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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze71.0ms (0.7%)

Memory

41.9MiB live, 113.5MiB 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)

sample1.2s (12.3%)

Memory

-164.5MiB live, 1 208.0MiB allocated

Samples

901.0ms	8 256×	0	valid
27.0ms	504×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 544.0ms

ival-div: 313.0ms (57.5% of total)

ival-log: 111.0ms (20.4% of total)

ival-mult: 58.0ms (10.7% of total)

ival-sub: 53.0ms (9.7% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain107.0ms (1.1%)

Memory

27.0MiB live, 148.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
70	-	-	`(log.f64 (/.f64 x y))`
0	-	-	`(/.f64 x y)`
0	-	-	`(*.f64 x (log.f64 (/.f64 x y)))`
0	-	-	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
0	-	-	`y`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 x y))`	oflow-rescue	36	0
↳	`(/.f64 x y)`	overflow	36
`log.f64`	`(log.f64 (/.f64 x y))`	uflow-rescue	9	0
↳	`(/.f64 x y)`	underflow	34

Confusion

	Predicted +	Predicted -
+	44	25
-	1	186

Precision

0.9777777777777777

Recall

0.6376811594202898

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	44	0	25
-	1	0	186

Precision?

0.9777777777777777

Recall?

0.6376811594202898

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 60 to 25 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-log: 7.0ms (36% of total)

ival-mult: 6.0ms (30.9% of total)

ival-div: 4.0ms (20.6% of total)

ival-sub: 2.0ms (10.3% of total)

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

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

preprocess78.0ms (0.8%)

Memory

6.6MiB live, 81.3MiB allocated

Algorithm

1×	egg-herbie

Rules

330×	`associate-l`
288×	`associate-r`
214×	`distribute-rgt-in`
208×	`lower-fma.f64`
208×	`lower-fma.f32`

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

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.2%	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify32.0ms (0.3%)

Memory

-34.9MiB live, 12.0MiB 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)

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
160×	`lower-*.f32`
158×	`lower-*.f64`
72×	`lower-+.f64`

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

localize20.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0.01171875	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
accuracy	0.21875	(*.f64 x (log.f64 (/.f64 x y)))
accuracy	16.966745179291213	(log.f64 (/.f64 x y))

Samples

15.0ms

256×

valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-log: 3.0ms (35.6% of total)

ival-div: 2.0ms (23.8% of total)

ival-mult: 2.0ms (23.8% of total)

ival-sub: 1.0ms (11.9% of total)

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

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

series144.0ms (1.4%)

Memory

4.8MiB live, 171.1MiB 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
31.0ms	x	@	-inf	((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
30.0ms	y	@	0	((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
23.0ms	x	@	0	((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
21.0ms	x	@	inf	((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
19.0ms	y	@	-inf	((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))

simplify201.0ms (2%)

Memory

13.9MiB live, 199.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 420×	`lower-fma.f64`
13 420×	`lower-fma.f32`
2 490×	`lower-*.f64`
2 490×	`lower-*.f32`
2 412×	`lower-+.f64`

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)

rewrite179.0ms (1.8%)

Memory

-18.0MiB live, 213.4MiB allocated

Rules

5 984×	`lower-fma.f64`
5 984×	`lower-fma.f32`
4 206×	`lower-*.f32`
4 204×	`lower-*.f64`
3 642×	`lower-/.f32`

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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eval62.0ms (0.6%)

Memory: 3.4MiB live, 88.4MiB allocated
Compiler: Compiled 12 069 to 1 177 computations (90.2% saved)

prune19.0ms (0.2%)

Memory

9.3MiB live, 48.3MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	399	18	417
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	400	18	418

Accuracy

100.0%

Counts

418 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.9%	(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))))
	42.3%	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
	74.2%	(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
▶	42.8%	(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z))
	74.0%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)))
	51.0%	(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)
	50.9%	(-.f64 (+.f64 (.f64 (log.f64 x) x) (.f64 (neg.f64 (log.f64 y)) x)) z)
	73.6%	(-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))) (log.f64 (/.f64 y x)))) z)
	48.6%	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
▶	75.2%	(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
	73.8%	(-.f64 (*.f64 x (log.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) z)
	42.7%	(.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)))
	72.4%	(.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))))
▶	48.6%	#s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)))
	23.7%	#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
	36.9%	#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
▶	51.0%	#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
▶	49.9%	#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))

Compiler

Compiled 522 to 378 computations (27.6% saved)

simplify176.0ms (1.7%)

Memory

-18.5MiB live, 139.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)))
cost-diff	14976	(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z))
cost-diff	0	(log.f64 (neg.f64 x))
cost-diff	0	(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))
cost-diff	0	#s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)))
cost-diff	576	(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(-.f64 (log.f64 y) (log.f64 x))
cost-diff	0	(fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)
cost-diff	0	(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
cost-diff	0	#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x 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)

Rules

9 504×	`lower-fma.f32`
9 496×	`lower-fma.f64`
3 006×	`lower-*.f32`
3 002×	`lower-*.f64`
1 312×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	217
0	63	217
1	95	217
2	172	217
3	375	217
4	802	217
5	1398	207
6	2602	205
7	3640	205
8	5504	205
9	6857	205
10	7720	202
0	8002	201

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

localize116.0ms (1.1%)

Memory

32.0MiB live, 185.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 x y)
accuracy	0	(*.f64 (log.f64 (/.f64 x y)) x)
accuracy	0	(neg.f64 z)
accuracy	0	(log.f64 (/.f64 x y))
accuracy	0	(neg.f64 x)
accuracy	0	(log.f64 (/.f64 #s(literal -1 binary64) y))
accuracy	0	(log.f64 (neg.f64 x))
accuracy	0	#s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)))
accuracy	0	(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
accuracy	0	(log.f64 y)
accuracy	0	(log.f64 x)
accuracy	0	#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
accuracy	0	(neg.f64 z)
accuracy	0	#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	(*.f64 x (neg.f64 (log.f64 (/.f64 y x))))
accuracy	0	(neg.f64 (log.f64 (/.f64 y x)))
accuracy	0	(log.f64 (/.f64 y x))

