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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze1.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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)

sample1.9s (20%)

Memory

-9.0MiB live, 1 161.9MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-sub: 419.0ms (36.6% of total)

ival-add: 378.0ms (33.1% of total)

ival-log: 274.0ms (24% of total)

ival-mult: 56.0ms (4.9% of total)

ival-true: 7.0ms (0.6% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain416.0ms (4.3%)

Memory

-35.0MiB live, 201.9MiB 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

53.0ms

512×

valid

Compiler

Compiled 151 to 44 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-add: 17.0ms (47.8% of total)

ival-log: 9.0ms (25.3% of total)

ival-sub: 5.0ms (14.1% of total)

ival-mult: 3.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess181.0ms (1.9%)

Memory

33.8MiB live, 147.6MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify128.0ms (1.3%)

Memory

-3.1MiB live, 82.2MiB 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

localize80.0ms (0.8%)

Memory

-18.7MiB live, 56.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
accuracy	0.0078125	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
accuracy	0.07421875	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
accuracy	0.1328125	(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))

Samples

73.0ms

256×

valid

Compiler

Compiled 92 to 22 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 11.0ms (54.3% of total)

ival-log: 4.0ms (19.8% of total)

ival-sub: 2.0ms (9.9% of total)

ival-mult: 2.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

series117.0ms (1.2%)

Memory

-11.5MiB live, 40.1MiB allocated

Counts

4 → 96

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>) () ())

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 (* 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* y (- 1 (* -1 (log (/ 1 y))))) (taylor inf 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 (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf 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 (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf 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 (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf 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 (* y (log (/ 1 y)))) (taylor inf 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 (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) (taylor inf 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 (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) (taylor inf 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 (* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))) (taylor inf 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 (* y (+ (log -1) (* -1 (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 (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (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 (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (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 (* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (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 (+ 1 (* -1 (+ (log -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 (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -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 (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -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 (* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -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 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))) (taylor -inf 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 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) (taylor -inf 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 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) (taylor -inf 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 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))) (taylor -inf 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 (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf 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 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) (taylor -inf 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 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) (taylor -inf 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 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y))))) (taylor -inf 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 (* (log y) (+ 1/2 y))) (taylor 0 x) (#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 (* (log y) (+ 1/2 y))) (taylor 0 x) (#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 (* (log y) (+ 1/2 y))) (taylor 0 x) (#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 (* (log y) (+ 1/2 y))) (taylor 0 x) (#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 (+ z (* (log y) (+ 1/2 y)))) (taylor 0 x) (#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) (+ z (* (log y) (+ 1/2 y)))) (taylor 0 x) (#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) (+ z (* (log y) (+ 1/2 y)))) (taylor 0 x) (#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) (+ z (* (log y) (+ 1/2 y)))) (taylor 0 x) (#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 (* (log y) (+ 1/2 y))) (taylor 0 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>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 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>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 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>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 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>) () ())) ())
#s(alt x (taylor inf x) (#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 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#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 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#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 (* -1 (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#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 (taylor inf x) (#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 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#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 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#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 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x)))) (taylor inf x) (#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 (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>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) (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>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) (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>) () ())) ())
#s(alt (* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x))) (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>) () ())) ())
#s(alt x (taylor -inf x) (#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 (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#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 (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#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 (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#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 (taylor -inf x) (#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 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#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 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#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 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#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 (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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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
85.0ms	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)))
13.0ms	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)))
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)))
4.0ms	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)))
2.0ms	x	@	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)))

simplify273.0ms (2.8%)

Memory

-0.8MiB live, 313.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	1334
1	415	1196
2	1319	1105
3	4704	1074
0	8534	991

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 90

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

rewrite196.0ms (2%)

Memory

40.5MiB live, 267.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
0	16	36
1	79	36
2	699	36
0	8843	33

Stop Event

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

Counts

4 → 354

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))

Outputs
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eval116.0ms (1.2%)

Memory: -29.1MiB live, 177.5MiB allocated
Compiler: Compiled 13 403 to 1 423 computations (89.4% saved)

prune20.0ms (0.2%)

Memory

10.2MiB live, 56.3MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	431	13	444
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	432	13	445

Accuracy

100.0%

Counts

445 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.3%	(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z)))
	46.3%	(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) (-.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) x)))) (-.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)))))
	56.0%	(-.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y))) z)
▶	99.9%	(-.f64 (-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) y)) (.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
	99.7%	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z)
▶	99.8%	(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
	72.8%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
▶	55.8%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
	71.7%	#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)))
	69.3%	#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)))
	28.6%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
▶	29.4%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))

Compiler

Compiled 372 to 292 computations (21.5% saved)

simplify393.0ms (4.1%)

Memory

-14.4MiB live, 220.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
cost-diff	0	(fma.f64 y y #s(literal -1/4 binary64))
cost-diff	0	(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z)))
cost-diff	6208	(*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y)))
cost-diff	0	(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y)
cost-diff	0	(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
cost-diff	128	(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))))
cost-diff	1088	(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))
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 y x)
cost-diff	0	(-.f64 (-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) y)) (.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
cost-diff	128	(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
cost-diff	6720	(-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) y)) (.f64 (log.f64 y) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	240
0	67	242
1	134	226
2	338	222
3	1007	222
4	2845	220
5	4898	220
6	6276	220
7	6811	220
8	6935	220
9	6939	220
10	6939	220
11	6990	220
12	7002	220
13	7002	220
14	7117	220
15	7289	220
16	7297	220
17	7297	220
18	7297	220
0	7297	211

