Metrics for Numeric.SpecFunctions.Extra:bd0 from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze70.0ms (0.7%)

Memory

28.5MiB live, 139.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	74.9%	0.1%	0%	25%	0%	3
0%	0%	74.9%	0.1%	0%	25%	0%	4
0%	0%	74.9%	0.1%	0%	25%	0%	5
30%	18.7%	43.7%	0.1%	0%	37.4%	0%	6
30%	18.7%	43.7%	0.1%	0%	37.4%	0%	7
35%	21.8%	40.6%	0.1%	0%	37.4%	0%	8
52.8%	29.6%	26.5%	0.1%	0%	43.7%	0%	9
52.8%	29.6%	26.5%	0.1%	0%	43.7%	0%	10
59.7%	33.5%	22.6%	0.1%	0%	43.7%	0%	11
72.8%	38.6%	14.4%	0.1%	0%	46.8%	0%	12

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.4s (13.5%)

Memory

-11.3MiB live, 1 312.8MiB allocated

Samples

975.0ms	8 256×	0	valid
92.0ms	540×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 577.0ms

ival-log: 197.0ms (34.2% of total)

ival-div: 155.0ms (26.9% of total)

ival-sub: 132.0ms (22.9% of total)

ival-mult: 82.0ms (14.2% of total)

ival-true: 7.0ms (1.2% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain173.0ms (1.6%)

Memory

27.2MiB live, 143.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
66	-	2	(2.076149388201412e-307 1129320137.2290313 2.5624286061651266e-27)	`(log.f64 (/.f64 x y))`
0	-	0	-	`(/.f64 x y)`
0	-	0	-	`(*.f64 x (log.f64 (/.f64 x y)))`
0	-	0	-	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
0	-	0	-	`y`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 x y))`	oflow-rescue	32	0
↳	`(/.f64 x y)`	overflow	32
`log.f64`	`(log.f64 (/.f64 x y))`	uflow-rescue	13	0
↳	`(/.f64 x y)`	underflow	32

Confusion

	Predicted +	Predicted -
+	44	19
-	1	192

Precision

0.9777777777777777

Recall

0.6984126984126984

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	44	0	19
-	1	0	192

Precision?

0.9777777777777777

Recall?

0.6984126984126984

Freqs

test

number	freq
0	211
1	45

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 132 to 46 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log: 7.0ms (38.8% of total)

ival-div: 5.0ms (27.7% of total)

ival-mult: 4.0ms (22.2% of total)

ival-sub: 2.0ms (11.1% of total)

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

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

preprocess103.0ms (1%)

Memory

-11.5MiB live, 71.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	83
1	65	81
2	144	78
3	328	78
4	555	78
5	945	78
6	1525	78
7	1867	78
8	2098	78
9	2174	78
10	2194	78
11	2196	78
12	2200	78
0	7	8
0	11	8
1	14	8
2	19	8
3	25	8
4	39	8
5	60	8
6	111	8
7	172	8
8	243	8
9	293	8
10	376	8
11	416	8
12	505	8
13	527	8
14	541	8
15	587	8
16	591	8
0	591	8

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Outputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.3%	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify25.0ms (0.2%)

Memory

-22.7MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 x y)
cost-diff	0	(log.f64 (/.f64 x y))
cost-diff	0	(*.f64 x (log.f64 (/.f64 x y)))
cost-diff	0	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	11	24
1	14	24
2	19	24
3	25	24
4	39	24
5	60	24
6	111	24
7	172	24
8	243	24
9	293	24
10	376	24
11	416	24
12	505	24
13	527	24
14	541	24
15	587	24
16	591	24
0	591	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(*.f64 x (log.f64 (/.f64 x y)))
x
(log.f64 (/.f64 x y))
(/.f64 x y)
y
z

Outputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(*.f64 x (log.f64 (/.f64 x y)))
(*.f64 (log.f64 (/.f64 x y)) x)
x
(log.f64 (/.f64 x y))
(/.f64 x y)
y
z

localize22.0ms (0.2%)

Memory

32.5MiB live, 32.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0.00390625	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
accuracy	0.26171875	(*.f64 x (log.f64 (/.f64 x y)))
accuracy	15.663171121223316	(log.f64 (/.f64 x y))

Samples

16.0ms

256×

valid

Compiler

Compiled 50 to 16 computations (68% saved)

Precisions

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

ival-log: 3.0ms (34.2% of total)

ival-div: 2.0ms (22.8% of total)

ival-mult: 2.0ms (22.8% of total)

ival-sub: 1.0ms (11.4% of total)

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

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

series201.0ms (1.9%)

Memory

-15.4MiB live, 135.8MiB allocated

Counts

4 → 108

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
69.0ms	x	@	-inf	((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
45.0ms	y	@	0	((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
32.0ms	y	@	-inf	((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
21.0ms	x	@	0	((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
15.0ms	z	@	0	((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))

simplify226.0ms (2.1%)

Memory

-6.2MiB live, 146.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	775
1	154	719
2	424	719
3	1132	719
4	2897	719
5	4858	719
6	5921	719
7	6565	719
8	6831	719
9	6911	719
10	7952	719
0	8339	719

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite232.0ms (2.2%)

Memory

-1.3MiB live, 285.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	11	21
1	38	21
2	230	21
3	2061	21
0	8395	21

Stop Event

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

Counts

4 → 309

Calls

Call 1

Inputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(*.f64 x (log.f64 (/.f64 x y)))
(log.f64 (/.f64 x y))
(/.f64 x y)

Outputs
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eval52.0ms (0.5%)

Memory: 9.7MiB live, 126.5MiB allocated
Compiler: Compiled 12 069 to 1 177 computations (90.2% saved)

prune76.0ms (0.7%)

Memory

-5.7MiB live, 73.4MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	396	21	417
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	397	21	418

Accuracy

100.0%

Counts

418 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.0%	(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
	56.3%	(fma.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
	44.5%	(fma.f64 (log.f64 (/.f64 x y)) (/.f64 (.f64 (.f64 x x) (log.f64 (/.f64 x y))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
	76.3%	(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
▶	56.4%	(fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
	76.2%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)))
	44.7%	(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)
	39.5%	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) x) (fma.f64 (log.f64 y) (log.f64 (.f64 y x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) z)
	40.1%	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x))) z)
	54.7%	(-.f64 (.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))))) z)
	35.7%	(-.f64 (.f64 x (/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 y) (log.f64 (.f64 y x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (log.f64 y) (log.f64 (.f64 y x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 y) (log.f64 (.f64 y x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) z)
▶	75.0%	(-.f64 (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x))))))) z)
	54.7%	(-.f64 (.f64 x (-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))) (/.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))))))) z)
▶	54.8%	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
▶	76.5%	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
	44.6%	(.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)))
	74.7%	(.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))))
	22.6%	#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
	38.7%	#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
	44.7%	#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
▶	47.7%	#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))

Compiler

Compiled 924 to 540 computations (41.6% saved)

simplify92.0ms (0.9%)

