 (* 1/2 (/ 1 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)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z 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)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(- 1 (* -1 (log (/ 1 y))))
(- 1 (* -1 (log (/ 1 y))))
(- 1 (* -1 (log (/ 1 y))))
(- 1 (* -1 (log (/ 1 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)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) 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)))))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) 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 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (log (/ 1 y)))
(* y (- (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)) (* -1 (log (/ 1 y)))))
(* y (- (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)) (* -1 (log (/ 1 y)))))
(* y (- (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)) (* -1 (log (/ 1 y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y))))
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y))))
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (+ (* -1 (log (/ 1 y))) (/ z y))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))) (* -1 (log (/ 1 y)))))
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* (pow y 2) (log (/ 1 y))))
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))
(* (pow y 2) (+ (* -1 (log (/ 1 y))) (* 1/4 (/ (log (/ 1 y)) (pow y 2)))))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
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x
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x
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
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(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
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x
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
x
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x)))
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(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
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(fma.f64 (neg.f64 x) (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x)
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(* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y) z)) x)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y) z)) x)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y) z)) x)))
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rewrite161.0ms (1.9%)

Memory

27.3MiB live, 255.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	218
0	58	206
1	309	193
2	3089	193
0	8892	192

Stop Event

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

Counts

21 → 760

Calls

Call 1

Inputs
(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z)
(+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)
(-.f64 #s(literal -1/2 binary64) y)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(neg.f64 z)
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
(-.f64 #s(literal 1 binary64) (log.f64 y))
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y)
(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)))
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))
(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z)
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y)
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
(log.f64 y)
(*.f64 (log.f64 y) y)
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))

Outputs
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eval249.0ms (2.9%)

Memory: 0.0MiB live, 394.2MiB allocated
Compiler: Compiled 37 518 to 2 510 computations (93.3% saved)

prune44.0ms (0.5%)

Memory

4.8MiB live, 130.4MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1 217	10	1 227
Fresh	3	7	10
Picked	3	2	5
Done	0	0	0
Total	1 223	19	1 242

Accuracy

100.0%

Counts

1 242 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) (-.f64 y z))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
	85.5%	(-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z)
▶	99.8%	(-.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) z)
▶	56.3%	(-.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y) z)
▶	84.9%	(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
	62.1%	(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
	85.0%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) x x)) z)
	59.8%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 3 binary64))) y) (fma.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 1 binary64)))) z)
	60.5%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (log.f64 y)))) z)
	61.1%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 y))) (.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 #s(literal 1 binary64) (log.f64 y)))) y)) z)
✓	61.3%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
	52.0%	#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))))
	39.1%	#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
▶	76.9%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
▶	10.6%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
	74.8%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
	74.3%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))) z))
✓	24.0%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))

Compiler

Compiled 546 to 414 computations (24.2% saved)

simplify158.0ms (1.8%)

Memory

2.6MiB live, 166.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)))
cost-diff	0	(+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y)
cost-diff	0	(-.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y) z)
cost-diff	14592	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x))
cost-diff	0	#s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x))
cost-diff	0	(+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y)
cost-diff	0	(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
cost-diff	1024	(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)
cost-diff	0	(log.f64 y)
cost-diff	0	(-.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
cost-diff	0	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
cost-diff	0	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 z z))
cost-diff	192	(+.f64 #s(literal 0 binary64) z)
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
cost-diff	0	(-.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
cost-diff	0	(+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y)
cost-diff	0	(-.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) z)

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	339
0	69	287
1	138	282
2	338	274
3	1012	274
4	4250	262
5	7362	262
0	8284	262

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) z)
(+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y)
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
x
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
#s(literal 0 binary64)
(*.f64 z z)
z
(+.f64 #s(literal 0 binary64) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
(+.f64 y x)
x
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
(+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y)
#s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) y) x)
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
x
(log.f64 y)
#s(literal 1 binary64)
z
(-.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y) z)
(+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y)
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x))
(-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)))
(*.f64 x x)
x
(pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y))
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
#s(literal 2 binary64)
(fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)
(+.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
z

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

localize103.0ms (1.2%)