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize98.0ms (1%)

Memory

3.2MiB live, 160.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (log.f64 y))
accuracy	0	(log.f64 y)
accuracy	0.1640625	(*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y)))
accuracy	15.190453402875221	(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z)))
accuracy	0.00390625	(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))))
accuracy	0.0078125	(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
accuracy	0.07421875	(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y)
accuracy	0.1640625	(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (log.f64 y))
accuracy	0.0078125	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
accuracy	0.28515625	(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
accuracy	40.15264533378234	#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	45.19330814188276	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
accuracy	0.00390625	(-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) y)) (.f64 (log.f64 y) #s(literal 1/2 binary64)))
accuracy	0.0078125	(-.f64 (-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) y)) (.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
accuracy	0.1171875	(-.f64 (+.f64 y x) (*.f64 (log.f64 y) y))
accuracy	0.2421875	(*.f64 (log.f64 y) y)

Samples

68.0ms

256×

valid

Compiler

Compiled 436 to 74 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 12.0ms (24.7% of total)

ival-sub: 11.0ms (22.6% of total)

ival-add: 10.0ms (20.5% of total)

ival-log: 5.0ms (10.3% of total)

ival-pow: 5.0ms (10.3% of total)

ival-div: 3.0ms (6.2% of total)

ival-neg: 2.0ms (4.1% of total)

exact: 1.0ms (2.1% of total)

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

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

series123.0ms (1.3%)

Memory

-3.4MiB live, 168.7MiB allocated

Counts

21 → 444

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
64.0ms	y	@	0	((- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (- (+ y x) (* (log y) y)) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ y x) (- (+ (- 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)) (/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (pow (- y 1/2) -1) (neg (log y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (pow (- y 1/2) -1) (* (log y) y) (log y) (neg (log y)))
18.0ms	y	@	-inf	((- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (- (+ y x) (* (log y) y)) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ y x) (- (+ (- 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)) (/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (pow (- y 1/2) -1) (neg (log y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (pow (- y 1/2) -1) (* (log y) y) (log y) (neg (log y)))
10.0ms	y	@	inf	((- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (- (+ y x) (* (log y) y)) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ y x) (- (+ (- 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)) (/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (pow (- y 1/2) -1) (neg (log y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (pow (- y 1/2) -1) (* (log y) y) (log y) (neg (log y)))
3.0ms	z	@	0	((- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (- (+ y x) (* (log y) y)) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ y x) (- (+ (- 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)) (/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (pow (- y 1/2) -1) (neg (log y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (pow (- y 1/2) -1) (* (log y) y) (log y) (neg (log y)))
2.0ms	x	@	0	((- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (- (+ y x) (* (log y) y)) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ y x) (- (+ (- 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)) (/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (pow (- y 1/2) -1) (neg (log y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (pow (- y 1/2) -1) (* (log y) y) (log y) (neg (log y)))

simplify250.0ms (2.6%)

Memory

22.6MiB live, 169.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	362	5745
1	1129	5288
2	3358	4978
0	8384	4695

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 417

Calls

Call 1

Inputs
(- (+ x y) (+ (* 1/2 (log y)) (* y (log y))))
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y))))
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y))))
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log 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)))
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(- (+ 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)))
(- (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) z)
(- (+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))) z)
(- (+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))) z)
(- (+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))) z)
x
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))))
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))))
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (/ (* y (log y)) x))))
x
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))
(* x (- (+ 1 (/ y x)) (/ (* y (log y)) x)))
x
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x)))))
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x)))))
(* x (- (+ 1 (/ y x)) (+ (* 1/2 (/ (log y) x)) (+ (/ z x) (/ (* y (log y)) x)))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ 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))))
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x
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x
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x
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x
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(* x (- (+ 1 (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2)))) (/ y x))) (/ z x)))
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(* -1 (* x (- (* -1 (/ (- y (+ (* 1/2 (log y)) (* y (log y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ (* 1/2 (log y)) (* y (log y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ (* 1/2 (log y)) (* y (log y)))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (* y (log y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ 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 (+ 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)))
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(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
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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)))
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)))
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(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) z) x)) 1)))

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

rewrite254.0ms (2.6%)

Memory

15.6MiB live, 137.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	192
0	67	190
1	356	169
2	3557	169
0	8337	165

Stop Event

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

Counts

21 → 856

Calls

Call 1

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

Outputs
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#<batchref>

eval372.0ms (3.8%)

Memory: -20.6MiB live, 329.8MiB allocated
Compiler: Compiled 32 692 to 2 573 computations (92.1% saved)

prune38.0ms (0.4%)

Memory

26.4MiB live, 111.6MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1 352	9	1 361
Fresh	5	3	8
Picked	2	3	5
Done	0	0	0
Total	1 359	15	1 374