Samples

86.0ms

256×

invalid

Compiler

Compiled 200 to 36 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-log: 20.0ms (30.1% of total)

ival-div: 17.0ms (25.6% of total)

ival-mult: 15.0ms (22.6% of total)

ival-add: 5.0ms (7.5% of total)

ival-neg: 4.0ms (6% of total)

ival-sub: 3.0ms (4.5% of total)

ival-pow2: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series892.0ms (8.8%)

Memory

9.6MiB live, 722.7MiB allocated

Counts

24 → 612

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 #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) (patch (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) (patch (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 y) (log.f64 x)) (patch (-.f64 (log.f64 y) (log.f64 x)) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (patch (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) (patch #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) (patch (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) #<representation binary64>) () ())
#s(alt (log.f64 (neg.f64 x)) (patch (log.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 #s(literal -1 binary64) y)) (patch (log.f64 (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 (/.f64 x y)) x) (patch (.f64 (log.f64 (/.f64 x y)) x) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<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 (/ x y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x 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 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x 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 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x 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 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (log y) (log x)))) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) (patch (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 z) (* x (- (log y) (log x)))) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) (patch (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 z) (* x (- (log y) (log x)))) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) (patch (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 z) (* x (- (log y) (log x)))) (taylor 0 z) (#s(alt (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) (patch (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (log y) (log x))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) (patch (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (- (log y) (log x)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) (patch (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (- (log y) (log x)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) (patch (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) #<representation binary64>) () ())) ())
#s(alt (+ z (* x (- (log y) (log x)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) (patch (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) #<representation binary64>) () ())) ())
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) (patch #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (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) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) (patch #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (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) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) (patch #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (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) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) (patch #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (neg x)) (log (/ -1 y)))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) (patch (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (+ (log (neg x)) (log (/ -1 y))))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) (patch (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (+ (log (neg x)) (log (/ -1 y))))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) (patch (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (+ (log (neg x)) (log (/ -1 y))))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) (patch (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (log (/ x y)) 2)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf 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 (* z (- (* -1 (/ (* x (log (/ y x))) z)) 1)) (taylor inf 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 (* z (- (* -1 (/ (* x (log (/ y x))) z)) 1)) (taylor inf 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 (* z (- (* -1 (/ (* x (log (/ y x))) z)) 1)) (taylor inf 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) (taylor inf 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 (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf 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>) () ())) ())
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#s(alt (* x (- (log y) (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) (patch (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- (log y) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) (patch (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- (log y) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) (patch (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- (log y) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) (patch (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z) #<representation binary64>) () ())) ())
#s(alt (- (log y) (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (-.f64 (log.f64 y) (log.f64 x)) (patch (-.f64 (log.f64 y) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (log y) (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (-.f64 (log.f64 y) (log.f64 x)) (patch (-.f64 (log.f64 y) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (log y) (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (-.f64 (log.f64 y) (log.f64 x)) (patch (-.f64 (log.f64 y) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (log y) (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (-.f64 (log.f64 y) (log.f64 x)) (patch (-.f64 (log.f64 y) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (patch (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (patch (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (patch (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (patch (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) (patch #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) (patch #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) (patch #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) (patch #s(approx (- (* x (log (/ x y))) z) (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) (patch (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) (patch (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) (patch (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) (patch (fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 x)) (patch (log.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 x)) (patch (log.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 x)) (patch (log.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 x)) (patch (log.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (pow z 2) (pow x 2))) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.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 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<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 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (.f64 (log.f64 (/.f64 x y)) x) (patch (.f64 (log.f64 (/.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (.f64 (log.f64 (/.f64 x y)) x) (patch (.f64 (log.f64 (/.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (.f64 (log.f64 (/.f64 x y)) x) (patch (.f64 (log.f64 (/.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (.f64 (log.f64 (/.f64 x y)) x) (patch (.f64 (log.f64 (/.f64 x y)) x) #<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
227.0ms	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 (/ x y))) z) (neg (+ (* (- (log y) (log x)) x) z)) (+ (* (- (log y) (log x)) x) z) (- (log y) (log x)) (+ (log (neg x)) (log (/ -1 y))) (- (* x (log (/ x y))) z) (+ (* (+ (log (neg x)) (log (/ -1 y))) x) (neg z)) (log (neg x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (log x) (log y) (log (/ -1 y)) (neg x) (log (/ x y)) (* (log (/ x y)) x) (/ x y))
187.0ms	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 (/ x y))) z) (neg (+ (* (- (log y) (log x)) x) z)) (+ (* (- (log y) (log x)) x) z) (- (log y) (log x)) (+ (log (neg x)) (log (/ -1 y))) (- (* x (log (/ x y))) z) (+ (* (+ (log (neg x)) (log (/ -1 y))) x) (neg z)) (log (neg x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (log x) (log y) (log (/ -1 y)) (neg x) (log (/ x y)) (* (log (/ x y)) x) (/ x y))
160.0ms	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 (/ x y))) z) (neg (+ (* (- (log y) (log x)) x) z)) (+ (* (- (log y) (log x)) x) z) (- (log y) (log x)) (+ (log (neg x)) (log (/ -1 y))) (- (* x (log (/ x y))) z) (+ (* (+ (log (neg x)) (log (/ -1 y))) x) (neg z)) (log (neg x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (log x) (log y) (log (/ -1 y)) (neg x) (log (/ x y)) (* (log (/ x y)) x) (/ x y))
105.0ms	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 (/ x y))) z) (neg (+ (* (- (log y) (log x)) x) z)) (+ (* (- (log y) (log x)) x) z) (- (log y) (log x)) (+ (log (neg x)) (log (/ -1 y))) (- (* x (log (/ x y))) z) (+ (* (+ (log (neg x)) (log (/ -1 y))) x) (neg z)) (log (neg x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (log x) (log y) (log (/ -1 y)) (neg x) (log (/ x y)) (* (log (/ x y)) x) (/ x y))
90.0ms	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 (/ x y))) z) (neg (+ (* (- (log y) (log x)) x) z)) (+ (* (- (log y) (log x)) x) z) (- (log y) (log x)) (+ (log (neg x)) (log (/ -1 y))) (- (* x (log (/ x y))) z) (+ (* (+ (log (neg x)) (log (/ -1 y))) x) (neg z)) (log (neg x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (log x) (log y) (log (/ -1 y)) (neg x) (log (/ x y)) (* (log (/ x y)) x) (/ x y))

simplify247.0ms (2.4%)