Memory

33.6MiB live, 114.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	192	(+.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x))))
cost-diff	192	(+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x)))))
cost-diff	7424	(*.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x)))
cost-diff	20736	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x))))))
cost-diff	0	(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x)
cost-diff	0	(/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z))
cost-diff	0	(fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
cost-diff	0	(log.f64 (neg.f64 x))
cost-diff	0	(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
cost-diff	0	(*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))
cost-diff	0	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
cost-diff	0	(log.f64 (/.f64 y x))
cost-diff	0	(neg.f64 (log.f64 (/.f64 y x)))
cost-diff	0	(*.f64 x (neg.f64 (log.f64 (/.f64 y x))))
cost-diff	128	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	341
0	75	262
1	135	262
2	264	262
3	536	262
4	1466	262
5	3703	262
6	6154	262
0	8146	260

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (1.2%)

Memory

-23.1MiB live, 258.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x))))))
accuracy	0.26009750976844204	(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))
accuracy	0.39593515629507237	(pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64))
accuracy	7.456308563357042	(log.f64 (/.f64 y x))
accuracy	0.26009750976844204	(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))
accuracy	7.456308563357042	(log.f64 (/.f64 y x))
accuracy	8.04153452517627	(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))
accuracy	8.094151990891952	(log.f64 (/.f64 x y))
accuracy	0	(log.f64 (neg.f64 y))
accuracy	0	(log.f64 (neg.f64 x))
accuracy	0.12890625	(*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))
accuracy	0.3197731998264691	(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
accuracy	0	(neg.f64 z)
accuracy	19.654957863784414	#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
accuracy	0	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
accuracy	0	(neg.f64 (log.f64 (/.f64 y x)))
accuracy	0.12890625	(*.f64 x (neg.f64 (log.f64 (/.f64 y x))))
accuracy	7.456308563357042	(log.f64 (/.f64 y x))

Samples

53.0ms	141×	0	valid
35.0ms	115×	0	invalid

Compiler

Compiled 680 to 81 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-div: 17.0ms (26% of total)

ival-mult: 13.0ms (19.8% of total)

ival-log: 11.0ms (16.8% of total)

ival-sub: 7.0ms (10.7% of total)

ival-add: 5.0ms (7.6% of total)

ival-neg: 5.0ms (7.6% of total)

ival-pow: 4.0ms (6.1% of total)

ival-pow2: 3.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series763.0ms (7.2%)

Memory

12.0MiB live, 843.6MiB allocated

Counts

22 → 564

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (patch (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) #<representation binary64>) () ())
#s(alt (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) (patch (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (/.f64 y x))) (patch (neg.f64 (log.f64 (/.f64 y x))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (patch (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) #<representation binary64>) () ())
#s(alt (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) (patch (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (patch (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) #<representation binary64>) () ())
#s(alt (log.f64 (neg.f64 x)) (patch (log.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x)))))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x)))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x))) (patch (.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x))))) (patch (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x))))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x)))) (patch (+.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 y x)))) #<representation binary64>) () ())
#s(alt (log.f64 (neg.f64 y)) (patch (log.f64 (neg.f64 y)) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (* x (log (/ y x)))) (taylor 0 z) (#s(alt (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (patch (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (patch (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (patch (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (patch (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) #<representation binary64>) () ())) ())
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x 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 (- (log (neg x)) (log (neg y)))) (taylor 0 z) (#s(alt (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (patch (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (- (log (neg x)) (log (neg y))))) (taylor 0 z) (#s(alt (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (patch (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (- (log (neg x)) (log (neg y))))) (taylor 0 z) (#s(alt (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (patch (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (- (log (neg x)) (log (neg y))))) (taylor 0 z) (#s(alt (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (patch (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (log (/ y x)) 2)) (log (/ x y))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (pow (log (/ y x)) 2)) (pow (log (/ x y)) 2))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* -1 (* z (+ (* -1 (/ (pow (log (/ y x)) 2) (* x (pow (log (/ x y)) 3)))) (/ 1 (* x (log (/ x y))))))) (/ (pow (log (/ y x)) 2) (pow (log (/ x y)) 2)))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (* z (- (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))) (/ (pow (log (/ y x)) 2) (* (pow x 2) (pow (log (/ x y)) 4))))) (+ (* -1 (/ (pow (log (/ y x)) 2) (* x (pow (log (/ x y)) 3)))) (/ 1 (* x (log (/ x y))))))) (/ (pow (log (/ y x)) 2) (pow (log (/ x y)) 2)))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
184.0ms	x	@	inf	((- (* x (neg (log (/ y x)))) z) (* x (neg (log (/ y x)))) (neg (log (/ y x))) (log (/ y x)) (- (* x (log (/ x y))) z) (neg z) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (+ (* x (/ (* (pow (log (/ y x)) 2) x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (/ (* (pow (log (/ y x)) 2) x) (+ (* (log (/ x y)) x) z)) (* (pow (log (/ y x)) 2) x) (pow (log (/ y x)) 2) (/ (- 0 (pow (log (/ y x)) 3)) (+ 0 (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x)))))) (* 0 (log (/ y x))) (+ 0 (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x))))) (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x)))) (log (neg y)) (log (/ x y)) (/ (* z z) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 3))
132.0ms	y	@	-inf	((- (* x (neg (log (/ y x)))) z) (* x (neg (log (/ y x)))) (neg (log (/ y x))) (log (/ y x)) (- (* x (log (/ x y))) z) (neg z) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (+ (* x (/ (* (pow (log (/ y x)) 2) x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (/ (* (pow (log (/ y x)) 2) x) (+ (* (log (/ x y)) x) z)) (* (pow (log (/ y x)) 2) x) (pow (log (/ y x)) 2) (/ (- 0 (pow (log (/ y x)) 3)) (+ 0 (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x)))))) (* 0 (log (/ y x))) (+ 0 (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x))))) (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x)))) (log (neg y)) (log (/ x y)) (/ (* z z) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 3))
83.0ms	x	@	0	((- (* x (neg (log (/ y x)))) z) (* x (neg (log (/ y x)))) (neg (log (/ y x))) (log (/ y x)) (- (* x (log (/ x y))) z) (neg z) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (+ (* x (/ (* (pow (log (/ y x)) 2) x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (/ (* (pow (log (/ y x)) 2) x) (+ (* (log (/ x y)) x) z)) (* (pow (log (/ y x)) 2) x) (pow (log (/ y x)) 2) (/ (- 0 (pow (log (/ y x)) 3)) (+ 0 (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x)))))) (* 0 (log (/ y x))) (+ 0 (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x))))) (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x)))) (log (neg y)) (log (/ x y)) (/ (* z z) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 3))
70.0ms	y	@	0	((- (* x (neg (log (/ y x)))) z) (* x (neg (log (/ y x)))) (neg (log (/ y x))) (log (/ y x)) (- (* x (log (/ x y))) z) (neg z) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (+ (* x (/ (* (pow (log (/ y x)) 2) x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (/ (* (pow (log (/ y x)) 2) x) (+ (* (log (/ x y)) x) z)) (* (pow (log (/ y x)) 2) x) (pow (log (/ y x)) 2) (/ (- 0 (pow (log (/ y x)) 3)) (+ 0 (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x)))))) (* 0 (log (/ y x))) (+ 0 (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x))))) (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x)))) (log (neg y)) (log (/ x y)) (/ (* z z) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 3))
53.0ms	y	@	inf	((- (* x (neg (log (/ y x)))) z) (* x (neg (log (/ y x)))) (neg (log (/ y x))) (log (/ y x)) (- (* x (log (/ x y))) z) (neg z) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (+ (* x (/ (* (pow (log (/ y x)) 2) x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (/ (* (pow (log (/ y x)) 2) x) (+ (* (log (/ x y)) x) z)) (* (pow (log (/ y x)) 2) x) (pow (log (/ y x)) 2) (/ (- 0 (pow (log (/ y x)) 3)) (+ 0 (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x)))))) (* 0 (log (/ y x))) (+ 0 (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x))))) (+ (pow (log (/ y x)) 2) (* 0 (log (/ y x)))) (log (neg y)) (log (/ x y)) (/ (* z z) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 3))

simplify225.0ms (2.1%)