Accuracy

100.0%

Counts

1 374 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.9%	(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 y)))) (+.f64 x (-.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)))))
▶	99.7%	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z)
✓	99.8%	(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
	88.4%	(-.f64 (+.f64 #s(approx (- x (/ (log y) (/ 1 (+ 1/2 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z)
▶	72.8%	(-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
	55.8%	(-.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)
✓	55.8%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
▶	84.5%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)))
▶	69.3%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
	28.6%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
	71.7%	#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)))
▶	11.0%	#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)))
✓	29.4%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
	51.6%	#s(approx (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- 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)))))

Compiler

Compiled 366 to 300 computations (18% saved)

simplify124.0ms (1.3%)

Memory

-1.5MiB live, 190.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	295
0	76	269
1	161	252
2	385	238
3	964	236
4	2617	236
5	5869	236
0	8255	236

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.1%)

Memory

11.5MiB live, 209.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)))
accuracy	0.125	(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x))
accuracy	0.38485616684531043	(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z)
accuracy	9.92179225695501	(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
accuracy	0	(log.f64 y)
accuracy	0.07421875	(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
accuracy	0.109375	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)
accuracy	19.566913623151883	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
accuracy	0	(log.f64 y)
accuracy	0.0078125	(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)
accuracy	0.0078125	(-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
accuracy	22.400046065181634	#s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))
accuracy	0	(+.f64 #s(literal 0 binary64) z)
accuracy	0	(*.f64 z z)
accuracy	31.906663451372598	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
accuracy	45.19330814188276	#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	0.07421875	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y)
accuracy	0.1015625	(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
accuracy	0.265625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)))
accuracy	0.39231513556390696	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))

Samples

79.0ms

256×

valid

Compiler

Compiled 491 to 81 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 17.0ms (30.5% of total)

ival-add: 14.0ms (25.1% of total)

ival-sub: 11.0ms (19.7% of total)

ival-div: 7.0ms (12.5% of total)

ival-log: 5.0ms (9% of total)

exact: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

series138.0ms (1.4%)

Memory

-15.2MiB live, 265.6MiB allocated

Counts

23 → 552

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

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

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	z	@	0	((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (+ (* -1/2 (log y)) x) (log y) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (+ (* (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) z) (neg z)) (+ (* -1 y) -1/2) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) x) (* z z) (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)))
13.0ms	z	@	inf	((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (+ (* -1/2 (log y)) x) (log y) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (+ (* (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) z) (neg z)) (+ (* -1 y) -1/2) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) x) (* z z) (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)))
12.0ms	z	@	-inf	((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (+ (* -1/2 (log y)) x) (log y) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (+ (* (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) z) (neg z)) (+ (* -1 y) -1/2) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) x) (* z z) (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)))
11.0ms	y	@	inf	((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (+ (* -1/2 (log y)) x) (log y) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (+ (* (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) z) (neg z)) (+ (* -1 y) -1/2) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) x) (* z z) (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)))
10.0ms	y	@	-inf	((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (+ (* -1/2 (log y)) x) (log y) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (+ (* (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) z) (neg z)) (+ (* -1 y) -1/2) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) x) (* z z) (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)))

simplify163.0ms (1.7%)

Memory

1.6MiB live, 280.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	504	7590
1	1613	6936
2	5187	6766
0	8240	6313