Memory

-25.0MiB live, 287.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 040×	`lower-fma.f64`
9 040×	`lower-fma.f32`
3 978×	`lower-*.f64`
3 978×	`lower-*.f32`
2 228×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	5720
1	668	5363
2	1873	5309
3	5202	5275
0	8445	5215

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 609

Calls

Call 1

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

rewrite219.0ms (2.2%)

Memory

27.7MiB live, 370.6MiB allocated

Rules

5 168×	`lower-fma.f32`
5 160×	`lower-fma.f64`
3 468×	`lower-/.f32`
3 460×	`lower-/.f64`
3 246×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	185
0	63	155
1	234	155
2	1472	145
0	8895	145

Stop Event

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

Counts

24 → 2 023

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

Outputs
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eval516.0ms (5.1%)

Memory: 36.6MiB live, 701.7MiB allocated
Compiler: Compiled 83 811 to 4 938 computations (94.1% saved)

prune97.0ms (1%)

Memory

-36.3MiB live, 246.0MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	2 871	17	2 888
Fresh	7	6	13
Picked	3	2	5
Done	0	0	0
Total	2 881	25	2 906

Accuracy

100.0%

Counts

2 906 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.9%	(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))))
	74.2%	(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
	22.3%	(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z))
	48.6%	(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) x (*.f64 (log.f64 (neg.f64 x)) x)) z)
	48.6%	(-.f64 (fma.f64 (log.f64 (neg.f64 x)) x (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) x)) z)
	51.0%	(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)
	42.5%	(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) x) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))) z)
▶	75.2%	(-.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))) z)
	74.1%	(-.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) z)
	50.9%	(-.f64 (+.f64 (.f64 (log.f64 x) x) (.f64 (neg.f64 (log.f64 y)) x)) z)
	72.4%	(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64))))) z)
▶	48.6%	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
▶	73.8%	(-.f64 (*.f64 x (log.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) z)
	27.0%	#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (fma.f64 (neg.f64 z) z (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) #s(literal 2 binary64)) (.f64 x x))) (fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x z)))
	23.7%	#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
	36.9%	#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
▶	37.5%	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (neg.f64 x) (log.f64 (/.f64 y x))))
	48.6%	#s(approx (- (* x (log (/ x y))) z) (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (neg.f64 z)))
▶	27.8%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
	27.7%	#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))))
	1.8%	#s(approx (- (* x (log (/ x y))) z) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (neg.f64 z)))
	27.7%	#s(approx (- (* x (log (/ x y))) z) (.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))
	45.5%	#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (.f64 x y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x y))))) x z)))
✓	51.0%	#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
✓	49.9%	#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))

Compiler

Compiled 677 to 526 computations (22.3% saved)

simplify113.0ms (1.1%)

Memory

6.7MiB live, 117.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff	0	(*.f64 x (log.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
cost-diff	0	(-.f64 (*.f64 x (log.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) z)
cost-diff	12928	(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
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	(log.f64 (/.f64 y x))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (neg.f64 x) (log.f64 (/.f64 y x))))
cost-diff	128	(*.f64 (neg.f64 x) (log.f64 (/.f64 y x)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) z)
cost-diff	0	#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
cost-diff	1024	(/.f64 (*.f64 (neg.f64 z) z) z)
cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(-.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))) z)
cost-diff	1216	(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x))))

Rules

4 382×	`lower-*.f32`
4 374×	`lower-*.f64`
1 940×	`lower-fma.f64`
1 940×	`lower-fma.f32`
1 890×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	192
0	59	196
1	95	176
2	166	170
3	316	169
4	544	159
5	1035	159
6	2114	159
7	3525	159
8	5267	159
9	6858	159
0	8046	159

Stop Event

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

Calls

Call 1

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

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

localize211.0ms (2.1%)

Memory

0.0MiB live, 266.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09375	(*.f64 x (log.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
accuracy	0.14453125	(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	9.061544532794144	(pow.f64 (/.f64 y x) #s(literal -1/2 binary64))
accuracy	9.447106076550098	(log.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy	0	(log.f64 (neg.f64 x))
accuracy	0.00390625	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
accuracy	0.09375	(*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))
accuracy	0.23260136178468915	(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
accuracy	0	(neg.f64 x)
accuracy	0.09375	(*.f64 (neg.f64 x) (log.f64 (/.f64 y x)))
accuracy	9.226845253367056	(log.f64 (/.f64 y x))
accuracy	14.15528978204148	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (neg.f64 x) (log.f64 (/.f64 y x))))
accuracy	0	(*.f64 (neg.f64 z) z)
accuracy	0	(neg.f64 z)
accuracy	13.57609167349862	(/.f64 (*.f64 (neg.f64 z) z) z)
accuracy	16.777676707415626	#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
accuracy	0.00390625	(-.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))) z)
accuracy	0.0859375	(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x))))
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))
accuracy	9.226845253367056	(log.f64 (/.f64 y x))

Samples

93.0ms	131×	0	invalid
55.0ms	125×	0	valid

Compiler

Compiled 179 to 36 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 44.0ms (43% of total)

ival-log: 20.0ms (19.6% of total)

ival-pow: 16.0ms (15.6% of total)

ival-div: 9.0ms (8.8% of total)

ival-sub: 6.0ms (5.9% of total)

ival-neg: 4.0ms (3.9% of total)

ival-pow2: 3.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series429.0ms (4.3%)