Memory

-11.6MiB live, 347.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	576	7989
1	1830	7308
2	6593	7026
0	8938	6913

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 561

Calls

Call 1

Inputs
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z
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4)))) (/ (* (pow z 2) (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) x)) (/ (* z (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (/ (pow (+ (log (* -1 y)) (log (/ -1 x))) 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))
(* x (pow (+ (log (* -1 y)) (log (/ -1 x))) 2))
(* x (pow (+ (log (* -1 y)) (log (/ -1 x))) 2))
(* x (pow (+ (log (* -1 y)) (log (/ -1 x))) 2))
(* x (pow (+ (log (* -1 y)) (log (/ -1 x))) 2))
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(* -1 (+ (log (* -1 y)) (log (/ -1 x))))
(* -1 (+ (log (* -1 y)) (log (/ -1 x))))
(* -1 (+ (log (* -1 y)) (log (/ -1 x))))
(* -1 (+ (log (* -1 y)) (log (/ -1 x))))
0
0
0
0
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(/ (pow z 2) (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))
(* -1 (/ (+ (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) (/ (pow z 3) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ (pow z 4) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 5) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4))) (/ (pow z 4) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) x)) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x))
(pow (+ (log (* -1 y)) (log (/ -1 x))) 3)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 3)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 3)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 3)

Outputs
(* -1 (* x (log (/ y x))))
(*.f64 (neg.f64 x) (log.f64 (/.f64 y x)))
(+ (* -1 z) (* -1 (* x (log (/ y x)))))
(neg.f64 (fma.f64 (log.f64 (/.f64 y x)) x z))
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(+ (* -1 z) (* -1 (* x (log (/ y x)))))
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(* x (log (/ x y)))
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(+ (* -1 z) (* x (log (/ x y))))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(+ (* -1 z) (* x (log (/ x y))))
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(* -1 z)
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(*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)
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(/ (pow z 2) (* x (log (/ x y))))
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(* (pow z 2) (+ (* z (- (/ z (* (pow x 3) (pow (log (/ x y)) 3))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y))))))
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(* (pow z 2) (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow (log (/ x y)) 4)))) (/ 1 (* (pow x 3) (pow (log (/ x y)) 3))))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y))))))
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(* -1 z)
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(*.f64 (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (/.f64 x z) #s(literal -1 binary64)) z)
(* z (- (/ (* x (- (log (neg x)) (log (neg y)))) z) 1))
(*.f64 (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (/.f64 x z) #s(literal -1 binary64)) z)
(* z (- (/ (* x (- (log (neg x)) (log (neg y)))) z) 1))
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(* -1 z)
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(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))) (+ (/ (* x (log (/ x y))) z) (/ (* (pow x 2) (pow (log (/ y x)) 2)) (pow z 2)))) 1))
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(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))) (+ (/ (* x (log (/ x y))) z) (+ (/ (* (pow x 2) (pow (log (/ y x)) 2)) (pow z 2)) (/ (* (pow x 3) (pow (log (/ x y)) 3)) (pow z 3))))) (+ 1 (/ (* (pow x 3) (* (log (/ x y)) (pow (log (/ y x)) 2))) (pow z 3)))))
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(/ (* x (pow (log (/ y x)) 2)) z)
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z
(* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))
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(* x (pow (+ (log (* -1 y)) (log (/ -1 x))) 2))
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(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
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(* -1 (+ (log (* -1 y)) (log (/ -1 x))))
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(* -1 (+ (log (* -1 y)) (log (/ -1 x))))
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(* -1 (+ (log (* -1 y)) (log (/ -1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 y)))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
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(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
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(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
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(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
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rewrite234.0ms (2.2%)

Memory

14.0MiB live, 365.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	210
0	71	135
1	291	135
2	1943	135
0	8495	135

Stop Event

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

Counts

22 → 2 538

Calls

Call 1

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

Outputs
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eval735.0ms (6.9%)

Memory: 36.9MiB live, 836.2MiB allocated
Compiler: Compiled 148 960 to 8 356 computations (94.4% saved)

prune307.0ms (2.9%)

Memory

-28.3MiB live, 272.2MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	3 783	15	3 798
Fresh	8	8	16
Picked	3	2	5
Done	0	0	0
Total	3 794	25	3 819

Accuracy

100.0%

Counts

3 819 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.3%	(fma.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
	44.5%	(fma.f64 (log.f64 (/.f64 x y)) (/.f64 (.f64 (.f64 x x) (log.f64 (/.f64 x y))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
▶	76.3%	(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
	29.1%	(fma.f64 x #s(approx (/ (* (pow (log (/ y x)) 2) x) (+ (* (log (/ x y)) x) z)) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x z)) x)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
	54.8%	(-.f64 (fma.f64 (log.f64 (neg.f64 x)) x (*.f64 (neg.f64 (log.f64 (neg.f64 y))) x)) z)
	44.7%	(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)
	39.5%	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) x) (fma.f64 (log.f64 y) (log.f64 (.f64 y x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) z)
	40.1%	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x))) z)
	57.2%	(-.f64 (/.f64 (.f64 (.f64 (log.f64 (.f64 (neg.f64 y) (neg.f64 x))) (log.f64 (/.f64 x y))) x) (log.f64 (.f64 (neg.f64 y) (neg.f64 x)))) z)
▶	54.7%	(-.f64 (+.f64 (.f64 (log.f64 (neg.f64 x)) x) (.f64 (neg.f64 (log.f64 (neg.f64 y))) x)) z)
	74.7%	(-.f64 (*.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z)
	54.7%	(-.f64 (.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))))) z)
✓	54.8%	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
	74.9%	(-.f64 (.f64 x (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal -2 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)))) z)
	48.6%	#s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (*.f64 (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (/.f64 x z) #s(literal -1 binary64)) z))
	31.0%	#s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
	44.7%	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)))
▶	22.6%	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
	39.9%	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (neg.f64 x) (log.f64 (/.f64 y x))))
	18.7%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
▶	29.2%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
	68.3%	#s(approx (- (* x (log (/ x y))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
	38.7%	#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
✓	47.7%	#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
	32.9%	#s(approx (+ (* x (/ (* (pow (log (/ y x)) 2) x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x z)) (.f64 x x) (/.f64 (.f64 (neg.f64 z) z) (fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x z))))

Compiler

Compiled 842 to 585 computations (30.5% saved)

simplify169.0ms (1.6%)