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 512

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))))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
z
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(- (+ 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) (+ (* 1/2 (log y)) (* y (log y))))
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y))))
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y))))
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y))))
(- (+ x y) (+ (* 1/2 (log y)) (* y (log y))))
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y))))
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y))))
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y))))
(- y (* (log y) (+ 1/2 y)))
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))
(* (log y) (+ 1/2 y))
(+ z (* (log y) (+ 1/2 y)))
(+ z (* (log y) (+ 1/2 y)))
(+ z (* (log y) (+ 1/2 y)))
(+ x (+ y (* (log y) (- (* -1 y) 1/2))))
(+ x (+ y (+ (* -1 z) (* (log y) (- (* -1 y) 1/2)))))
(+ x (+ y (+ (* -1 z) (* (log y) (- (* -1 y) 1/2)))))
(+ x (+ y (+ (* -1 z) (* (log y) (- (* -1 y) 1/2)))))
(- (+ x y) (+ (* 1/2 (log y)) (* y (log y))))
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y))))
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y))))
(- (+ x (+ y (* -1 z))) (+ (* 1/2 (log y)) (* y (log y))))
(/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)
(/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)
(/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)
(/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 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)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
z
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -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 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z)))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z)))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z)))))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z)))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z)))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z)))))
(* -1 z)
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
z
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(* -1 z)
(* z (- (+ (/ x z) (+ (/ y z) (/ (* (log y) (- (* -1 y) 1/2)) z))) 1))
(* z (- (+ (/ x z) (+ (/ y z) (/ (* (log y) (- (* -1 y) 1/2)) z))) 1))
(* z (- (+ (/ x z) (+ (/ y z) (/ (* (log y) (- (* -1 y) 1/2)) z))) 1))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z)))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z)))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (+ (* 1/2 (/ (log y) z)) (/ (* y (log y)) z)))))
(/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)
(/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)
(/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)
(/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 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 z)
(* -1 z)
z
z
z
z
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -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) (+ (* 1/2 (log y)) (* y (log y)))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))
z
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (+ (* 1/2 (log y)) (* y (log y)))) z)))))
(/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)
(/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)
(/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)
(/ (+ x (+ y (* (log y) (- (* -1 y) 1/2)))) z)
(pow z 2)
(pow z 2)
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(pow z 2)
(+ 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 (* -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 (+ x (* -1/2 (log y))))
(+ (/ 1 (+ x (* -1/2 (log y)))) (/ (* y (log y)) (pow (+ x (* -1/2 (log y))) 2)))
(+ (* y (- (/ (* y (pow (log y) 2)) (pow (+ x (* -1/2 (log y))) 3)) (* -1 (/ (log y) (pow (+ x (* -1/2 (log y))) 2))))) (/ 1 (+ x (* -1/2 (log y)))))
(+ (* y (- (* y (- (/ (* y (pow (log y) 3)) (pow (+ x (* -1/2 (log y))) 4)) (* -1 (/ (pow (log y) 2) (pow (+ x (* -1/2 (log y))) 3))))) (* -1 (/ (log y) (pow (+ x (* -1/2 (log y))) 2))))) (/ 1 (+ x (* -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 (+ 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 (* -1/2 (log y)))
(+ x (* -1/2 (log y)))
(+ x (* -1/2 (log y)))
(log y)
(log y)
(log y)
(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))))
(* -1 (+ z (* 1/2 (log y))))
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y))))
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y))))
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y))))
(+ z (* 1/2 (log y)))
(+ z (+ (* 1/2 (log y)) (* y (log y))))
(+ z (+ (* 1/2 (log y)) (* y (log y))))
(+ z (+ (* 1/2 (log y)) (* y (log y))))
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 y)
(- (+ 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)
-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 (* -1/2 (log y))) z)
(+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z)))
(+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x z)))
(+ (* -1/2 (/ (log y) z)) (+ (* y (+ (* -1 (/ (log y) z)) (/ 1 z))) (/ x 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 (* -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))))))
(* y (log (/ 1 y)))
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))
(* y (+ (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)) (/ 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)))))
(/ 1 (* y (log (/ 1 y))))
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(/ 1 x)
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(* -1 (* x (- (* -1 (/ (- y (+ z (+ (* 1/2 (log y)) (* y (log y))))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (- y (+ (* 1/2 (log y)) (* y (log y)))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (- y (+ (* 1/2 (log y)) (* y (log y)))) x)) 1)))
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x
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1)))
(*.f64 (fma.f64 (/.f64 (log.f64 y) x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
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rewrite189.0ms (2%)

Memory

10.0MiB live, 208.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	262
0	76	230
1	432	209
2	4363	204
0	8563	202

Stop Event

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

Counts

23 → 981

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

Outputs
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eval216.0ms (2.2%)

Memory: 4.8MiB live, 339.9MiB allocated
Compiler: Compiled 31 408 to 3 754 computations (88% saved)

prune59.0ms (0.6%)

Memory

-0.8MiB live, 123.9MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	1 515	17	1 532
Fresh	3	4	7
Picked	3	2	5
Done	0	3	3
Total	1 521	26	1 547

Accuracy

100.0%

Counts

1 547 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.9%	(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 y)))) (+.f64 x (-.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)))))
	55.9%	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z)
	58.7%	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
✓	99.8%	(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
	88.4%	(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z)
✓	72.8%	(-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
	43.0%	(-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
✓	55.8%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
	61.5%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (/.f64 #s(approx (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) z (neg.f64 z)))
	65.5%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (/.f64 #s(approx (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) z (neg.f64 z)))
▶	71.7%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
	55.4%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) (pow.f64 z #s(literal -1 binary64)) z))
	52.2%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
	48.0%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) z) y)) z (neg.f64 z)))
✓	69.3%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
	61.4%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z))))
	41.8%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
	28.7%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))
▶	28.6%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
	41.7%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
	11.0%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z))
	2.4%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z z) z))
✓	29.4%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
▶	2.4%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) z)
▶	51.6%	#s(approx (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- 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)))))

Compiler

Compiled 538 to 471 computations (12.5% saved)

simplify166.0ms (1.7%)

Memory

-0.3MiB live, 133.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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 (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- 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	(-.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 (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
cost-diff	0	(log.f64 y)
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 (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
cost-diff	0	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) 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	50	238
0	70	234
1	142	225
2	377	222
3	1172	222
4	3148	222
5	5511	222
6	7558	222
0	8007	219

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

localize123.0ms (1.3%)

Memory

-7.8MiB live, 230.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.078125	(-.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	0.08203125	(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))
accuracy	15.423835763175942	(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
accuracy	17.983505869582594	#s(approx (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- 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	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	17.983505869582594	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
accuracy	0	(log.f64 y)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (log.f64 y))
accuracy	0.28515625	(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
accuracy	45.58147593849027	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
accuracy	62.44905154866045	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) z)
accuracy	0	(log.f64 y)
accuracy	0.1015625	(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
accuracy	0.22265625	(/.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	0.2829481505979543	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))