Memory

-6.6MiB live, 585.1MiB allocated

Counts

20 → 480

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
87.0ms	y	@	inf	((/ (neg x) (/ 1 (log (/ y x)))) (- (/ (neg x) (/ 1 (log (/ y x)))) z) (neg x) (/ 1 (log (/ y x))) (/ (* (neg z) z) z) (- (* x (log (/ x y))) z) (* (neg z) z) (neg z) (* (neg x) (log (/ y x))) (- (* x (neg (log (/ y x)))) z) (log (/ y x)) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (pow (pow (/ y x) -1/2) 2) (- (* x (log (pow (pow (/ y x) -1/2) 2))) z) (* x (log (pow (pow (/ y x) -1/2) 2))) (log (pow (pow (/ y x) -1/2) 2)) (pow (/ y x) -1/2))
79.0ms	x	@	-inf	((/ (neg x) (/ 1 (log (/ y x)))) (- (/ (neg x) (/ 1 (log (/ y x)))) z) (neg x) (/ 1 (log (/ y x))) (/ (* (neg z) z) z) (- (* x (log (/ x y))) z) (* (neg z) z) (neg z) (* (neg x) (log (/ y x))) (- (* x (neg (log (/ y x)))) z) (log (/ y x)) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (pow (pow (/ y x) -1/2) 2) (- (* x (log (pow (pow (/ y x) -1/2) 2))) z) (* x (log (pow (pow (/ y x) -1/2) 2))) (log (pow (pow (/ y x) -1/2) 2)) (pow (/ y x) -1/2))
59.0ms	x	@	inf	((/ (neg x) (/ 1 (log (/ y x)))) (- (/ (neg x) (/ 1 (log (/ y x)))) z) (neg x) (/ 1 (log (/ y x))) (/ (* (neg z) z) z) (- (* x (log (/ x y))) z) (* (neg z) z) (neg z) (* (neg x) (log (/ y x))) (- (* x (neg (log (/ y x)))) z) (log (/ y x)) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (pow (pow (/ y x) -1/2) 2) (- (* x (log (pow (pow (/ y x) -1/2) 2))) z) (* x (log (pow (pow (/ y x) -1/2) 2))) (log (pow (pow (/ y x) -1/2) 2)) (pow (/ y x) -1/2))
57.0ms	y	@	-inf	((/ (neg x) (/ 1 (log (/ y x)))) (- (/ (neg x) (/ 1 (log (/ y x)))) z) (neg x) (/ 1 (log (/ y x))) (/ (* (neg z) z) z) (- (* x (log (/ x y))) z) (* (neg z) z) (neg z) (* (neg x) (log (/ y x))) (- (* x (neg (log (/ y x)))) z) (log (/ y x)) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (pow (pow (/ y x) -1/2) 2) (- (* x (log (pow (pow (/ y x) -1/2) 2))) z) (* x (log (pow (pow (/ y x) -1/2) 2))) (log (pow (pow (/ y x) -1/2) 2)) (pow (/ y x) -1/2))
56.0ms	x	@	0	((/ (neg x) (/ 1 (log (/ y x)))) (- (/ (neg x) (/ 1 (log (/ y x)))) z) (neg x) (/ 1 (log (/ y x))) (/ (* (neg z) z) z) (- (* x (log (/ x y))) z) (* (neg z) z) (neg z) (* (neg x) (log (/ y x))) (- (* x (neg (log (/ y x)))) z) (log (/ y x)) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (pow (pow (/ y x) -1/2) 2) (- (* x (log (pow (pow (/ y x) -1/2) 2))) z) (* x (log (pow (pow (/ y x) -1/2) 2))) (log (pow (pow (/ y x) -1/2) 2)) (pow (/ y x) -1/2))

simplify195.0ms (1.9%)

Memory

59.1MiB live, 272.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 074×	`lower-fma.f64`
17 074×	`lower-fma.f32`
4 178×	`lower-*.f64`
4 178×	`lower-*.f32`
2 824×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	4044
1	492	3651
2	1403	3623
3	3513	3605
0	8274	3578

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

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

rewrite276.0ms (2.7%)

Memory

-8.5MiB live, 429.6MiB allocated

Rules

6 698×	`lower-fma.f64`
6 698×	`lower-fma.f32`
5 212×	`lower-*.f32`
5 206×	`lower-*.f64`
3 078×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	155
0	59	148
1	216	119
2	1225	113
0	8557	113

Stop Event

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

Counts

20 → 1 890

Calls

Call 1

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

Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval499.0ms (4.9%)

Memory: 0.5MiB live, 608.5MiB allocated
Compiler: Compiled 48 784 to 3 925 computations (92% saved)

prune181.0ms (1.8%)

Memory

-17.4MiB live, 218.7MiB allocated

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	2 579	17	2 596
Fresh	11	7	18
Picked	1	4	5
Done	0	2	2
Total	2 591	30	2 621

Accuracy

100.0%

Counts

2 621 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.2%	(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
	50.3%	(/.f64 (fma.f64 (.f64 z x) (log.f64 (/.f64 x y)) (.f64 (neg.f64 z) z)) z)
✓	75.2%	(-.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 y x)))) z)
	74.1%	(-.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) z)
✓	48.6%	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
	27.0%	#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (fma.f64 (neg.f64 z) z (.f64 (pow.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) #s(literal 2 binary64)) (.f64 x x))) (fma.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 x))) x z)))
	23.7%	#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
	36.9%	#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
	26.5%	#s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
	48.6%	#s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 x))) x z)))
	23.7%	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (neg.f64 (log.f64 y)) x (*.f64 (log.f64 x) x)))
	23.8%	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)))
▶	26.5%	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 x (log.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (log.f64 (neg.f64 y)))))
	20.4%	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) x) (fma.f64 (log.f64 (neg.f64 y)) (log.f64 (.f64 x y)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))))
	23.9%	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (.f64 x x) (log.f64 (/.f64 x y))) x))
	37.5%	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)))
▶	23.9%	#s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (neg.f64 x) x))) (log.f64 (/.f64 y x))))
	18.7%	#s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 (*.f64 x y)) #s(literal -1 binary64)) x)))
✓	37.5%	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (neg.f64 x) (log.f64 (/.f64 y x))))
	13.8%	#s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 (log.f64 (/.f64 y x))) #s(literal 1 binary64)))))
▶	27.5%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z))
	27.7%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z))
✓	27.8%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
	27.7%	#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))))
	49.8%	#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
	1.8%	#s(approx (- (* x (log (/ x y))) z) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (neg.f64 z)))
▶	27.7%	#s(approx (- (* x (log (/ x y))) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
	49.8%	#s(approx (- (* x (log (/ x y))) z) (.f64 (neg.f64 z) (.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))))
✓	51.0%	#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
✓	49.9%	#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))