Memory

-11.8MiB live, 222.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y))
accuracy	0.3873825195368841	(pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))
accuracy	2.605452236641647	(-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)))
accuracy	27.835111560399838	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x))
accuracy	0.00390625	(/.f64 (-.f64 #s(literal -1/2 binary64) y) x)
accuracy	0.11328125	(+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y)
accuracy	0.1953125	(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64))
accuracy	9.6760517257728	(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)
accuracy	0	(+.f64 y x)
accuracy	0	(log.f64 y)
accuracy	0.125	(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
accuracy	14.692254595340867	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
accuracy	0	(+.f64 #s(literal 0 binary64) z)
accuracy	0	(*.f64 z z)
accuracy	27.101502395640956	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
accuracy	48.654579515400364	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
accuracy	0	(-.f64 #s(literal -1/2 binary64) y)
accuracy	0	(log.f64 y)
accuracy	0.11328125	(+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y)
accuracy	0.1328125	(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)

Samples

72.0ms

256×

valid

Compiler

Compiled 295 to 40 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 16.0ms (32% of total)

ival-add: 12.0ms (24% of total)

ival-sub: 8.0ms (16% of total)

ival-log: 6.0ms (12% of total)

ival-div: 5.0ms (10% of total)

ival-pow2: 3.0ms (6% of total)

exact: 1.0ms (2% of total)

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

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

series101.0ms (1.2%)

Memory

9.9MiB live, 248.8MiB allocated

Counts

25 → 564

Calls

Call 1

Inputs
#s(alt (-.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) z) (patch (-.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) z) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) (patch (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1/2 binary64) y) (patch (-.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x ( (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x ( (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) (patch (+.f64 #s(approx (- x ( (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) #<representation binary64>) () ())
#s(alt #s(approx (- x (* (+ y 1/2) (log y))) (.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) (patch #s(approx (- x ( (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y) z) (patch (-.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y) z) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y) (patch (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) (patch (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #<representation binary64>) () ())

Outputs
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) z) (patch (-.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) z) (patch (-.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 1/2 y) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 y) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/2 y) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (patch (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	y	@	inf	((- (+ (+ (* (- -1/2 y) (log y)) x) y) z) (+ (+ (* (- -1/2 y) (log y)) x) y) (+ (* (- -1/2 y) (log y)) x) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (log y) (* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (* z z) (+ y x) (+ (* (/ (- -1/2 y) x) (log y)) 1) (/ (- -1/2 y) x) (pow (* (- -1/2 y) (log y)) 2) (* (- -1/2 y) (log y)))
17.0ms	y	@	-inf	((- (+ (+ (* (- -1/2 y) (log y)) x) y) z) (+ (+ (* (- -1/2 y) (log y)) x) y) (+ (* (- -1/2 y) (log y)) x) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (log y) (* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (* z z) (+ y x) (+ (* (/ (- -1/2 y) x) (log y)) 1) (/ (- -1/2 y) x) (pow (* (- -1/2 y) (log y)) 2) (* (- -1/2 y) (log y)))
11.0ms	y	@	0	((- (+ (+ (* (- -1/2 y) (log y)) x) y) z) (+ (+ (* (- -1/2 y) (log y)) x) y) (+ (* (- -1/2 y) (log y)) x) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (log y) (* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (* z z) (+ y x) (+ (* (/ (- -1/2 y) x) (log y)) 1) (/ (- -1/2 y) x) (pow (* (- -1/2 y) (log y)) 2) (* (- -1/2 y) (log y)))
7.0ms	x	@	0	((- (+ (+ (* (- -1/2 y) (log y)) x) y) z) (+ (+ (* (- -1/2 y) (log y)) x) y) (+ (* (- -1/2 y) (log y)) x) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (log y) (* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (* z z) (+ y x) (+ (* (/ (- -1/2 y) x) (log y)) 1) (/ (- -1/2 y) x) (pow (* (- -1/2 y) (log y)) 2) (* (- -1/2 y) (log y)))
6.0ms	x	@	inf	((- (+ (+ (* (- -1/2 y) (log y)) x) y) z) (+ (+ (* (- -1/2 y) (log y)) x) y) (+ (* (- -1/2 y) (log y)) x) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (log y) (* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (* z z) (+ y x) (+ (* (/ (- -1/2 y) x) (log y)) 1) (/ (- -1/2 y) x) (pow (* (- -1/2 y) (log y)) 2) (* (- -1/2 y) (log y)))

simplify255.0ms (2.9%)

Memory

17.1MiB live, 290.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	675	10193
1	2341	9301
0	8398	8865

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 520

Calls

Call 1

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

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

rewrite178.0ms (2.1%)