Memory

31.3MiB live, 108.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (/.f64 y x))
cost-diff	0	(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x)
cost-diff	0	(fma.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
cost-diff	0	(log.f64 (neg.f64 x))
cost-diff	0	(*.f64 (log.f64 (neg.f64 x)) x)
cost-diff	0	(-.f64 (+.f64 (.f64 (log.f64 (neg.f64 x)) x) (.f64 (neg.f64 (log.f64 (neg.f64 y))) x)) z)
cost-diff	448	(+.f64 (.f64 (log.f64 (neg.f64 x)) x) (.f64 (neg.f64 (log.f64 (neg.f64 y))) x))
cost-diff	0	(log.f64 x)
cost-diff	0	(-.f64 (log.f64 x) (log.f64 y))
cost-diff	0	(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
cost-diff	0	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
cost-diff	0	(*.f64 (neg.f64 z) z)
cost-diff	0	#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
cost-diff	192	(+.f64 #s(literal 0 binary64) z)
cost-diff	1024	(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))
cost-diff	0	(neg.f64 z)
cost-diff	0	(/.f64 x y)
cost-diff	0	(log.f64 (/.f64 x y))
cost-diff	0	(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	249
0	78	235
1	133	231
2	278	229
3	554	229
4	1143	229
5	2343	229
6	4049	229
7	5673	229
8	6935	229
9	7761	229
0	8243	228

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (1.5%)

Memory

-13.4MiB live, 213.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 z z)
accuracy	0	(neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
accuracy	0	(log.f64 (/.f64 y x))
accuracy	0	(log.f64 (/.f64 x y))
accuracy	0	(neg.f64 y)
accuracy	0	(neg.f64 x)
accuracy	0	(log.f64 (neg.f64 y))
accuracy	0	(log.f64 (neg.f64 x))
accuracy	0	(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
accuracy	0	(log.f64 y)
accuracy	0	(log.f64 x)
accuracy	0	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
accuracy	0	(+.f64 #s(literal 0 binary64) z)
accuracy	0	(*.f64 (neg.f64 z) z)
accuracy	0	(neg.f64 z)
accuracy	0	#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
accuracy	0	(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
accuracy	0	(/.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	0	(log.f64 (/.f64 x y))

Samples

100.0ms

256×

invalid

Compiler

Compiled 474 to 81 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 35.0ms (44.4% of total)

ival-log: 15.0ms (19% of total)

ival-div: 9.0ms (11.4% of total)

ival-add: 6.0ms (7.6% of total)

ival-neg: 6.0ms (7.6% of total)

ival-sub: 4.0ms (5.1% of total)

ival-pow2: 3.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series377.0ms (3.5%)

Memory

14.7MiB live, 812.0MiB allocated

Counts

26 → 552

Calls

Call 1

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

Outputs
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#s(alt (* x (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (+ (log (* -1 y)) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (+ (log (* -1 y)) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow z 2) (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))) (patch (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow z 4) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3)))) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))) (patch (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 5) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4)))) (/ (pow z 4) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) x)) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))) (patch (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
67.0ms	x	@	0	((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (- (* x (neg (log (/ y x)))) z) (* (- (log x) (log y)) x) (- (log x) (log y)) (log x) (+ (* (log (neg x)) x) (* (neg (log (neg y))) x)) (- (+ (* (log (neg x)) x) (* (neg (log (neg y))) x)) z) (* (log (neg x)) x) (log (neg x)) (+ (* (* (pow (log (/ y x)) 2) x) (/ x (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (* (pow (log (/ y x)) 2) x) (pow (log (/ y x)) 2) (log (/ y x)) (log y) (log (neg y)) (neg x) (neg y) (neg (/ (* z z) (+ (* (log (/ x y)) x) z))) (* z z))
63.0ms	x	@	-inf	((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (- (* x (neg (log (/ y x)))) z) (* (- (log x) (log y)) x) (- (log x) (log y)) (log x) (+ (* (log (neg x)) x) (* (neg (log (neg y))) x)) (- (+ (* (log (neg x)) x) (* (neg (log (neg y))) x)) z) (* (log (neg x)) x) (log (neg x)) (+ (* (* (pow (log (/ y x)) 2) x) (/ x (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (* (pow (log (/ y x)) 2) x) (pow (log (/ y x)) 2) (log (/ y x)) (log y) (log (neg y)) (neg x) (neg y) (neg (/ (* z z) (+ (* (log (/ x y)) x) z))) (* z z))
55.0ms	x	@	inf	((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (- (* x (neg (log (/ y x)))) z) (* (- (log x) (log y)) x) (- (log x) (log y)) (log x) (+ (* (log (neg x)) x) (* (neg (log (neg y))) x)) (- (+ (* (log (neg x)) x) (* (neg (log (neg y))) x)) z) (* (log (neg x)) x) (log (neg x)) (+ (* (* (pow (log (/ y x)) 2) x) (/ x (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (* (pow (log (/ y x)) 2) x) (pow (log (/ y x)) 2) (log (/ y x)) (log y) (log (neg y)) (neg x) (neg y) (neg (/ (* z z) (+ (* (log (/ x y)) x) z))) (* z z))
53.0ms	y	@	0	((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (- (* x (neg (log (/ y x)))) z) (* (- (log x) (log y)) x) (- (log x) (log y)) (log x) (+ (* (log (neg x)) x) (* (neg (log (neg y))) x)) (- (+ (* (log (neg x)) x) (* (neg (log (neg y))) x)) z) (* (log (neg x)) x) (log (neg x)) (+ (* (* (pow (log (/ y x)) 2) x) (/ x (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (* (pow (log (/ y x)) 2) x) (pow (log (/ y x)) 2) (log (/ y x)) (log y) (log (neg y)) (neg x) (neg y) (neg (/ (* z z) (+ (* (log (/ x y)) x) z))) (* z z))
52.0ms	y	@	inf	((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (- (* x (neg (log (/ y x)))) z) (* (- (log x) (log y)) x) (- (log x) (log y)) (log x) (+ (* (log (neg x)) x) (* (neg (log (neg y))) x)) (- (+ (* (log (neg x)) x) (* (neg (log (neg y))) x)) z) (* (log (neg x)) x) (log (neg x)) (+ (* (* (pow (log (/ y x)) 2) x) (/ x (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (* (pow (log (/ y x)) 2) x) (pow (log (/ y x)) 2) (log (/ y x)) (log y) (log (neg y)) (neg x) (neg y) (neg (/ (* z z) (+ (* (log (/ x y)) x) z))) (* z z))

simplify193.0ms (1.8%)

Memory

15.2MiB live, 294.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	486	6260
1	1497	5886
2	5251	5684
0	8262	5602