Compiler

Compiled 630 to 545 computations (13.5% saved)

simplify160.0ms (1.6%)

Memory

-19.5MiB live, 117.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(log.f64 (neg.f64 x))
cost-diff	0	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 x (log.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (log.f64 (neg.f64 y)))))
cost-diff	320	(fma.f64 x (log.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (log.f64 (neg.f64 y))))
cost-diff	0	#s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (neg.f64 x) x))) (log.f64 (/.f64 y x))))
cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (neg.f64 x) x))) (log.f64 (/.f64 y x)))
cost-diff	448	(/.f64 x (*.f64 (neg.f64 x) x))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z))
cost-diff	1024	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z)
cost-diff	1664	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	#s(approx (- (* x (log (/ x y))) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
cost-diff	1216	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z 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))

Rules

4 316×	`lower-*.f32`
4 306×	`lower-*.f64`
2 944×	`lower-fma.f32`
2 940×	`lower-fma.f64`
1 958×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	40	212
0	64	208
1	105	201
2	189	168
3	436	160
4	919	160
5	2703	156
6	4875	156
7	6652	156
0	8029	156

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

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

localize149.0ms (1.5%)

Memory

26.3MiB live, 179.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 (neg.f64 x))
accuracy	0.12109375	(*.f64 (neg.f64 x) (log.f64 (neg.f64 y)))
accuracy	0.22862510433157482	(fma.f64 x (log.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (log.f64 (neg.f64 y))))
accuracy	14.15528978204148	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 x (log.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (log.f64 (neg.f64 y)))))
accuracy	0.09375	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (neg.f64 x) x))) (log.f64 (/.f64 y x)))
accuracy	9.226845253367056	(log.f64 (/.f64 y x))
accuracy	13.996541927704977	(/.f64 x (*.f64 (neg.f64 x) x))
accuracy	14.15528978204148	#s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (neg.f64 x) x))) (log.f64 (/.f64 y x))))
accuracy	0.16934462278270235	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
accuracy	0.2193061954229149	(/.f64 #s(literal -1 binary64) (*.f64 z z))
accuracy	13.57609167349862	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z)
accuracy	16.777676707415626	#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(*.f64 z z)
accuracy	13.61906042349862	(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z))
accuracy	16.777676707415626	#s(approx (- (* x (log (/ x y))) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
accuracy	0	(/.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	0.06640625	(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
accuracy	9.447106076550098	(log.f64 (/.f64 x y))

Samples

77.0ms	131×	0	invalid
32.0ms	125×	0	valid

Compiler

Compiled 172 to 36 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 26.0ms (43.6% of total)

ival-mult: 14.0ms (23.5% of total)

ival-log: 10.0ms (16.8% of total)

ival-neg: 4.0ms (6.7% of total)

ival-add: 2.0ms (3.4% of total)

ival-sub: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series330.0ms (3.3%)

Memory

-19.1MiB live, 613.7MiB allocated

Counts

22 → 456

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

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

Calls

9 calls:

Time	Variable		Point	Expression
95.0ms	y	@	0	((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (* (/ -1 z) (* z z)) (- (* x (log (/ x y))) z) (/ -1 z) (* z z) (/ 1 (/ -1 (* z z))) (/ (/ 1 (/ -1 (* z z))) z) (- (* x (log (/ x y))) z) (/ 1 (/ x (* (neg x) x))) (/ x (* (neg x) x)) (* (/ 1 (/ x (* (neg x) x))) (log (/ y x))) (- (* x (neg (log (/ y x)))) z) (+ (* x (log (neg x))) (* (neg x) (log (neg y)))) (- (* x (neg (log (/ y x)))) z) (log (neg x)) (neg x) (/ -1 (* z z)) (log (/ y x)) (* (neg x) (log (neg y))))
52.0ms	x	@	0	((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (* (/ -1 z) (* z z)) (- (* x (log (/ x y))) z) (/ -1 z) (* z z) (/ 1 (/ -1 (* z z))) (/ (/ 1 (/ -1 (* z z))) z) (- (* x (log (/ x y))) z) (/ 1 (/ x (* (neg x) x))) (/ x (* (neg x) x)) (* (/ 1 (/ x (* (neg x) x))) (log (/ y x))) (- (* x (neg (log (/ y x)))) z) (+ (* x (log (neg x))) (* (neg x) (log (neg y)))) (- (* x (neg (log (/ y x)))) z) (log (neg x)) (neg x) (/ -1 (* z z)) (log (/ y x)) (* (neg x) (log (neg y))))
43.0ms	x	@	inf	((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (* (/ -1 z) (* z z)) (- (* x (log (/ x y))) z) (/ -1 z) (* z z) (/ 1 (/ -1 (* z z))) (/ (/ 1 (/ -1 (* z z))) z) (- (* x (log (/ x y))) z) (/ 1 (/ x (* (neg x) x))) (/ x (* (neg x) x)) (* (/ 1 (/ x (* (neg x) x))) (log (/ y x))) (- (* x (neg (log (/ y x)))) z) (+ (* x (log (neg x))) (* (neg x) (log (neg y)))) (- (* x (neg (log (/ y x)))) z) (log (neg x)) (neg x) (/ -1 (* z z)) (log (/ y x)) (* (neg x) (log (neg y))))
38.0ms	x	@	-inf	((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (* (/ -1 z) (* z z)) (- (* x (log (/ x y))) z) (/ -1 z) (* z z) (/ 1 (/ -1 (* z z))) (/ (/ 1 (/ -1 (* z z))) z) (- (* x (log (/ x y))) z) (/ 1 (/ x (* (neg x) x))) (/ x (* (neg x) x)) (* (/ 1 (/ x (* (neg x) x))) (log (/ y x))) (- (* x (neg (log (/ y x)))) z) (+ (* x (log (neg x))) (* (neg x) (log (neg y)))) (- (* x (neg (log (/ y x)))) z) (log (neg x)) (neg x) (/ -1 (* z z)) (log (/ y x)) (* (neg x) (log (neg y))))
38.0ms	y	@	-inf	((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (* (/ -1 z) (* z z)) (- (* x (log (/ x y))) z) (/ -1 z) (* z z) (/ 1 (/ -1 (* z z))) (/ (/ 1 (/ -1 (* z z))) z) (- (* x (log (/ x y))) z) (/ 1 (/ x (* (neg x) x))) (/ x (* (neg x) x)) (* (/ 1 (/ x (* (neg x) x))) (log (/ y x))) (- (* x (neg (log (/ y x)))) z) (+ (* x (log (neg x))) (* (neg x) (log (neg y)))) (- (* x (neg (log (/ y x)))) z) (log (neg x)) (neg x) (/ -1 (* z z)) (log (/ y x)) (* (neg x) (log (neg y))))