Memory

-2.8MiB live, 235.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	291
0	69	243
1	383	230
2	4009	230
0	9694	230

Stop Event

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

Counts

25 → 1 238

Calls

Call 1

Inputs
(-.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) z)
(+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y)
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(-.f64 #s(literal -1/2 binary64) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) (*.f64 z z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(log.f64 y)
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
(+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y)
#s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x))
(-.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y) z)
(+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y)
(-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64)))
(*.f64 z z)
(+.f64 y x)
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) y) x)
(pow.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y))

Outputs
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eval319.0ms (3.7%)

Memory: 1.4MiB live, 461.7MiB allocated
Compiler: Compiled 49 919 to 5 111 computations (89.8% saved)

prune112.0ms (1.3%)

Memory

-5.1MiB live, 159.9MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	1 978	20	1 998
Fresh	5	7	12
Picked	5	0	5
Done	0	2	2
Total	1 988	29	2 017

Accuracy

100.0%

Counts

2 017 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) (-.f64 y z))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
	62.3%	(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x y)) (.f64 x x)) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
	70.7%	(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 #s(approx (- -1/2 y) (neg.f64 y)) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
	46.4%	(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) (*.f64 (neg.f64 y) (/.f64 (log.f64 y) x))) x)) y) z)
▶	47.1%	(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
	90.2%	(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) #s(approx (* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 x y) (neg.f64 (log.f64 y))) y))) y) z)
	62.1%	(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
	85.0%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) x x)) z)
	59.8%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 3 binary64))) y) (fma.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 1 binary64)))) z)
✓	61.3%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
	74.8%	#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
	39.1%	#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
▶	52.0%	#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))))
	45.9%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (exp.f64 (*.f64 (log.f64 (log.f64 y)) #s(literal 1 binary64))) (+.f64 y x)))
	63.4%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 y x)))
	38.7%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)))
	6.6%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
	10.6%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
▶	8.8%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
	10.6%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
	23.9%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
	76.9%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))
▶	76.8%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y))
	74.3%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))) z))
	74.3%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64))) z))
	10.6%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)))
✓	24.0%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
	39.9%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))

Compiler

Compiled 742 to 616 computations (17% saved)

simplify91.0ms (1%)

Memory

24.0MiB live, 141.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))))
cost-diff	128	(-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
cost-diff	0	(log.f64 y)
cost-diff	0	(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
cost-diff	0	(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y)
cost-diff	0	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y))
cost-diff	0	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 z z))
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))
cost-diff	1472	(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))
cost-diff	0	(.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x))
cost-diff	0	(+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y)
cost-diff	0	(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
cost-diff	0	(-.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	359
0	84	356
1	158	318
2	428	318
3	2860	318
4	6199	318
0	8094	310

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
(+.f64 x (-.f64 y z))
x
(-.f64 y z)
z
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
(+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y)
#s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
y
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
#s(literal 0 binary64)
(*.f64 z z)
z
(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y)
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(log.f64 y)
y
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
x
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
(+.f64 y x)
y
x
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))
(fma.f64 y y #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(log.f64 y)
(-.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x))
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
(+.f64 x (-.f64 y z))
(+.f64 (-.f64 y z) x)
x
(-.f64 y z)
z
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
(-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) (-.f64 z y))
(+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y)
#s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
y
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))
(neg.f64 z)
(-.f64 #s(literal 0 binary64) (*.f64 z z))
(*.f64 z (neg.f64 z))
#s(literal 0 binary64)
(*.f64 z z)
z
(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))
z
(*.f64 (neg.f64 z) z)
(*.f64 z (neg.f64 z))
(neg.f64 z)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y)))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y)
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 x y))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(log.f64 y)
y
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
x
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (+.f64 x y)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
y
x
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))
(fma.f64 y y #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(log.f64 y)
(-.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize142.0ms (1.6%)

Memory

-13.0MiB live, 156.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))
accuracy	0.12109375	(-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
accuracy	14.692254595340867	#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))))
accuracy	18.158404783433316	(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
accuracy	0	(log.f64 y)
accuracy	0.11328125	(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y)
accuracy	0.1328125	(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
accuracy	14.692254595340867	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y))
accuracy	0	(neg.f64 z)
accuracy	27.101502395640956	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))
accuracy	27.206971141052833	(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))
accuracy	48.654579515400364	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
accuracy	0	#s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x))
accuracy	0.11328125	(+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y)
accuracy	9.6760517257728	(.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)
accuracy	43.32947551491667	#s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64))
accuracy	0.00390625	(+.f64 x (-.f64 y z))
accuracy	0.109375	(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
accuracy	0.23046875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
accuracy	0.32388532033780393	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))

