Metrics for Statistics.Distribution.Beta:$cdensity from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze85.0ms (0.7%)

Memory

19.9MiB live, 178.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	49.9%	0.2%	0%	49.9%	0%	3
0%	0%	49.9%	0.2%	0%	49.9%	0%	4
0%	0%	49.9%	0.2%	0%	49.9%	0%	5
0%	0%	49.9%	0.2%	0%	49.9%	0%	6
0%	0%	25%	0.2%	0%	74.9%	0%	7
0%	0%	25%	0.2%	0%	74.9%	0%	8
0%	0%	25%	0.2%	0%	74.9%	0%	9
0%	0%	25%	0.2%	0%	74.9%	0%	10
50%	12.5%	12.5%	0.2%	0%	74.9%	0%	11
50%	12.5%	12.5%	0.2%	0%	74.9%	0%	12

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample2.8s (21.5%)

Memory

2.2MiB live, 2 411.3MiB allocated

Samples

1.3s	2 075×	1	valid
1.0s	6 181×	0	valid
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-log: 1.1s (51.9% of total)

ival-sub: 523.0ms (25.5% of total)

ival-mult: 323.0ms (15.8% of total)

adjust: 73.0ms (3.6% of total)

ival-add: 52.0ms (2.5% of total)

ival-true: 7.0ms (0.3% of total)

exact: 5.0ms (0.2% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain701.0ms (5.4%)

Memory

-0.2MiB live, 566.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(log.f64 (-.f64 #s(literal 1 binary64) y))`
0	-	-	`(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
0	-	-	`(-.f64 #s(literal 1 binary64) y)`
0	-	-	`(log.f64 y)`
0	-	-	`t`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))`
0	-	-	`(-.f64 z #s(literal 1 binary64))`
0	-	-	`(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))`
0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	-	-	`y`
0	-	-	`(*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (-.f64 #s(literal 1 binary64) y))`	sensitivity	256	0

Confusion

	Predicted +	Predicted -
+	28	0
-	228	0

Precision

0.109375

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	28	0	0
-	228	0	0

Precision?

0.109375

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

335.0ms	368×	1	valid
77.0ms	124×	2	valid
2.0ms	20×	0	valid

Compiler

Compiled 153 to 46 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 378.0ms

ival-log: 179.0ms (47.3% of total)

ival-sub: 156.0ms (41.2% of total)

adjust: 25.0ms (6.6% of total)

ival-mult: 13.0ms (3.4% of total)

ival-add: 5.0ms (1.3% of total)

ival-true: 1.0ms (0.3% of total)

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

exact: 0.0ms (0% of total)

preprocess184.0ms (1.4%)

Memory

-7.4MiB live, 191.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 252×	`lower-fma.f64`
4 252×	`lower-fma.f32`
1 420×	`sub-neg`
1 040×	`lower-+.f32`
1 038×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	252
1	159	248
2	467	241
3	1721	240
4	4245	240
5	7008	240
0	14	17
0	23	17
1	38	17
2	64	17
3	140	17
4	297	17
5	818	17
6	2350	17
7	3514	17
8	3887	17
9	3933	17
10	3933	17
11	4316	17
12	4413	17
13	4413	17
14	4415	17
0	4415	15

Stop Event

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

Calls

Call 1

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

Outputs

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

(fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t)))

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.4%	(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify141.0ms (1.1%)

Memory

27.3MiB live, 147.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))
cost-diff	0	(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
cost-diff	64	(log.f64 (-.f64 #s(literal 1 binary64) y))
cost-diff	128	(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))

Rules

4 252×	`lower-fma.f64`
4 252×	`lower-fma.f32`
1 040×	`lower-+.f32`
1 038×	`lower-+.f64`
1 034×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
0	23	66
1	38	66
2	64	66
3	140	66
4	297	66
5	818	66
6	2350	66
7	3514	66
8	3887	66
9	3933	66
10	3933	66
11	4316	66
12	4413	66
13	4413	66
14	4415	66
0	4415	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
(fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t)))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
(fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))
(*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(log.f64 y)
y
(*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)))
(-.f64 z #s(literal 1 binary64))
z
(log.f64 (-.f64 #s(literal 1 binary64) y))
(log1p.f64 (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
t

localize170.0ms (1.3%)

Memory

-16.2MiB live, 214.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
accuracy	0.0234375	(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
accuracy	0.14453125	(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))
accuracy	59.239031377519005	(log.f64 (-.f64 #s(literal 1 binary64) y))

Samples

111.0ms	184×	1	valid
33.0ms	62×	2	valid
4.0ms	10×	0	valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

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

ival-log: 64.0ms (62.5% of total)

ival-sub: 13.0ms (12.7% of total)

ival-mult: 12.0ms (11.7% of total)

adjust: 10.0ms (9.8% of total)

ival-add: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series147.0ms (1.1%)