Samples

97.0ms

256×

valid

Compiler

Compiled 390 to 70 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 35.0ms (45.1% of total)

ival-sub: 17.0ms (21.9% of total)

ival-add: 9.0ms (11.6% of total)

ival-div: 5.0ms (6.4% of total)

ival-log: 5.0ms (6.4% of total)

ival-pow: 5.0ms (6.4% of total)

exact: 1.0ms (1.3% of total)

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

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

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

series165.0ms (1.7%)

Memory

-21.0MiB live, 139.5MiB allocated

Counts

16 → 396

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

Calls

9 calls:

Time	Variable		Point	Expression
35.0ms	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) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (* (+ (* y y) -1/4) (log y)))
10.0ms	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) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (* (+ (* y y) -1/4) (log y)))
10.0ms	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) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (* (+ (* y y) -1/4) (log y)))
4.0ms	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) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (* (+ (* y y) -1/4) (log y)))
3.0ms	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) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (- (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ y x) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (* (+ (* y y) -1/4) (log y)))

simplify238.0ms (2.5%)

Memory

5.1MiB live, 121.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	523	6950
1	1706	6445
2	5635	6272
0	8226	5909

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 374

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

rewrite238.0ms (2.5%)

Memory

2.0MiB live, 289.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	196
0	70	175
1	360	157
2	3495	157
0	8331	157

Stop Event

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

Counts

16 → 793

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

Outputs
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eval173.0ms (1.8%)

Memory: 16.1MiB live, 319.3MiB allocated
Compiler: Compiled 31 519 to 2 794 computations (91.1% saved)

prune85.0ms (0.9%)

Memory

0.5MiB live, 116.4MiB allocated

Pruning

29 alts after pruning (21 fresh and 8 done)

	Pruned	Kept	Total
New	1 291	7	1 298
Fresh	2	14	16
Picked	2	3	5
Done	0	5	5
Total	1 295	29	1 324

Accuracy

100.0%

Counts

1 324 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (-.f64 y (*.f64 (log.f64 y) y)))))
	31.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
	29.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
	55.9%	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z)
	58.7%	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
✓	99.8%	(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
	88.4%	(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z)
✓	72.8%	(-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
	43.0%	(-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
✓	55.8%	(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
	28.7%	#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (-.f64 y (*.f64 (log.f64 y) y)))
	61.5%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (/.f64 #s(approx (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) z (neg.f64 z)))
	65.5%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (/.f64 #s(approx (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) z (neg.f64 z)))
	55.4%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) (pow.f64 z #s(literal -1 binary64)) z))
	52.2%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
	48.0%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) z) y)) z (neg.f64 z)))
	58.7%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 y x)))
✓	69.3%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
	61.4%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z))))
	41.8%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
✓	28.6%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
	41.7%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
	45.1%	#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
	11.0%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z))
	2.4%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z z) z))
✓	29.4%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
✓	2.4%	#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) z)
✓	51.6%	#s(approx (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- 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)))))
	47.8%	#s(approx (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (-.f64 (+.f64 y x) (.f64 (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 y y (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/4 binary64))))))

Compiler

Compiled 891 to 486 computations (45.5% saved)

regimes95.0ms (1%)

Memory

-1.1MiB live, 125.4MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 z z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z))
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 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)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) 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 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (-.f64 y (*.f64 (log.f64 y) y)))
(-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
(-.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 (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) 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 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 (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (/.f64 #s(approx (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) z (neg.f64 z)))
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) z) y)) z (neg.f64 z)))
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z))))
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (/.f64 #s(approx (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) z (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (-.f64 y (*.f64 (log.f64 y) y)))))
#s(approx (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)))
(-.f64 (+.f64 #s(approx (- x (/ (log y) (/ 1 (+ 1/2 y)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z)
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z)
(/.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 (-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) y)) (.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 (*.f64 z (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) (pow.f64 z #s(literal -1 binary64)) z))
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z)))
#s(approx (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (-.f64 (+.f64 y x) (.f64 (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 y y (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/4 binary64))))))
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 y)))) (+.f64 x (-.f64 y z)))
(-.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 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 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) (-.f64 (.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y)) x)))) (-.f64 y z))

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

Calls

5 calls:

35.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
16.0ms	z
15.0ms	x
13.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
13.0ms	y

Results

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

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes96.0ms (1%)

Memory

-17.1MiB live, 68.0MiB allocated

Counts

39 → 1

Calls

Call 1

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

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

Calls

5 calls:

29.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
11.0ms	x
11.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
11.0ms	z
11.0ms	y

Results

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

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes44.0ms (0.5%)

Memory

31.1MiB live, 67.2MiB allocated

Counts

25 → 3

Calls

Call 1

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

Calls

5 calls:

12.0ms	z
8.0ms	(+.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	x
7.0ms	y

Results

Accuracy	Segments	Branch
92.5%	3	`x`
92.8%	3	`y`
91.1%	3	`z`
86.1%	2	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
91.8%	3	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes11.0ms (0.1%)

Memory

-21.2MiB live, 14.7MiB allocated

Counts

22 → 3

Calls

Call 1

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
92.7%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

21 → 3

Calls

Call 1

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

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 (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) 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:

7.0ms

Results

Accuracy	Segments	Branch
92.7%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes17.0ms (0.2%)

Memory

-7.6MiB live, 29.6MiB allocated

Counts

20 → 2

Calls

Call 1

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

Calls

2 calls:

9.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
77.3%	3	`x`
90.7%	2	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes29.0ms (0.3%)

Memory

-2.6MiB live, 44.7MiB allocated

Counts

19 → 2

Calls

Call 1

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

Calls

4 calls:

9.0ms	z
6.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
6.0ms	y
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)

Results

Accuracy	Segments	Branch
72.8%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
72.8%	1	`z`
76.0%	2	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
86.0%	2	`y`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes30.0ms (0.3%)

Memory

17.5MiB live, 54.7MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

8.0ms	x
5.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
5.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
5.0ms	y
5.0ms	z

Results

Accuracy	Segments	Branch
77.3%	5	`z`
77.1%	5	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
75.2%	3	`x`
77.3%	5	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
72.5%	2	`y`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes18.0ms (0.2%)

Memory

-8.7MiB live, 28.6MiB allocated

Counts

15 → 5

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
5.0ms	x

Results

Accuracy	Segments	Branch
77.3%	5	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
72.2%	3	`x`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes30.0ms (0.3%)

Memory

28.4MiB live, 65.5MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

12.0ms	z
9.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
9.0ms	y

Results

Accuracy	Segments	Branch
72.5%	2	`y`
74.8%	4	`z`
67.1%	4	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`

Compiler

Compiled 12 to 15 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

-35.4MiB live, 11.4MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
72.4%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.4%	3	`z`
71.2%	3	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
58.7%	1	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes44.0ms (0.5%)

Memory

-19.1MiB live, 19.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

33.0ms	x
4.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
4.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
4.0ms	z

Results

Accuracy	Segments	Branch
58.7%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
58.7%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
58.7%	1	`x`
58.7%	1	`z`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes17.0ms (0.2%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
54.8%	2	`x`
52.2%	1	`y`
52.2%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
54.2%	2	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
59.5%	3	`z`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes17.0ms (0.2%)

Memory

-16.1MiB live, 22.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
3.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
52.2%	1	`y`
52.2%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
52.2%	1	`x`
52.2%	1	`z`

Compiler

Compiled 13 to 18 computations (-38.5% saved)

regimes15.0ms (0.2%)

Memory

-12.9MiB live, 23.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
29.4%	1	`x`
29.4%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`
29.4%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
29.4%	1	`y`
29.4%	1	`z`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes7.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB 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) z)

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
2.4%	1	`x`
2.4%	1	`y`
2.4%	1	`z`
2.4%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)`
2.4%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)`

Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch30.0ms (0.3%)

Memory

-11.1MiB live, 31.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	4.7414615386549104e+73	1.7794330108228275e+76
7.0ms	10.826521978409888	19.160367872810564

Samples

20.0ms

192×

valid

Compiler

Compiled 247 to 252 computations (-2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-log: 10.0ms (66.5% of total)

ival-sub: 2.0ms (13.3% of total)

ival-add: 2.0ms (13.3% of total)

ival-mult: 1.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Memory

14.5MiB live, 14.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.7414615386549104e+73	1.7794330108228275e+76
12.0ms	2.322713755866108e+25	3.936234202619757e+26

Samples

8.0ms

112×

valid

Compiler

Compiled 301 to 309 computations (-2.7% saved)

Precisions

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

ival-log: 2.0ms (40.8% of total)

ival-sub: 1.0ms (20.4% of total)

ival-add: 1.0ms (20.4% of total)

ival-mult: 1.0ms (20.4% 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

2.5MiB live, 2.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.7414615386549104e+73	1.7794330108228275e+76
1.0ms	2.322713755866108e+25	3.936234202619757e+26

Compiler

Compiled 293 to 309 computations (-5.5% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.322713755866108e+25	3.936234202619757e+26

Compiler

Compiled 141 to 149 computations (-5.7% saved)

bsearch17.0ms (0.2%)

Memory

-15.7MiB live, 22.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.5809261682705973e+205	9.86414660571224e+206

Samples

11.0ms

112×

valid

Compiler

Compiled 127 to 142 computations (-11.8% saved)

Precisions

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

ival-log: 5.0ms (58.3% of total)

ival-sub: 1.0ms (11.7% of total)

ival-add: 1.0ms (11.7% of total)

ival-mult: 1.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Memory

0.4MiB live, 37.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.6944741711618402e-70	1.4872802584007908e-68
14.0ms	-609661085877.2922	-494189932.8297431

Samples

20.0ms

240×

valid

Compiler

Compiled 300 to 316 computations (-5.3% saved)

Precisions

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

ival-log: 4.0ms (37.1% of total)

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

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

ival-mult: 2.0ms (18.5% 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

1.5MiB live, 1.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	349.86845069941955	19243.68388328473
0.0ms	-6.2051101948362364e+32	-8.997198874622237e+31
0.0ms	-1.7448439529814974e+49	-1.317191659689731e+49
0.0ms	-6.408498076604757e+203	-8.448377783770795e+193

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.5809261682705973e+205	9.86414660571224e+206

Compiler

Compiled 141 to 149 computations (-5.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.5809261682705973e+205	9.86414660571224e+206

Compiler

Compiled 134 to 149 computations (-11.2% saved)

bsearch38.0ms (0.4%)