Samples

104.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 281 to 48 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 39.0ms (50.5% of total)

ival-div: 11.0ms (14.2% of total)

ival-add: 11.0ms (14.2% of total)

ival-sub: 10.0ms (13% of total)

ival-log: 4.0ms (5.2% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

series103.0ms (1.2%)

Memory

8.8MiB live, 166.8MiB allocated

Counts

24 → 576

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1/2 binary64) y) (patch (-.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) (patch (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) #<representation binary64>) () ())
#s(alt #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) (patch #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (patch (.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- (+ (- x ( (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y)) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y) (patch (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y) #<representation binary64>) () ())
#s(alt (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) (patch (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 y x) (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) (patch (-.f64 (+.f64 y x) (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))) (patch #s(approx (- (+ (- x (/ ( (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))) (patch (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())

Outputs
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#s(alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 y x) (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) (patch (-.f64 (+.f64 y x) (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))) (patch #s(approx (- (+ (- x (/ ( (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))) (patch #s(approx (- (+ (- x (/ ( (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	y	@	-inf	((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (* (* (neg z) z) (/ -1 z)) (/ (- 0 (* z z)) (* (* (neg z) z) (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (+ (* (log y) (- -1/2 y)) x) y) (+ (* (log y) (- -1/2 y)) x) (log y) (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (+ x (- y z)) (+ (* (/ (- -1/2 y) x) (log y)) 1) (neg z) (* (+ (* y y) -1/4) (log y)))
12.0ms	y	@	inf	((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (* (* (neg z) z) (/ -1 z)) (/ (- 0 (* z z)) (* (* (neg z) z) (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (+ (* (log y) (- -1/2 y)) x) y) (+ (* (log y) (- -1/2 y)) x) (log y) (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (+ x (- y z)) (+ (* (/ (- -1/2 y) x) (log y)) 1) (neg z) (* (+ (* y y) -1/4) (log y)))
8.0ms	y	@	0	((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (* (* (neg z) z) (/ -1 z)) (/ (- 0 (* z z)) (* (* (neg z) z) (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (+ (* (log y) (- -1/2 y)) x) y) (+ (* (log y) (- -1/2 y)) x) (log y) (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (+ x (- y z)) (+ (* (/ (- -1/2 y) x) (log y)) 1) (neg z) (* (+ (* y y) -1/4) (log y)))
7.0ms	z	@	inf	((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (* (* (neg z) z) (/ -1 z)) (/ (- 0 (* z z)) (* (* (neg z) z) (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (+ (* (log y) (- -1/2 y)) x) y) (+ (* (log y) (- -1/2 y)) x) (log y) (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (+ x (- y z)) (+ (* (/ (- -1/2 y) x) (log y)) 1) (neg z) (* (+ (* y y) -1/4) (log y)))
4.0ms	x	@	0	((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (* (* (neg z) z) (/ -1 z)) (/ (- 0 (* z z)) (* (* (neg z) z) (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (+ (* (log y) (- -1/2 y)) x) y) (+ (* (log y) (- -1/2 y)) x) (log y) (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (+ x (- y z)) (+ (* (/ (- -1/2 y) x) (log y)) 1) (neg z) (* (+ (* y y) -1/4) (log y)))

simplify176.0ms (2%)

Memory

22.6MiB live, 242.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	589	8712
1	1920	8090
2	6454	7923
0	8108	7512

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 530

Calls

Call 1

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

rewrite216.0ms (2.5%)

Memory

0.7MiB live, 352.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	313
0	84	300
1	426	253
2	4259	249
0	9638	244

Stop Event

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

Counts

24 → 1 071

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
(-.f64 #s(literal -1/2 binary64) y)
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
(+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y)
#s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x))
(.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)
(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y))
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y)
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(log.f64 y)
(-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))))
(+.f64 y x)
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
(+.f64 x (-.f64 y z))
#s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64))
(neg.f64 z)
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))

Outputs
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eval269.0ms (3.1%)

Memory: 8.9MiB live, 349.6MiB allocated
Compiler: Compiled 38 007 to 3 962 computations (89.6% saved)

prune87.0ms (1%)