simplify131.0ms (1.3%)

Memory

44.6MiB live, 222.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 430×	`lower-fma.f64`
5 430×	`lower-fma.f32`
2 404×	`lower-*.f64`
2 404×	`lower-*.f32`
1 382×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	3229
1	397	3009
2	1047	2982
3	2364	2970
4	4484	2959
5	6776	2915
0	8034	2897

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

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

rewrite69.0ms (0.7%)

Memory

-3.0MiB live, 124.3MiB allocated

Rules

602×	`lower-*.f32`
592×	`lower-*.f64`
538×	`lower-fma.f32`
534×	`lower-fma.f64`
456×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	182
0	64	174
1	211	160
0	1099	160

Stop Event

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

Counts

22 → 292

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

Outputs
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eval131.0ms (1.3%)

Memory: -48.7MiB live, 209.6MiB allocated
Compiler: Compiled 9 574 to 1 094 computations (88.6% saved)

prune50.0ms (0.5%)

Memory

23.6MiB live, 136.9MiB allocated

Pruning

32 alts after pruning (23 fresh and 9 done)

	Pruned	Kept	Total
New	805	6	811
Fresh	2	17	19
Picked	1	4	5
Done	1	5	6
Total	809	32	841

Accuracy

100.0%

Counts

841 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.6%	(fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (neg.f64 z))
✓	74.2%	(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
	50.3%	(/.f64 (fma.f64 (.f64 z x) (log.f64 (/.f64 x y)) (.f64 (neg.f64 z) z)) z)
	74.1%	(-.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) z)
✓	48.6%	(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
	23.7%	#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
	36.9%	#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
	26.5%	#s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
	23.7%	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (neg.f64 (log.f64 y)) x (*.f64 (log.f64 x) x)))
	23.8%	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)))
	10.5%	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 x (log.f64 (neg.f64 x)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (log.f64 (neg.f64 y)))))
✓	26.5%	#s(approx (- (* x (neg (log (/ y x)))) z) (fma.f64 x (log.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (log.f64 (neg.f64 y)))))
	20.4%	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) x) (fma.f64 (log.f64 (neg.f64 y)) (log.f64 (.f64 x y)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))))
	23.9%	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (.f64 (.f64 x x) (log.f64 (/.f64 x y))) x))
	37.5%	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)))
	23.9%	#s(approx (- (* x (neg (log (/ y x)))) z) (/.f64 (log.f64 (/.f64 x y)) (/.f64 x (*.f64 x x))))
	23.9%	#s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (/.f64 (log.f64 (/.f64 y x)) (neg.f64 x)) (.f64 x x)))
	18.7%	#s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 (*.f64 x y)) #s(literal -1 binary64)) x)))
✓	37.5%	#s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (neg.f64 x) (log.f64 (/.f64 y x))))
	13.8%	#s(approx (- (* x (neg (log (/ y x)))) z) (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 (log.f64 (/.f64 y x))) #s(literal 1 binary64)))))
	27.4%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) z)) z))
	27.5%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) z)))) z))
✓	27.5%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) z))
	27.7%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z))
✓	27.8%	#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
	27.7%	#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))))
	49.8%	#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
	1.8%	#s(approx (- (* x (log (/ x y))) z) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (neg.f64 z)))
✓	27.7%	#s(approx (- (* x (log (/ x y))) z) (.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
	49.8%	#s(approx (- (* x (log (/ x y))) z) (.f64 (neg.f64 z) (.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z))))
✓	51.0%	#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
✓	49.9%	#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))

Compiler

Compiled 1 156 to 543 computations (53% saved)

regimes90.0ms (0.9%)

Memory

0.7MiB live, 164.0MiB allocated

Counts

59 → 2

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	(*.f64 x (log.f64 (/.f64 x y)))
18.0ms	x
17.0ms	z
17.0ms	y
16.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Results

Accuracy	Segments	Branch
99.6%	2	`x`
99.6%	2	`y`
79.5%	3	`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)

regimes58.0ms (0.6%)

Memory

-6.2MiB live, 37.2MiB allocated

Counts

40 → 2

Calls

Call 1

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

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

Calls

2 calls:

44.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
99.6%	2	`x`
99.6%	2	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes40.0ms (0.4%)

Memory

-3.9MiB live, 34.6MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

27.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
99.6%	2	`x`
99.6%	2	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes24.0ms (0.2%)