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 540

Calls

Call 1

Inputs
(* x (log (/ x y)))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
z
(* x (log (/ x y)))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (* x (log (/ y x))))
(+ (* -1 z) (* -1 (* x (log (/ y x)))))
(+ (* -1 z) (* -1 (* x (log (/ y x)))))
(+ (* -1 z) (* -1 (* x (log (/ y x)))))
(+ (* -1 (* x (log (neg y)))) (* x (log (neg x))))
(+ (* -1 z) (+ (* -1 (* x (log (neg y)))) (* x (log (neg x)))))
(+ (* -1 z) (+ (* -1 (* x (log (neg y)))) (* x (log (neg x)))))
(+ (* -1 z) (+ (* -1 (* x (log (neg y)))) (* x (log (neg x)))))
(/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))
(+ (* -1 (/ (* z (pow (log (/ y x)) 2)) (pow (log (/ x y)) 2))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (pow (log (/ y x)) 2) (* x (pow (log (/ x y)) 3)))) (/ 1 (* x (log (/ x y))))))) (/ (pow (log (/ y x)) 2) (pow (log (/ x y)) 2)))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y))))
(+ (* z (- (* z (- (* z (- (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))) (/ (pow (log (/ y x)) 2) (* (pow x 2) (pow (log (/ x y)) 4))))) (+ (* -1 (/ (pow (log (/ y x)) 2) (* x (pow (log (/ x y)) 3)))) (/ 1 (* x (log (/ x y))))))) (/ (pow (log (/ y x)) 2) (pow (log (/ x y)) 2)))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y))))
(* -1 (/ (pow z 2) (* x (log (/ x y)))))
(* (pow z 2) (- (/ z (* (pow x 2) (pow (log (/ x y)) 2))) (/ 1 (* x (log (/ x y))))))
(* (pow z 2) (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log (/ x y)) 3)))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y))))))
(* (pow z 2) (- (* z (+ (* z (- (/ z (* (pow x 4) (pow (log (/ x y)) 4))) (/ 1 (* (pow x 3) (pow (log (/ x y)) 3))))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y))))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1 z)
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
z
(* -1 z)
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 z)
(* z (- (* -1 (/ (* x (log (/ y x))) z)) 1))
(* z (- (* -1 (/ (* x (log (/ y x))) z)) 1))
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Outputs
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(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 5) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4)))) (/ (pow z 4) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) x)) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x))
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rewrite194.0ms (1.8%)

Memory

-30.1MiB live, 328.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	186
0	78	140
1	280	136
2	2038	124
0	8814	124

Stop Event

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

Counts

26 → 1 665

Calls

Call 1

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

Outputs
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eval561.0ms (5.3%)

Memory: 39.0MiB live, 683.5MiB allocated
Compiler: Compiled 75 704 to 4 313 computations (94.3% saved)

prune107.0ms (1%)

Memory

-6.2MiB live, 272.7MiB allocated

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	2 565	20	2 585
Fresh	14	4	18
Picked	3	2	5
Done	0	2	2
Total	2 582	28	2 610

Accuracy

100.0%

Counts

2 610 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.7%	(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))
	72.2%	(fma.f64 (.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) #s(approx (neg (/ ( z z) (+ (* (log (/ x y)) x) z))) (neg.f64 z)))
	34.9%	(fma.f64 (log.f64 (/.f64 y x)) (.f64 (log.f64 (/.f64 y x)) (.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x)) (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
✓	76.3%	(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
	29.1%	(fma.f64 x #s(approx (/ (* (pow (log (/ y x)) 2) x) (+ (* (log (/ x y)) x) z)) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x z)) x)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
▶	74.7%	(-.f64 (*.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z)
✓	54.8%	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
	31.0%	#s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
	31.0%	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (neg.f64 x) (log.f64 (neg.f64 y)) (*.f64 (log.f64 (neg.f64 x)) x)))
▶	22.6%	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)))
	17.4%	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) x) (fma.f64 (log.f64 y) (log.f64 (.f64 y x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
▶	17.9%	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x))))
	30.9%	#s(approx (- (* x (neg (log (/ y x)))) z) (-.f64 (.f64 (log.f64 (neg.f64 x)) x) (.f64 (log.f64 (neg.f64 y)) x)))
	30.9%	#s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y)))))) (log.f64 (neg.f64 x))) x))
✓	22.6%	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
	38.4%	#s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))) x))
	39.9%	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
▶	38.7%	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (log.f64 (/.f64 x y)) x))
	29.2%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
	2.3%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z))
	2.3%	#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
	47.5%	#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
	68.3%	#s(approx (- (* x (log (/ x y))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
	2.3%	#s(approx (- (* x (log (/ x y))) z) (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 z z)))
✓	47.7%	#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
	1.2%	#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64))))
▶	2.3%	#s(approx (- (* x (log (/ x y))) z) z)
	32.9%	#s(approx (+ (* (* (pow (log (/ y x)) 2) x) (/ x (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x z)) (.f64 x x) (/.f64 (.f64 (neg.f64 z) z) (fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x z))))

Compiler

Compiled 742 to 568 computations (23.5% saved)

simplify101.0ms (0.9%)

Memory

-0.8MiB live, 149.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))
cost-diff	0	(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x)
cost-diff	0	(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x)))
cost-diff	0	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x))))
cost-diff	0	(*.f64 (neg.f64 (log.f64 y)) x)
cost-diff	0	(log.f64 x)
cost-diff	0	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)))
cost-diff	320	(fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))
cost-diff	0	(/.f64 x y)
cost-diff	0	(log.f64 (/.f64 x y))
cost-diff	0	(*.f64 (log.f64 (/.f64 x y)) x)
cost-diff	0	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (log.f64 (/.f64 x y)) x))
cost-diff	0	#s(approx (- (* x (log (/ x y))) z) z)
cost-diff	0	(pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64))
cost-diff	0	(*.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))))
cost-diff	0	(-.f64 (*.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z)
cost-diff	20736	(/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	237
0	59	235
1	94	233
2	165	212
3	331	206
4	788	206
5	2909	206
6	5988	206
0	8421	203

Stop Event

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

Calls

Call 1

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

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

localize367.0ms (3.4%)

Memory

-15.8MiB live, 231.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	0.2756573264992109	(-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))
accuracy	5.590381406824502	(log.f64 (*.f64 y x))
accuracy	14.15245076694623	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x))))
accuracy	0	(log.f64 x)
accuracy	0.0859375	(*.f64 (neg.f64 (log.f64 y)) x)
accuracy	0.2947761242966817	(fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))
accuracy	14.15245076694623	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)))
accuracy	0	(/.f64 x y)
accuracy	0.1328125	(*.f64 (log.f64 (/.f64 x y)) x)
accuracy	7.569019130331373	(log.f64 (/.f64 x y))
accuracy	14.15245076694623	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (log.f64 (/.f64 x y)) x))
accuracy	28.12812032032082	#s(approx (- (* x (log (/ x y))) z) z)
accuracy	0.1875	(/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))
accuracy	0.213222509768442	(pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))
accuracy	0.31972509768442015	(pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64))
accuracy	7.569019130331373	(log.f64 (/.f64 x y))

Samples

300.0ms	141×	0	invalid
38.0ms	115×	0	valid

Compiler

Compiled 406 to 64 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 309.0ms

ival-mult: 243.0ms (78.7% of total)

ival-log: 20.0ms (6.5% of total)

ival-pow: 17.0ms (5.5% of total)

ival-div: 11.0ms (3.6% of total)

ival-pow2: 7.0ms (2.3% of total)

ival-sub: 5.0ms (1.6% of total)

ival-add: 4.0ms (1.3% of total)

ival-neg: 2.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series336.0ms (3.2%)