Memory

-20.8MiB live, 161.3MiB allocated

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	1 653	21	1 674
Fresh	9	13	22
Picked	4	1	5
Done	0	2	2
Total	1 666	37	1 703

Accuracy

100.0%

Counts

1 703 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) (-.f64 y z))
	31.0%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z) (+.f64 #s(approx (- x ( (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y))
	39.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))))
	39.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) y)))
	26.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
	23.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
	62.3%	(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x y)) (.f64 x x)) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
	70.7%	(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 #s(approx (- -1/2 y) (neg.f64 y)) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
	46.4%	(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) (*.f64 (neg.f64 y) (/.f64 (log.f64 y) x))) x)) y) z)
	90.2%	(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) #s(approx (* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 x y) (neg.f64 (log.f64 y))) y))) y) z)
	62.1%	(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
	59.8%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 3 binary64))) y) (fma.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 1 binary64)))) z)
✓	61.3%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
	47.1%	(+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))
	74.8%	#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z)))
	39.1%	#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
✓	52.0%	#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))))
	76.9%	#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))
	39.9%	#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) #s(approx (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
	45.9%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (exp.f64 (*.f64 (log.f64 (log.f64 y)) #s(literal 1 binary64))) (+.f64 y x)))
	6.6%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
	4.9%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (.f64 (neg.f64 z) z)))
	4.8%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (/.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
	10.6%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
	8.8%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal -1 binary64) z))))
	8.8%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
	10.6%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
	63.3%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) x) y))
	62.8%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (/.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x) x x)) y))
	39.1%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) y))
	74.3%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))) z))
	10.6%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
	10.6%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
	74.3%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64))) z))
✓	24.0%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
	62.8%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) y) (fma.f64 (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x x)))
	51.9%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) y) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))

Compiler

Compiled 1 318 to 662 computations (49.8% saved)

regimes105.0ms (1.2%)

Memory

22.7MiB live, 133.9MiB allocated

Counts

67 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z) (+.f64 #s(approx (- x ( (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (.f64 (neg.f64 z) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (/.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) #s(approx (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) y) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) x) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))
#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z)))
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
(-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z)
(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z)
(-.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) y) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) y) (fma.f64 (/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) x x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) x) (fma.f64 (/.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x) x x)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) x x)) z)
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) (*.f64 (neg.f64 y) (/.f64 (log.f64 y) x))) x)) y) z)
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 #s(approx (- -1/2 y) (neg.f64 y)) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 y))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))) z))
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x y)) (.f64 x x)) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) z) #s(literal 1 binary64))) z))
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) #s(approx (* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 x y) (neg.f64 (log.f64 y))) y))) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (exp.f64 (*.f64 (log.f64 (log.f64 y)) #s(literal 1 binary64))) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (log.f64 y)))) z)
(-.f64 (+.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) #s(literal 2 binary64))) (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x)) y) z)
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal 3 binary64))) y) (fma.f64 (log.f64 y) (+.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal 1 binary64)))) z)
(fma.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) (-.f64 y z))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 y))) (.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (log.f64 y)) (+.f64 #s(literal 1 binary64) (log.f64 y)))) y)) z)

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

Calls

5 calls:

22.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
22.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
21.0ms	y
18.0ms	z
18.0ms	x

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)

regimes74.0ms (0.9%)

Memory

-7.1MiB live, 110.8MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z) (+.f64 #s(approx (- x ( (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (.f64 (neg.f64 z) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (/.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) #s(approx (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) y) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) x) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))
#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z)))
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
(-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z)

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

Calls

5 calls:

18.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
15.0ms	x
14.0ms	z
12.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
12.0ms	y

Results

Accuracy	Segments	Branch
98.9%	3	`x`
99.3%	2	`y`
99.0%	3	`z`
98.9%	2	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
99.3%	2	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes28.0ms (0.3%)

Memory

11.7MiB live, 49.9MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z) (+.f64 #s(approx (- x ( (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (.f64 (neg.f64 z) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (/.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) #s(approx (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) y) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) x) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))
#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z)))
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)

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

Calls

2 calls:

14.0ms	y
12.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)

Results

Accuracy	Segments	Branch
99.3%	2	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
99.3%	2	`y`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes70.0ms (0.8%)

Memory

-4.3MiB live, 114.0MiB allocated

Counts

40 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z) (+.f64 #s(approx (- x ( (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (.f64 (neg.f64 z) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (/.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) #s(approx (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) y) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) x) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))
#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (-.f64 y z)))