Memory

-8.7MiB live, 29.3MiB allocated

Counts

32 → 4

Calls

Call 1

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

13.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
92.9%	4	`x`
85.9%	2	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

29 → 3

Calls

Call 1

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

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

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
89.3%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes53.0ms (0.5%)

Memory

-2.8MiB live, 35.8MiB allocated

Counts

28 → 3

Calls

Call 1

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

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) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))

Calls

4 calls:

27.0ms	(*.f64 x (log.f64 (/.f64 x y)))
8.0ms	x
8.0ms	y
8.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

Results

Accuracy	Segments	Branch
75.2%	1	`y`
85.4%	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
85.4%	3	`(*.f64 x (log.f64 (/.f64 x y)))`
85.4%	4	`x`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes16.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

26 → 3

Calls

Call 1

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

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

2 calls:

8.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
7.0ms	(*.f64 x (log.f64 (/.f64 x y)))

Results

Accuracy	Segments	Branch
85.0%	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
85.0%	3	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes45.0ms (0.4%)

Memory

-42.2MiB live, 12.9MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
85.0%	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
85.0%	3	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes25.0ms (0.3%)

Memory

33.6MiB live, 33.6MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
54.4%	3	`y`
64.3%	3	`z`
66.6%	3	`x`
54.2%	3	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
69.4%	5	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes13.0ms (0.1%)

Memory

-15.7MiB live, 21.8MiB allocated

Counts

14 → 5

Calls

Call 1

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

8.0ms	x
4.0ms	(*.f64 x (log.f64 (/.f64 x y)))

Results

Accuracy	Segments	Branch
69.4%	5	`(*.f64 x (log.f64 (/.f64 x y)))`
66.0%	3	`x`

Compiler

Compiled 7 to 9 computations (-28.6% saved)

regimes24.0ms (0.2%)

Memory

-5.8MiB live, 31.8MiB allocated

Accuracy

Total -31.4b remaining (-98%)

Threshold costs -31.4b (-98%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
49.9%	1	`(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)`
49.9%	1	`y`
49.9%	1	`z`
49.9%	1	`x`
49.9%	1	`(*.f64 x (log.f64 (/.f64 x y)))`

Compiler

Compiled 17 to 22 computations (-29.4% saved)

bsearch40.0ms (0.4%)

Memory

5.9MiB live, 42.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	-8.0054659946817e-302	2.816429011250668e-306

Samples

21.0ms	144×	0	valid
8.0ms	147×	0	invalid

Compiler

Compiled 227 to 211 computations (7% saved)

Precisions

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

ival-div: 15.0ms (70.8% of total)

ival-log: 3.0ms (14.2% of total)

ival-mult: 2.0ms (9.4% of total)

ival-sub: 1.0ms (4.7% of total)

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

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

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-8.0054659946817e-302	2.816429011250668e-306

Compiler

Compiled 218 to 211 computations (3.2% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-8.0054659946817e-302	2.816429011250668e-306

Compiler

Compiled 209 to 211 computations (-1% saved)

bsearch70.0ms (0.7%)

Memory

6.4MiB live, 52.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
7.0ms	-1.0418112601670085e-303	4.5933649512330884e-299
46.0ms	-1.106486724759431e-214	-1.7030280967914175e-224
12.0ms	-1.8191967157047811e+170	-7.172544173422088e+169

Samples

16.0ms	288×	0	valid
13.0ms	246×	0	invalid

Compiler

Compiled 265 to 311 computations (-17.4% saved)

Precisions

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

ival-log: 5.0ms (31.7% of total)

ival-div: 4.0ms (25.4% of total)

ival-mult: 3.0ms (19% of total)

ival-sub: 2.0ms (12.7% of total)

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

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

bsearch2.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-1.0418112601670085e-303	4.5933649512330884e-299
1.0ms	-1.106486724759431e-214	-1.7030280967914175e-224

Compiler

Compiled 170 to 211 computations (-24.1% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.923172598825667e+289	+inf
0.0ms	-inf	-2.1728787306613653e+306

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.923172598825667e+289	+inf
0.0ms	-inf	-2.1728787306613653e+306

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.923172598825667e+289	+inf
0.0ms	-inf	-2.1728787306613653e+306

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch94.0ms (0.9%)

Memory

-21.9MiB live, 53.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	5.077478490197438e-83	1.0754758369392825e-82
55.0ms	-9.533412927203669e+89	-3.015826858393717e+83

Samples

64.0ms	232×	0	invalid
13.0ms	224×	0	valid

Compiler

Compiled 156 to 214 computations (-37.2% saved)

Precisions

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

ival-div: 4.0ms (30% of total)

ival-log: 4.0ms (30% of total)

ival-mult: 3.0ms (22.5% of total)

ival-sub: 2.0ms (15% of total)

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

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.923172598825667e+289	+inf
0.0ms	3.8878604906441457e-81	4.790714529422991e-81
0.0ms	-5.027966601077551e+84	-3.166323346848448e+81
0.0ms	-inf	-2.1728787306613653e+306

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify54.0ms (0.5%)

Memory

19.8MiB live, 56.1MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`-commutative-binary64-.f64`
38×	`+-commutative-binary64-+.f64`
36×	`sub-neg-binary64-neg.f64-+.f64--.f64`
22×	`neg-sub0-binary64--.f64-neg.f64`
22×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	532
1	135	532
2	169	532
3	190	532
4	196	532
5	197	532