Memory

34.0MiB live, 467.9MiB allocated

Counts

20 → 516

Calls

Call 1

Inputs
#s(alt (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) (patch (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) (patch (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) (patch (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (log (/ x y))) z) z) (patch #s(approx (- (* x (log (/ x y))) z) z) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 (/.f64 x y)) x) (patch (.f64 (log.f64 (/.f64 x y)) x) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x)) (patch (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x))) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 (log.f64 y)) x) (patch (.f64 (neg.f64 (log.f64 y)) x) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x)))) (patch #s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x))) (patch (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (patch (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (.f64 y x)) (patch (log.f64 (.f64 y x)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) (patch (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) (patch (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) (patch (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) (patch (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) z) (patch #s(approx (- (* x (log (/ x y))) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) z) (patch #s(approx (- (* x (log (/ x y))) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) z) (patch #s(approx (- (* x (log (/ x y))) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) z) (patch #s(approx (- (* x (log (/ x y))) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ y x)))) (taylor 0 z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ y x)))) (taylor 0 z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x))) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x))) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x))) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x))) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ y x)))) (taylor 0 z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x)))) (patch #s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x)))) (patch #s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x)))) (patch #s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x)))) (patch #s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) (patch (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) (patch (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) (patch (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) (patch (-.f64 (.f64 x (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* x (log (/ x y))) z) z) (patch #s(approx (- (* x (log (/ x y))) z) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt #s(approx (- (* x (log (/ x y))) z) z) (patch #s(approx (- (* x (log (/ x y))) z) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt #s(approx (- (* x (log (/ x y))) z) z) (patch #s(approx (- (* x (log (/ x y))) z) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt #s(approx (- (* x (log (/ x y))) z) z) (patch #s(approx (- (* x (log (/ x y))) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ (* x (log (/ y x))) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ (* x (log (/ y x))) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ (* x (log (/ y x))) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x))) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ (* x (log (/ y x))) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x))) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ (* x (log (/ y x))) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x))) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* -1 (/ (* x (log (/ y x))) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x))) (patch #s(approx (- ( x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x)))) (patch #s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (.f64 y x)))) #<representation binary64>) () ())) ())
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#s(alt (* x (- (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow (log y) 2))) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (patch (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
74.0ms	x	@	0	((/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2)) (- (* x (/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2))) z) (* x (/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2))) (pow (log (/ x y)) 3) (- (* x (log (/ x y))) z) (- (* x (neg (log (/ y x)))) z) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (+ (* (log x) x) (* (neg (log y)) x)) (- (* x (neg (log (/ y x)))) z) (log x) (* (neg (log y)) x) (- (* x (neg (log (/ y x)))) z) (/ (* (- (pow (log x) 2) (pow (log y) 2)) x) (log (* y x))) (* (- (pow (log x) 2) (pow (log y) 2)) x) (- (pow (log x) 2) (pow (log y) 2)) (pow (log (/ x y)) 2) (log (* y x)) (pow (log x) 2))
64.0ms	y	@	inf	((/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2)) (- (* x (/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2))) z) (* x (/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2))) (pow (log (/ x y)) 3) (- (* x (log (/ x y))) z) (- (* x (neg (log (/ y x)))) z) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (+ (* (log x) x) (* (neg (log y)) x)) (- (* x (neg (log (/ y x)))) z) (log x) (* (neg (log y)) x) (- (* x (neg (log (/ y x)))) z) (/ (* (- (pow (log x) 2) (pow (log y) 2)) x) (log (* y x))) (* (- (pow (log x) 2) (pow (log y) 2)) x) (- (pow (log x) 2) (pow (log y) 2)) (pow (log (/ x y)) 2) (log (* y x)) (pow (log x) 2))
46.0ms	y	@	0	((/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2)) (- (* x (/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2))) z) (* x (/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2))) (pow (log (/ x y)) 3) (- (* x (log (/ x y))) z) (- (* x (neg (log (/ y x)))) z) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (+ (* (log x) x) (* (neg (log y)) x)) (- (* x (neg (log (/ y x)))) z) (log x) (* (neg (log y)) x) (- (* x (neg (log (/ y x)))) z) (/ (* (- (pow (log x) 2) (pow (log y) 2)) x) (log (* y x))) (* (- (pow (log x) 2) (pow (log y) 2)) x) (- (pow (log x) 2) (pow (log y) 2)) (pow (log (/ x y)) 2) (log (* y x)) (pow (log x) 2))
41.0ms	x	@	-inf	((/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2)) (- (* x (/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2))) z) (* x (/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2))) (pow (log (/ x y)) 3) (- (* x (log (/ x y))) z) (- (* x (neg (log (/ y x)))) z) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (+ (* (log x) x) (* (neg (log y)) x)) (- (* x (neg (log (/ y x)))) z) (log x) (* (neg (log y)) x) (- (* x (neg (log (/ y x)))) z) (/ (* (- (pow (log x) 2) (pow (log y) 2)) x) (log (* y x))) (* (- (pow (log x) 2) (pow (log y) 2)) x) (- (pow (log x) 2) (pow (log y) 2)) (pow (log (/ x y)) 2) (log (* y x)) (pow (log x) 2))
40.0ms	y	@	-inf	((/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2)) (- (* x (/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2))) z) (* x (/ (pow (log (/ x y)) 3) (pow (log (/ x y)) 2))) (pow (log (/ x y)) 3) (- (* x (log (/ x y))) z) (- (* x (neg (log (/ y x)))) z) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (+ (* (log x) x) (* (neg (log y)) x)) (- (* x (neg (log (/ y x)))) z) (log x) (* (neg (log y)) x) (- (* x (neg (log (/ y x)))) z) (/ (* (- (pow (log x) 2) (pow (log y) 2)) x) (log (* y x))) (* (- (pow (log x) 2) (pow (log y) 2)) x) (- (pow (log x) 2) (pow (log y) 2)) (pow (log (/ x y)) 2) (log (* y x)) (pow (log x) 2))

simplify164.0ms (1.5%)

Memory

-0.7MiB live, 198.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	4653
1	439	4293
2	1291	4267
3	3527	4241
4	7474	4241
0	8126	4205

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

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

rewrite94.0ms (0.9%)

Memory

-12.2MiB live, 75.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	201
0	59	155
1	207	145
0	1235	145

Stop Event

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

Counts

20 → 492

Calls

Call 1

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

Outputs
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eval159.0ms (1.5%)

Memory: 23.8MiB live, 281.2MiB allocated
Compiler: Compiled 21 182 to 1 850 computations (91.3% saved)

prune77.0ms (0.7%)

Memory

-29.2MiB live, 162.5MiB allocated

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	1 244	4	1 248
Fresh	3	16	19
Picked	2	3	5
Done	0	4	4
Total	1 249	27	1 276

Accuracy

100.0%

Counts

1 276 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.7%	(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))
✓	76.3%	(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
✓	54.8%	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
	31.0%	#s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
	31.0%	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (neg.f64 x) (log.f64 (neg.f64 y)) (*.f64 (log.f64 (neg.f64 x)) x)))
✓	22.6%	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)))
	16.8%	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (exp.f64 (.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64))) x (.f64 (neg.f64 (log.f64 y)) x)))
	11.3%	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 x) x) #s(literal 2 binary64)) (pow.f64 (.f64 (neg.f64 (log.f64 y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 x) x (*.f64 (log.f64 y) x))))
	37.0%	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) x) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))))
	17.4%	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) x) (fma.f64 (log.f64 y) (log.f64 (.f64 y x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
	38.6%	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 x (pow.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))
	30.9%	#s(approx (- (* x (neg (log (/ y x)))) z) (-.f64 (.f64 (log.f64 (neg.f64 x)) x) (.f64 (log.f64 (neg.f64 y)) x)))
	30.9%	#s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (neg.f64 y)))))) (log.f64 (neg.f64 x))) x))
✓	22.6%	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
	38.4%	#s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))) x))
	39.9%	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
✓	38.7%	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (log.f64 (/.f64 x y)) x))
	29.2%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
	2.3%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z))
	2.3%	#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
	47.5%	#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
	68.3%	#s(approx (- (* x (log (/ x y))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
	2.3%	#s(approx (- (* x (log (/ x y))) z) (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 z z)))
✓	47.7%	#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
	1.2%	#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64))))
✓	2.3%	#s(approx (- (* x (log (/ x y))) z) z)
	32.9%	#s(approx (+ (* (* (pow (log (/ y x)) 2) x) (/ x (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) (fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x z)) (.f64 x x) (/.f64 (.f64 (neg.f64 z) z) (fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x z))))