Outputs

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

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

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

Calls

5 calls:

16.0ms	y
14.0ms	z
14.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
12.0ms	x
12.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)

Results

Accuracy	Segments	Branch
92.4%	3	`x`
93.8%	3	`z`
89.1%	2	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
93.9%	3	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
95.1%	3	`y`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes14.0ms (0.2%)

Memory

-13.3MiB live, 24.7MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z) (+.f64 #s(approx (- x ( (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (.f64 (neg.f64 z) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (/.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) #s(approx (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) y) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) x) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y))

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
95.1%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z) (+.f64 #s(approx (- x ( (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (.f64 (neg.f64 z) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (/.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) #s(approx (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) y) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) x) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 y x)))

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
92.7%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes14.0ms (0.2%)

Memory

-25.2MiB live, 17.7MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z) (+.f64 #s(approx (- x ( (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (.f64 (neg.f64 z) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (/.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) #s(approx (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) y) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) x) y))

Outputs

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
92.7%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes53.0ms (0.6%)

Memory

5.9MiB live, 80.3MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z) (+.f64 #s(approx (- x ( (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (.f64 (neg.f64 z) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (/.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) #s(approx (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) y) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 #s(approx (+ (* (log y) (- -1/2 y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) y))

Outputs

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

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

Calls

5 calls:

13.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
11.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
9.0ms	z
9.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
74.7%	2	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
74.2%	3	`x`
71.2%	3	`z`
77.9%	2	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
86.9%	2	`y`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes29.0ms (0.3%)

Memory

13.6MiB live, 51.4MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z) (+.f64 #s(approx (- x ( (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (.f64 (neg.f64 z) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (/.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) #s(approx (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ (- (* x x) (pow (* (- -1/2 y) (log y)) 2)) (+ (* (log y) (+ 1/2 y)) x)) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (+ (* (log y) (- -1/2 y)) x) y) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)))

Outputs

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

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

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

Calls

3 calls:

11.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
8.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
8.0ms	y

Results

Accuracy	Segments	Branch
72.9%	2	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
69.4%	4	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
75.7%	3	`y`

Compiler

Compiled 23 to 22 computations (4.3% saved)

regimes65.0ms (0.7%)

Memory

-31.7MiB live, 57.5MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z) (+.f64 #s(approx (- x ( (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (.f64 (neg.f64 z) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (/.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) #s(approx (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))

Outputs

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

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

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

Calls

5 calls:

33.0ms	y
11.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
7.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
6.0ms	z
6.0ms	x

Results

Accuracy	Segments	Branch
52.8%	3	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
61.0%	3	`z`
47.1%	1	`x`
60.1%	3	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
49.8%	2	`y`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes35.0ms (0.4%)

Memory

30.7MiB live, 62.7MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))
(-.f64 (+.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z) (+.f64 #s(approx (- x ( (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (.f64 (neg.f64 z) z) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (.f64 (neg.f64 z) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (/.f64 (.f64 z z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (neg.f64 z) z))))

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

Calls

5 calls:

10.0ms	y
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
6.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
6.0ms	z
6.0ms	x

Results

Accuracy	Segments	Branch
47.1%	1	`x`
47.1%	1	`y`
47.1%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
47.1%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
47.1%	1	`z`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes7.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
24.0%	1	`z`
24.0%	1	`y`
24.0%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
24.0%	1	`x`
24.0%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`

Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch22.0ms (0.3%)

Memory

-11.0MiB live, 23.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.014974003503188933	28918.800852892222

Samples

9.0ms

144×

valid

Compiler

Compiled 186 to 187 computations (-0.5% saved)

Precisions

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

ival-log: 2.0ms (37.2% of total)

ival-sub: 1.0ms (18.6% of total)

ival-add: 1.0ms (18.6% of total)

ival-mult: 1.0ms (18.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.014974003503188933	28918.800852892222

Compiler

Compiled 186 to 187 computations (-0.5% saved)

bsearch32.0ms (0.4%)

Memory

-10.5MiB live, 39.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.5853644739894622e+132	8.432837974962357e+133
18.0ms	2.928989259056586e+28	7.384587771943592e+28

Samples

21.0ms

192×

valid

Compiler

Compiled 238 to 251 computations (-5.5% saved)