Memory

6.9MiB live, 44.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	9.475881610270884e-7	17917265.18960497
14.0ms	-170671467282105.63	-540477919202.6799

Samples

23.0ms

288×

valid

Compiler

Compiled 303 to 340 computations (-12.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-log: 5.0ms (38.3% of total)

ival-sub: 3.0ms (23% of total)

ival-add: 3.0ms (23% of total)

ival-mult: 2.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch37.0ms (0.4%)

Memory

-0.9MiB live, 41.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.296357916267277e-9	9.475881610270884e-7
15.0ms	-2.986082785249918e-188	-3.0093058563015405e-194

Samples

23.0ms

272×

valid

Compiler

Compiled 270 to 305 computations (-13% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-log: 9.0ms (54.6% of total)

ival-add: 3.0ms (18.2% of total)

ival-sub: 2.0ms (12.1% of total)

ival-mult: 2.0ms (12.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify32.0ms (0.3%)

Memory

13.5MiB live, 51.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	1005
1	186	1005
2	232	1005
3	252	1005
4	261	1005
5	262	1005

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) y)) (.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(if (<=.f64 y #s(literal 4278419646001971/281474976710656 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 13999999999999999373291447535484353814613768098083201052227798322623281102848 binary64)) #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 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))))
(if (<=.f64 y #s(literal 240000000000000004563402752 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 13999999999999999373291447535484353814613768098083201052227798322623281102848 binary64)) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 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)))))
(if (<=.f64 y #s(literal 240000000000000004563402752 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 13999999999999999373291447535484353814613768098083201052227798322623281102848 binary64)) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) 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 240000000000000004563402752 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 (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 y x))))
(if (<=.f64 y #s(literal 43999999999999996721147986723613070588742945955195249265124368280271745416337538123422970732975297119581505158879165340305368972901269531061997292572973023167102899509379686758990065473828827183358138122240 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 (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))))
(if (<=.f64 x #s(literal -550000000 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) (if (<=.f64 x #s(literal 5828006676677187/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)))
(if (<=.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -499999999999999994384553937531647238254672299147749614987517424420146305911809334222213484730003449225929602672778211227407463065378690618207626935972713119573715974831195255889365439901082129323010293760 binary64)) #s(approx (- (- (- (+ y x) ( (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (.f64 (log.f64 y) y)))) (if (<=.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -15000000000000001144465476163783050494244745641984 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) (if (<=.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -499999999999999972787615493521408 binary64)) #s(approx (- (+ (- x ( (+ y 1/2) (log y))) y) z) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (if (<=.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 500 binary64)) (-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) #s(approx (+ (* -1/2 (log y)) x) (.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)))))
(if (<=.f64 y #s(literal 43999999999999996721147986723613070588742945955195249265124368280271745416337538123422970732975297119581505158879165340305368972901269531061997292572973023167102899509379686758990065473828827183358138122240 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))))
(if (<=.f64 y #s(literal 43999999999999996721147986723613070588742945955195249265124368280271745416337538123422970732975297119581505158879165340305368972901269531061997292572973023167102899509379686758990065473828827183358138122240 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) 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 -545000000000 binary64)) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 z #s(literal 205 binary64)) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
(if (<=.f64 z #s(literal -2273081856145007/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784 binary64)) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 z #s(literal 7366891713276647/18889465931478580854784 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))))
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) z)