Compiler

Compiled 1 393 to 522 computations (62.5% saved)

regimes280.0ms (2.6%)

Memory

-26.1MiB live, 206.7MiB allocated

Counts

61 → 2

Calls

Call 1

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

Outputs
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)

Calls

5 calls:

49.0ms	z
43.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
18.0ms	y
16.0ms	x
15.0ms	(*.f64 x (log.f64 (/.f64 x y)))

Results

Accuracy	Segments	Branch
99.5%	2	`x`
99.5%	2	`y`
76.5%	1	`z`
87.7%	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
87.7%	3	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes17.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

26 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
99.5%	2	`x`
99.5%	2	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes18.0ms (0.2%)

Memory

-14.5MiB live, 23.5MiB allocated

Counts

25 → 4

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
93.4%	4	`x`
90.7%	3	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes15.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

23 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
88.1%	2	`y`
90.5%	3	`x`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes28.0ms (0.3%)

Memory

-5.3MiB live, 37.0MiB allocated

Counts

20 → 4

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
6.0ms	x
6.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
6.0ms	(*.f64 x (log.f64 (/.f64 x y)))

Results

Accuracy	Segments	Branch
84.3%	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
84.3%	3	`(*.f64 x (log.f64 (/.f64 x y)))`
76.5%	1	`y`
86.5%	4	`x`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes19.0ms (0.2%)

Memory

-5.5MiB live, 32.5MiB allocated

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(*.f64 x (log.f64 (/.f64 x y)))
6.0ms	x
5.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Results

Accuracy	Segments	Branch
83.7%	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
83.7%	3	`(*.f64 x (log.f64 (/.f64 x y)))`
83.1%	3	`x`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes9.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	(*.f64 x (log.f64 (/.f64 x y)))
4.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Results

Accuracy	Segments	Branch
83.7%	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
83.7%	3	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes23.0ms (0.2%)

Memory

1.9MiB live, 39.8MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	(*.f64 x (log.f64 (/.f64 x y)))
4.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Results

Accuracy	Segments	Branch
53.5%	4	`y`
67.3%	3	`z`
66.3%	3	`x`
52.5%	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
65.5%	5	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes9.0ms (0.1%)

Memory

-22.0MiB live, 16.6MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
65.0%	3	`x`
66.1%	3	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes39.0ms (0.4%)

Memory

-14.6MiB live, 29.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
3.0ms	(*.f64 x (log.f64 (/.f64 x y)))

Results

Accuracy	Segments	Branch
47.7%	1	`y`
47.7%	1	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
47.7%	1	`(*.f64 x (log.f64 (/.f64 x y)))`
47.7%	1	`x`
47.7%	1	`z`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (log (/ x y))) z) z)

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

Calls

5 calls:

1.0ms	x
1.0ms	(*.f64 x (log.f64 (/.f64 x y)))
1.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
2.3%	1	`x`
2.3%	1	`z`
2.3%	1	`y`
2.3%	1	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
2.3%	1	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

bsearch44.0ms (0.4%)

Memory

7.1MiB live, 44.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	-3.545719336094594e-303	2.9196623271417986e-301

Samples

24.0ms	160×	0	valid
8.0ms	139×	0	invalid

Compiler

Compiled 231 to 223 computations (3.5% saved)

Precisions

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

ival-div: 3.0ms (32.7% of total)

ival-log: 3.0ms (32.7% of total)

ival-mult: 2.0ms (21.8% of total)

ival-sub: 1.0ms (10.9% of total)

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

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

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3.545719336094594e-303	2.9196623271417986e-301

Compiler

Compiled 221 to 223 computations (-0.9% saved)

bsearch43.0ms (0.4%)

Memory

-0.3MiB live, 71.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-2.5833228696646656e-306	2.076149388201412e-307
15.0ms	-6.518304777078255e-167	-7.980914268333641e-168
18.0ms	-5.2470577340432435e+127	-4.6691179841457327e+126

Samples

16.0ms	224×	0	valid
9.0ms	160×	0	invalid

Compiler

Compiled 223 to 255 computations (-14.3% saved)

Precisions

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

ival-div: 6.0ms (40.5% of total)

ival-log: 4.0ms (27% of total)

ival-mult: 3.0ms (20.3% of total)

ival-sub: 2.0ms (13.5% of total)

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

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

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-2.5833228696646656e-306	2.076149388201412e-307
1.0ms	-6.518304777078255e-167	-7.980914268333641e-168

Compiler

Compiled 109 to 135 computations (-23.9% saved)

bsearch87.0ms (0.8%)

Memory

0.5MiB live, 88.6MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	9.012118486557317e+157	2.964419252039667e+163
37.0ms	1.3915000931769835e-58	8.349166140671327e-52
1.0ms	-6.518304777078255e-167	-7.980914268333641e-168

Samples

42.0ms	288×	0	valid
20.0ms	360×	0	invalid

Compiler

Compiled 344 to 400 computations (-16.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sub: 19.0ms (42.6% of total)

ival-div: 15.0ms (33.6% of total)

ival-log: 6.0ms (13.5% of total)

ival-mult: 4.0ms (9% of total)

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

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.516549676337419e+293	+inf
0.0ms	-inf	-1.2581270437051656e+302

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.516549676337419e+293	+inf
0.0ms	-inf	-1.2581270437051656e+302

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch39.0ms (0.4%)

Memory

-19.7MiB live, 53.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2553496117329317e-57	8.56691670098257e-55
21.0ms	-3.315538045956855e-24	-8.262201562567869e-35

Samples

22.0ms

288×

valid

Compiler

Compiled 209 to 283 computations (-35.4% saved)

Precisions

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

ival-log: 4.0ms (40.3% of total)

ival-div: 3.0ms (30.3% of total)

ival-mult: 2.0ms (20.2% of total)

ival-sub: 1.0ms (10.1% of total)

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

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

bsearch2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2553496117329317e-57	8.56691670098257e-55
1.0ms	-3.315538045956855e-24	-8.262201562567869e-35

Compiler

Compiled 191 to 265 computations (-38.7% saved)

simplify36.0ms (0.3%)

Memory

29.4MiB live, 70.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	442
1	128	442
2	162	442
3	183	442
4	189	442
5	190	442