Precisions

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

ival-sub: 2.0ms (26.7% of total)

ival-log: 2.0ms (26.7% of total)

ival-add: 2.0ms (26.7% of total)

ival-mult: 1.0ms (13.4% 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%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.5853644739894622e+132	8.432837974962357e+133
1.0ms	2.928989259056586e+28	7.384587771943592e+28

Compiler

Compiled 238 to 251 computations (-5.5% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.928989259056586e+28	7.384587771943592e+28

Compiler

Compiled 105 to 111 computations (-5.7% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.928989259056586e+28	7.384587771943592e+28

Compiler

Compiled 105 to 111 computations (-5.7% saved)

bsearch18.0ms (0.2%)

Memory

-13.7MiB live, 23.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	7.384587771943592e+28	2.1072587387737474e+30

Samples

12.0ms

112×

valid

Compiler

Compiled 120 to 142 computations (-18.3% saved)

Precisions

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

ival-sub: 6.0ms (67.3% of total)

ival-log: 1.0ms (11.2% of total)

ival-add: 1.0ms (11.2% of total)

ival-mult: 1.0ms (11.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

-8.8MiB live, 28.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	7.384587771943592e+28	2.1072587387737474e+30
13.0ms	4.8911168511574254e-107	1.3330083926793885e-102

Samples

8.0ms

128×

valid

Compiler

Compiled 255 to 301 computations (-18% saved)

Precisions

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

ival-log: 2.0ms (40.6% of total)

ival-sub: 1.0ms (20.3% of total)

ival-add: 1.0ms (20.3% of total)

ival-mult: 1.0ms (20.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch50.0ms (0.6%)

Memory

11.1MiB live, 48.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	534967285504.9575	9.268247329421846e+19
18.0ms	-5.767718205538625e+52	-4.815030045635547e+22

Samples

20.0ms

320×

valid

Compiler

Compiled 335 to 396 computations (-18.2% saved)

Precisions

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

ival-log: 4.0ms (32.2% of total)

ival-sub: 3.0ms (24.2% of total)

ival-add: 3.0ms (24.2% of total)

ival-mult: 2.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify61.0ms (0.7%)

Memory

16.8MiB live, 61.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	577
1	118	577
2	141	577
3	160	577
4	199	577
5	227	577
6	294	577
7	433	577
8	545	577
9	551	577
10	552	577

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z)
(if (<=.f64 y #s(literal 1261007895663739/4503599627370496 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z))
(if (<=.f64 y #s(literal 1261007895663739/4503599627370496 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z))
(if (<=.f64 y #s(literal 37999999999999998855659651072 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (if (<=.f64 y #s(literal 5100000000000000063556411101947052269183017415312791705342140312543363343749779676513339923523551720844917004874496706156004630331392 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)))
(if (<=.f64 y #s(literal 37999999999999998855659651072 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (if (<=.f64 y #s(literal 5100000000000000063556411101947052269183017415312791705342140312543363343749779676513339923523551720844917004874496706156004630331392 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 y x))) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)))
(if (<=.f64 y #s(literal 37999999999999998855659651072 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 y x))))
(if (<=.f64 y #s(literal 37999999999999998855659651072 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) x) y)))
(if (<=.f64 y #s(literal 1700000000000000118246355238912 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))
(if (<=.f64 y #s(literal 5245195064864033/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) (if (<=.f64 y #s(literal 1700000000000000118246355238912 binary64)) (+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))))
(if (<=.f64 z #s(literal -429999999999999987417088 binary64)) (+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z)) (if (<=.f64 z #s(literal 540000000000 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) (+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))))
(+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))