Outputs
(-.f64 (-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) y)) (.f64 (log.f64 y) #s(literal 1/2 binary64))) z)
(-.f64 (-.f64 (-.f64 (+.f64 x y) (.f64 (log.f64 y) y)) (.f64 #s(literal 1/2 binary64) (log.f64 y))) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) y) z)
(if (<=.f64 y #s(literal 4278419646001971/281474976710656 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 13999999999999999373291447535484353814613768098083201052227798322623281102848 binary64)) #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 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))))
(if (<=.f64 y #s(literal 4278419646001971/281474976710656 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 13999999999999999373291447535484353814613768098083201052227798322623281102848 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y))) #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)))))
(if (<=.f64 y #s(literal 240000000000000004563402752 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 13999999999999999373291447535484353814613768098083201052227798322623281102848 binary64)) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 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)))))
(if (<=.f64 y #s(literal 240000000000000004563402752 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 13999999999999999373291447535484353814613768098083201052227798322623281102848 binary64)) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 x y))) #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)))))
(if (<=.f64 y #s(literal 240000000000000004563402752 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 13999999999999999373291447535484353814613768098083201052227798322623281102848 binary64)) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) 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 240000000000000004563402752 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 13999999999999999373291447535484353814613768098083201052227798322623281102848 binary64)) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 x y))) (-.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 240000000000000004563402752 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 (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 y x))))
(if (<=.f64 y #s(literal 240000000000000004563402752 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 (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) (+.f64 x y))))
(if (<=.f64 y #s(literal 43999999999999996721147986723613070588742945955195249265124368280271745416337538123422970732975297119581505158879165340305368972901269531061997292572973023167102899509379686758990065473828827183358138122240 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 (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))))
(if (<=.f64 x #s(literal -550000000 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) (if (<=.f64 x #s(literal 5828006676677187/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)))
(if (<=.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -499999999999999994384553937531647238254672299147749614987517424420146305911809334222213484730003449225929602672778211227407463065378690618207626935972713119573715974831195255889365439901082129323010293760 binary64)) #s(approx (- (- (- (+ y x) ( (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (.f64 (log.f64 y) y)))) (if (<=.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -15000000000000001144465476163783050494244745641984 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) (if (<=.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -499999999999999972787615493521408 binary64)) #s(approx (- (+ (- x ( (+ y 1/2) (log y))) y) z) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (if (<=.f64 (+.f64 (-.f64 x (.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 500 binary64)) (-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) #s(approx (+ (* -1/2 (log y)) x) (.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)))))
(if (<=.f64 (+.f64 (-.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) y) #s(literal -499999999999999994384553937531647238254672299147749614987517424420146305911809334222213484730003449225929602672778211227407463065378690618207626935972713119573715974831195255889365439901082129323010293760 binary64)) #s(approx (- (- (- (+ y x) ( (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (.f64 (log.f64 y) y)))) (if (<=.f64 (+.f64 (-.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) y) #s(literal -15000000000000001144465476163783050494244745641984 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) (if (<=.f64 (+.f64 (-.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) y) #s(literal -499999999999999972787615493521408 binary64)) #s(approx (- (+ (- x ( (+ y 1/2) (log y))) y) z) (.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (if (<=.f64 (+.f64 (-.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) y) #s(literal 500 binary64)) (-.f64 #s(approx (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) #s(approx (+ (* -1/2 (log y)) x) (.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)))))
(if (<=.f64 y #s(literal 43999999999999996721147986723613070588742945955195249265124368280271745416337538123422970732975297119581505158879165340305368972901269531061997292572973023167102899509379686758990065473828827183358138122240 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))))
(if (<=.f64 y #s(literal 43999999999999996721147986723613070588742945955195249265124368280271745416337538123422970732975297119581505158879165340305368972901269531061997292572973023167102899509379686758990065473828827183358138122240 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) 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 -545000000000 binary64)) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 z #s(literal 205 binary64)) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) #s(approx (+ (* (- -1/2 y) (log y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
(if (<=.f64 z #s(literal -2273081856145007/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784 binary64)) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 z #s(literal 7366891713276647/18889465931478580854784 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) #s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))))
#s(approx (- (- (- (+ y x) (* (log y) y)) (* (log y) 1/2)) z) (fma.f64 #s(approx (/ (+ (* (+ (* -1 y) -1/2) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) z)

soundness1.7s (17.5%)

Memory

-93.2MiB live, 1 194.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	192
0	67	190
1	356	169
2	3557	169
0	8337	165
0	362	5745
1	1129	5288
2	3358	4978
0	8384	4695
0	127	1334
1	415	1196
2	1319	1105
3	4704	1074
0	8534	991
0	523	6950
1	1706	6445
2	5635	6272
0	8226	5909
0	10	36
0	16	36
1	79	36
2	699	36
0	8843	33
0	504	7590
1	1613	6936
2	5187	6766
0	8240	6313
0	46	262
0	76	230
1	432	209
2	4363	204
0	8563	202

Stop Event

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

Compiler

Compiled 1 215 to 699 computations (42.5% saved)

preprocess113.0ms (1.2%)

Memory: 19.0MiB live, 208.9MiB allocated
Compiler: Compiled 928 to 260 computations (72% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample1.9s (20%)

explain416.0ms (4.3%)

preprocess181.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify128.0ms (1.3%)

localize80.0ms (0.8%)

series117.0ms (1.2%)

simplify273.0ms (2.8%)

rewrite196.0ms (2%)

eval116.0ms (1.2%)

prune20.0ms (0.2%)

simplify393.0ms (4.1%)

localize98.0ms (1%)

series123.0ms (1.3%)

simplify250.0ms (2.6%)

rewrite254.0ms (2.6%)

eval372.0ms (3.8%)

prune38.0ms (0.4%)

simplify124.0ms (1.3%)

localize107.0ms (1.1%)

series138.0ms (1.4%)

simplify163.0ms (1.7%)

rewrite189.0ms (2%)

eval216.0ms (2.2%)

prune59.0ms (0.6%)

simplify166.0ms (1.7%)

localize123.0ms (1.3%)

series165.0ms (1.7%)

simplify238.0ms (2.5%)

rewrite238.0ms (2.5%)

eval173.0ms (1.8%)

prune85.0ms (0.9%)

regimes95.0ms (1%)

regimes96.0ms (1%)

regimes44.0ms (0.5%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes17.0ms (0.2%)

regimes29.0ms (0.3%)

regimes30.0ms (0.3%)

regimes18.0ms (0.2%)

regimes30.0ms (0.3%)

regimes8.0ms (0.1%)

regimes12.0ms (0.1%)

regimes44.0ms (0.5%)

regimes17.0ms (0.2%)

regimes17.0ms (0.2%)

regimes15.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch30.0ms (0.3%)

bsearch15.0ms (0.2%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch17.0ms (0.2%)

bsearch32.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch38.0ms (0.4%)

bsearch37.0ms (0.4%)

simplify32.0ms (0.3%)

soundness1.7s (17.5%)

preprocess113.0ms (1.2%)

end0.0ms (0%)

Profiling