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (fma.f64 (log.f64 (neg.f64 x)) x (.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) x)) z) (-.f64 (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x)) z))
(if (<=.f64 y #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* x (log (/ x y))) z) (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (neg.f64 z))) (-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z))
(if (<=.f64 y #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* x (log (/ x y))) z) (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (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 -145000000000000002979591685358916092394581217200378814710600916039985385387281382394879180920347953091539764948428249073358077267780170530419786619483449974318231768268800 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 -5336780942283687/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808 binary64)) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 -5336780942283687/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808 binary64)) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 (.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 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 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 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 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 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 binary64)) (-.f64 (.f64 x (log.f64 (/.f64 x y))) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 x #s(literal -620000000000000036678016430180676428940450101584187946557174576726819966485808789061632 binary64)) #s(approx (- (* x (log (/ x y))) z) (.f64 (log.f64 (/.f64 x y)) x)) (if (<=.f64 x #s(literal 7245268025843727/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #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))))))
(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 -5000000000000000073153476153374365154850214939323275296393053935848981821255741079552 binary64)) #s(approx (- ( x (log (/ x y))) z) (.f64 (log.f64 (/.f64 x y)) x)) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) #s(literal 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 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))

Outputs
(if (<=.f64 y #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (fma.f64 (log.f64 (neg.f64 x)) x (.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) x)) z) (-.f64 (fma.f64 (log.f64 x) x (.f64 (neg.f64 (log.f64 y)) x)) z))
(if (<=.f64 y #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* x (log (/ x y))) z) (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (neg.f64 z))) (-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z))
(if (<=.f64 y #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* x (log (/ x y))) z) (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (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 -145000000000000002979591685358916092394581217200378814710600916039985385387281382394879180920347953091539764948428249073358077267780170530419786619483449974318231768268800 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 -5336780942283687/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808 binary64)) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 -145000000000000002979591685358916092394581217200378814710600916039985385387281382394879180920347953091539764948428249073358077267780170530419786619483449974318231768268800 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 -5336780942283687/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808 binary64)) (-.f64 (.f64 (log.f64 (/.f64 y x)) (neg.f64 x)) z) (if (<=.f64 x #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 -5336780942283687/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808 binary64)) (-.f64 (.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 -5336780942283687/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808 binary64)) (-.f64 (.f64 (log.f64 (/.f64 y x)) (neg.f64 x)) z) (if (<=.f64 x #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 (.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 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(approx (- ( x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))))
(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 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 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 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 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 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 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 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 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 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 binary64)) (-.f64 (.f64 (log.f64 (/.f64 x y)) x) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 x #s(literal -620000000000000036678016430180676428940450101584187946557174576726819966485808789061632 binary64)) #s(approx (- (* x (log (/ x y))) z) (.f64 (log.f64 (/.f64 x y)) x)) (if (<=.f64 x #s(literal 7245268025843727/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #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))))))
(if (<=.f64 x #s(literal -620000000000000036678016430180676428940450101584187946557174576726819966485808789061632 binary64)) #s(approx (- (* x (log (/ x y))) z) (.f64 (log.f64 (/.f64 x y)) x)) (if (<=.f64 x #s(literal 7245268025843727/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (- ( x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (neg (log (/ y x)))) z) (*.f64 (log.f64 (/.f64 y x)) (neg.f64 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 -5000000000000000073153476153374365154850214939323275296393053935848981821255741079552 binary64)) #s(approx (- ( x (log (/ x y))) z) (.f64 (log.f64 (/.f64 x y)) x)) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (.f64 x (log.f64 (/.f64 x y))) #s(literal 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 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))))))
(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 -5000000000000000073153476153374365154850214939323275296393053935848981821255741079552 binary64)) #s(approx (- ( x (log (/ x y))) z) (.f64 (log.f64 (/.f64 x y)) x)) (if (<=.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 1067993517960455/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (.f64 (log.f64 (/.f64 x y)) x) #s(literal 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 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))

soundness2.0s (19.8%)

Memory

11.5MiB live, 774.3MiB allocated

Rules

17 074×	`lower-fma.f64`
17 074×	`lower-fma.f32`
13 420×	`lower-fma.f64`
13 420×	`lower-fma.f32`
9 040×	`lower-fma.f64`

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
0	36	185
0	63	155
1	234	155
2	1472	145
0	8895	145
0	219	5720
1	668	5363
2	1873	5309
3	5202	5275
0	8445	5215
0	167	4044
1	492	3651
2	1403	3623
3	3513	3605
0	8274	3578
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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 600 to 304 computations (49.3% saved)

preprocess93.0ms (0.9%)

Memory: -7.1MiB live, 187.9MiB allocated
Compiler: Compiled 746 to 208 computations (72.1% 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%)

analyze71.0ms (0.7%)

sample1.2s (12.3%)

explain107.0ms (1.1%)

preprocess78.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify32.0ms (0.3%)

localize20.0ms (0.2%)

series144.0ms (1.4%)

simplify201.0ms (2%)

rewrite179.0ms (1.8%)

eval62.0ms (0.6%)

prune19.0ms (0.2%)

simplify176.0ms (1.7%)

localize116.0ms (1.1%)

series892.0ms (8.8%)

simplify247.0ms (2.4%)

rewrite219.0ms (2.2%)

eval516.0ms (5.1%)

prune97.0ms (1%)

simplify113.0ms (1.1%)

localize211.0ms (2.1%)

series429.0ms (4.3%)

simplify195.0ms (1.9%)

rewrite276.0ms (2.7%)

eval499.0ms (4.9%)

prune181.0ms (1.8%)

simplify160.0ms (1.6%)

localize149.0ms (1.5%)

series330.0ms (3.3%)

simplify131.0ms (1.3%)

rewrite69.0ms (0.7%)

eval131.0ms (1.3%)

prune50.0ms (0.5%)

regimes90.0ms (0.9%)

regimes58.0ms (0.6%)

regimes40.0ms (0.4%)

regimes24.0ms (0.2%)

regimes10.0ms (0.1%)

regimes53.0ms (0.5%)

regimes16.0ms (0.2%)

regimes45.0ms (0.4%)

regimes25.0ms (0.3%)

regimes13.0ms (0.1%)

regimes24.0ms (0.2%)

bsearch40.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch70.0ms (0.7%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch94.0ms (0.9%)

bsearch1.0ms (0%)

simplify54.0ms (0.5%)

soundness2.0s (19.8%)

preprocess93.0ms (0.9%)

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