Outputs
(-.f64 (+.f64 x (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z)
(-.f64 (+.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x) z)
(if (<=.f64 y #s(literal 1261007895663739/4503599627370496 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 (-.f64 x (-.f64 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) y)) z))
(if (<=.f64 y #s(literal 1261007895663739/4503599627370496 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z))
(if (<=.f64 y #s(literal 37999999999999998855659651072 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (if (<=.f64 y #s(literal 5100000000000000063556411101947052269183017415312791705342140312543363343749779676513339923523551720844917004874496706156004630331392 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)))
(if (<=.f64 y #s(literal 37999999999999998855659651072 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (if (<=.f64 y #s(literal 5100000000000000063556411101947052269183017415312791705342140312543363343749779676513339923523551720844917004874496706156004630331392 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 y x))) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)))
(if (<=.f64 y #s(literal 37999999999999998855659651072 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 y x))))
(if (<=.f64 y #s(literal 37999999999999998855659651072 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+.f64 (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) x) y)))
(if (<=.f64 y #s(literal 1700000000000000118246355238912 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))
(if (<=.f64 y #s(literal 5245195064864033/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) (if (<=.f64 y #s(literal 1700000000000000118246355238912 binary64)) (+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))))
(if (<=.f64 y #s(literal 5245195064864033/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) (if (<=.f64 y #s(literal 1700000000000000118246355238912 binary64)) (+.f64 (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z) y) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))))
(if (<=.f64 z #s(literal -429999999999999987417088 binary64)) (+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z)) (if (<=.f64 z #s(literal 540000000000 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) (+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))))
(if (<=.f64 z #s(literal -429999999999999987417088 binary64)) (+.f64 (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z) y) (if (<=.f64 z #s(literal 540000000000 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) (+.f64 (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z) y)))
(+.f64 y (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z))
(+.f64 (-.f64 #s(approx (- x (* (+ y 1/2) (log y))) (.f64 #s(approx (+ ( (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) z) y)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))

soundness1.8s (20.2%)

Memory

-85.4MiB live, 1 160.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
0	16	38
1	79	38
2	699	38
0	8843	35
0	57	313
0	84	300
1	426	253
2	4259	249
0	9638	244
0	36	218
0	58	206
1	309	193
2	3089	193
0	8892	192
0	288	6082
1	945	5563
2	2888	5294
0	8141	4935
0	589	8712
1	1920	8090
2	6454	7923
0	8108	7512
0	42	291
0	69	243
1	383	230
2	4009	230
0	9694	230
0	127	1382
1	415	1240
2	1319	1149
3	4704	1118
0	8534	1035
0	675	10193
1	2341	9301
0	8398	8865

Stop Event

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

Compiler

Compiled 637 to 397 computations (37.7% saved)

preprocess83.0ms (1%)

Memory: -25.3MiB live, 169.3MiB allocated
Compiler: Compiled 580 to 186 computations (67.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	87	577
1	118	577
2	141	577
3	160	577
4	199	577
5	227	577
6	294	577
7	433	577
8	545	577
9	551	577
10	552	577

Iter	Nodes	Cost
0	87	577
1	118	577
2	141	577
3	160	577
4	199	577
5	227	577
6	294	577
7	433	577
8	545	577
9	551	577
10	552	577

start0.0ms (0%)

analyze1.0ms (0%)

sample1.1s (13.1%)

explain191.0ms (2.2%)

preprocess179.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify148.0ms (1.7%)

localize25.0ms (0.3%)

series110.0ms (1.3%)

simplify152.0ms (1.8%)

rewrite176.0ms (2%)

eval106.0ms (1.2%)

prune38.0ms (0.4%)

simplify209.0ms (2.4%)

localize339.0ms (3.9%)

series119.0ms (1.4%)

simplify412.0ms (4.8%)

rewrite161.0ms (1.9%)

eval249.0ms (2.9%)

prune44.0ms (0.5%)

simplify158.0ms (1.8%)

localize103.0ms (1.2%)

series101.0ms (1.2%)

simplify255.0ms (2.9%)

rewrite178.0ms (2.1%)

eval319.0ms (3.7%)

prune112.0ms (1.3%)

simplify91.0ms (1%)

localize142.0ms (1.6%)

series103.0ms (1.2%)

simplify176.0ms (2%)

rewrite216.0ms (2.5%)

eval269.0ms (3.1%)

prune87.0ms (1%)

regimes105.0ms (1.2%)

regimes74.0ms (0.9%)

regimes28.0ms (0.3%)

regimes70.0ms (0.8%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes14.0ms (0.2%)

regimes53.0ms (0.6%)

regimes29.0ms (0.3%)

regimes65.0ms (0.7%)

regimes35.0ms (0.4%)

regimes7.0ms (0.1%)

bsearch22.0ms (0.3%)

bsearch1.0ms (0%)

bsearch32.0ms (0.4%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch18.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch50.0ms (0.6%)

simplify61.0ms (0.7%)

soundness1.8s (20.2%)

preprocess83.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	87	577
1	118	577
2	141	577
3	160	577
4	199	577
5	227	577
6	294	577
7	433	577
8	545	577
9	551	577
10	552	577