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x)) z))
(if (<=.f64 y #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) #s(approx (- ( x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))
(if (<=.f64 x #s(literal -52000000000000003909073319658946848628514311346325227101111273322603828112605590642556137257083417842269829662020331368987230208 binary64)) #s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) (if (<=.f64 x #s(literal -4116319444329945/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064 binary64)) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))))
(if (<=.f64 x #s(literal -4116319444329945/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064 binary64)) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))))
(if (<=.f64 x #s(literal -4116319444329945/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064 binary64)) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x #s(literal 5088519546561747/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 x #s(literal 249999999999999984462484909529099366612631289859741996343931328980671464720591250623213874241010765233724994905473553250795631773477162333940747480175387850309632 binary64)) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) #s(approx (- ( x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)))))
(if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) #s(literal -inf.0 binary64)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) #s(literal 1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) #s(literal -inf.0 binary64)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) #s(literal 1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056 binary64)) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 z #s(literal -5023911878324979/11417981541647679048466287755595961091061972992 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 8282095616148677/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (neg.f64 x) (log.f64 (/.f64 y x)))) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 z #s(literal -5023911878324979/11417981541647679048466287755595961091061972992 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 8282095616148677/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (- (* x (log (/ x y))) z) (.f64 (log.f64 (/.f64 x y)) x)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z))))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) z)

Outputs
(if (<=.f64 y #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x)) z))
(if (<=.f64 y #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x) z) (-.f64 (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x)) z))
(if (<=.f64 y #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) #s(approx (- ( x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))
(if (<=.f64 y #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x) z) #s(approx (- ( x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))
(if (<=.f64 x #s(literal -52000000000000003909073319658946848628514311346325227101111273322603828112605590642556137257083417842269829662020331368987230208 binary64)) #s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) (if (<=.f64 x #s(literal -4116319444329945/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064 binary64)) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))))
(if (<=.f64 x #s(literal -52000000000000003909073319658946848628514311346325227101111273322603828112605590642556137257083417842269829662020331368987230208 binary64)) #s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) (if (<=.f64 x #s(literal -4116319444329945/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064 binary64)) (-.f64 (.f64 (log.f64 (/.f64 y x)) (neg.f64 x)) z) (if (<=.f64 x #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))))
(if (<=.f64 x #s(literal -4116319444329945/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064 binary64)) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))))
(if (<=.f64 x #s(literal -4116319444329945/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064 binary64)) (-.f64 (.f64 (log.f64 (/.f64 y x)) (neg.f64 x)) z) (if (<=.f64 x #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))))
(if (<=.f64 x #s(literal -4116319444329945/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064 binary64)) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x #s(literal 5088519546561747/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 x #s(literal 249999999999999984462484909529099366612631289859741996343931328980671464720591250623213874241010765233724994905473553250795631773477162333940747480175387850309632 binary64)) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) #s(approx (- ( x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)))))
(if (<=.f64 x #s(literal -4116319444329945/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064 binary64)) (-.f64 (.f64 (log.f64 (/.f64 y x)) (neg.f64 x)) z) (if (<=.f64 x #s(literal 5088519546561747/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 x #s(literal 249999999999999984462484909529099366612631289859741996343931328980671464720591250623213874241010765233724994905473553250795631773477162333940747480175387850309632 binary64)) (-.f64 (.f64 (log.f64 (/.f64 y x)) (neg.f64 x)) z) #s(approx (- ( x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)))))
(if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) #s(literal -inf.0 binary64)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) #s(literal 1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal -inf.0 binary64)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) #s(literal -inf.0 binary64)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) #s(literal 1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056 binary64)) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal -inf.0 binary64)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056 binary64)) (-.f64 (.f64 (log.f64 (/.f64 x y)) x) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 z #s(literal -5023911878324979/11417981541647679048466287755595961091061972992 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 8282095616148677/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (neg.f64 x) (log.f64 (/.f64 y x)))) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 z #s(literal -5023911878324979/11417981541647679048466287755595961091061972992 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 8282095616148677/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (log.f64 (/.f64 y x)) (neg.f64 x))) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 z #s(literal -5023911878324979/11417981541647679048466287755595961091061972992 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 8282095616148677/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) #s(approx (- (* x (log (/ x y))) z) (.f64 (log.f64 (/.f64 x y)) x)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z))))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) z)

soundness1.6s (15.1%)

Memory

-20.3MiB live, 853.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	210
0	71	135
1	291	135
2	1943	135
0	8495	135
0	576	7989
1	1830	7308
2	6593	7026
0	8938	6913
0	54	775
1	154	719
2	424	719
3	1132	719
4	2897	719
5	4858	719
6	5921	719
7	6565	719
8	6831	719
9	6911	719
10	7952	719
0	8339	719
0	46	186
0	78	140
1	280	136
2	2038	124
0	8814	124
0	7	21
0	11	21
1	38	21
2	230	21
3	2061	21
0	8395	21

Stop Event

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

Compiler

Compiled 497 to 274 computations (44.9% saved)

preprocess155.0ms (1.5%)

Memory: 26.7MiB live, 146.1MiB allocated
Compiler: Compiled 614 to 192 computations (68.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	24
0	11	24
1	14	24
2	19	24
3	25	24
4	39	24
5	60	24
6	111	24
7	172	24
8	243	24
9	293	24
10	376	24
11	416	24
12	505	24
13	527	24
14	541	24
15	587	24
16	591	24
0	591	24

Iter	Nodes	Cost
0	7	24
0	11	24
1	14	24
2	19	24
3	25	24
4	39	24
5	60	24
6	111	24
7	172	24
8	243	24
9	293	24
10	376	24
11	416	24
12	505	24
13	527	24
14	541	24
15	587	24
16	591	24
0	591	24

start0.0ms (0%)

analyze70.0ms (0.7%)

sample1.4s (13.5%)

explain173.0ms (1.6%)

preprocess103.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify25.0ms (0.2%)

localize22.0ms (0.2%)

series201.0ms (1.9%)

simplify226.0ms (2.1%)

rewrite232.0ms (2.2%)

eval52.0ms (0.5%)

prune76.0ms (0.7%)

simplify92.0ms (0.9%)

localize132.0ms (1.2%)

series763.0ms (7.2%)

simplify225.0ms (2.1%)

rewrite234.0ms (2.2%)

eval735.0ms (6.9%)

prune307.0ms (2.9%)

simplify169.0ms (1.6%)

localize164.0ms (1.5%)

series377.0ms (3.5%)

simplify193.0ms (1.8%)

rewrite194.0ms (1.8%)

eval561.0ms (5.3%)

prune107.0ms (1%)

simplify101.0ms (0.9%)

localize367.0ms (3.4%)

series336.0ms (3.2%)

simplify164.0ms (1.5%)

rewrite94.0ms (0.9%)

eval159.0ms (1.5%)

prune77.0ms (0.7%)

regimes280.0ms (2.6%)

regimes17.0ms (0.2%)

regimes18.0ms (0.2%)

regimes15.0ms (0.1%)

regimes28.0ms (0.3%)

regimes19.0ms (0.2%)

regimes9.0ms (0.1%)

regimes23.0ms (0.2%)

regimes9.0ms (0.1%)

regimes39.0ms (0.4%)

regimes7.0ms (0.1%)

bsearch44.0ms (0.4%)

bsearch1.0ms (0%)

bsearch43.0ms (0.4%)

bsearch1.0ms (0%)

bsearch87.0ms (0.8%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch39.0ms (0.4%)

bsearch2.0ms (0%)

simplify36.0ms (0.3%)

soundness1.6s (15.1%)

preprocess155.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	24
0	11	24
1	14	24
2	19	24
3	25	24
4	39	24
5	60	24
6	111	24
7	172	24
8	243	24
9	293	24
10	376	24
11	416	24
12	505	24
13	527	24
14	541	24
15	587	24
16	591	24
0	591	24