Memory

33.8MiB live, 230.4MiB allocated

Counts

4 → 120

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
54.0ms	y	@	0	((+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (log (- 1 y)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (* (- x 1) (log y)))
28.0ms	z	@	-inf	((+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (log (- 1 y)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (* (- x 1) (log y)))
15.0ms	y	@	inf	((+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (log (- 1 y)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (* (- x 1) (log y)))
15.0ms	y	@	-inf	((+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (log (- 1 y)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (* (- x 1) (log y)))
10.0ms	t	@	0	((+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (log (- 1 y)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (* (- x 1) (log y)))

simplify183.0ms (1.4%)

Memory

1.4MiB live, 307.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 968×	`lower-fma.f64`
15 968×	`lower-fma.f32`
4 076×	`lower-+.f64`
4 076×	`lower-+.f32`
3 898×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	2093
1	637	1954
2	1931	1848
3	6875	1835
0	8578	1687

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

Outputs
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(* -1 t)
(neg.f64 t)
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(neg.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 y))) (/.f64 t t) t))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(neg.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 y))) (/.f64 t t) t))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(neg.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 y))) (/.f64 t t) t))
(* -1 t)
(neg.f64 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(neg.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 y))) (/.f64 t t) t))
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(neg.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 y))) (/.f64 t t) t))
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(neg.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 y))) (/.f64 t t) t))
(+ (* -1 (log (- 1 y))) (* (log y) (- x 1)))
(neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 y) (log1p.f64 (neg.f64 y))))
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))
(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (-.f64 (neg.f64 t) (log1p.f64 (neg.f64 y))))
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(* z (log (- 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))
(*.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 y) (log1p.f64 (neg.f64 y)))) z) (log1p.f64 (neg.f64 y))) z)
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))
(*.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 y) (log1p.f64 (neg.f64 y)))) z) (log1p.f64 (neg.f64 y))) z)
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))
(*.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 y) (log1p.f64 (neg.f64 y)))) z) (log1p.f64 (neg.f64 y))) z)
(* z (log (- 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (-.f64 (neg.f64 t) (log1p.f64 (neg.f64 y)))) z) (log1p.f64 (neg.f64 y))) z)
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (-.f64 (neg.f64 t) (log1p.f64 (neg.f64 y)))) z) (log1p.f64 (neg.f64 y))) z)
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (-.f64 (neg.f64 t) (log1p.f64 (neg.f64 y)))) z) (log1p.f64 (neg.f64 y))) z)
(* z (log (- 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) z)))))
(*.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (log.f64 y) (log1p.f64 (neg.f64 y)))) z) (log1p.f64 (neg.f64 y))) z)
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(*.f64 (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)) x)
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)) x)
(* x (log y))
(*.f64 x (log.f64 y))
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x))))
(*.f64 (-.f64 (log.f64 y) (/.f64 (log.f64 y) x)) x)
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x))))
(*.f64 (-.f64 (log.f64 y) (/.f64 (log.f64 y) x)) x)
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x))))
(*.f64 (-.f64 (log.f64 y) (/.f64 (log.f64 y) x)) x)

rewrite237.0ms (1.8%)

Memory

-28.6MiB live, 427.2MiB allocated

Rules

9 524×	`lower-fma.f64`
9 524×	`lower-fma.f32`
5 586×	`lower-*.f32`
5 582×	`lower-*.f64`
4 212×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
0	23	42
1	95	42
2	757	42
0	8471	37

Stop Event

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

Counts

4 → 425

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))))) (-.f64 (.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))))))
(.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (fma.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y))))))))
(.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))) (pow.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))) #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 6 binary64))) (pow.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (*.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (log.f64 y)) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 9 binary64)) (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (log.f64 y)) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y))))) (/.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))))) (.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y))))) (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y))))))) (+.f64 (/.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y))))) (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y))))) (/.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y))))) (fma.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y))))) (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y))))) (.f64 (/.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y))))) (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))))))))
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(fma.f64 (.f64 (log.f64 y) x) #s(literal 1 binary64) (.f64 (log.f64 y) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 y) (*.f64 x (log.f64 y)))
(fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 (log.f64 y) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (log.f64 y)) (neg.f64 (log.f64 y)))
(fma.f64 x (*.f64 #s(literal 1 binary64) (log.f64 y)) (neg.f64 (log.f64 y)))
(fma.f64 x (log.f64 y) (neg.f64 (log.f64 y)))
(+.f64 (neg.f64 (log.f64 y)) (*.f64 x (log.f64 y)))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 (log.f64 y)))
(+.f64 (.f64 (log.f64 y) #s(literal -1 binary64)) (.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 y) #s(literal -1 binary64)))

eval75.0ms (0.6%)

Memory: 4.3MiB live, 159.3MiB allocated
Compiler: Compiled 18 942 to 1 568 computations (91.7% saved)

prune23.0ms (0.2%)

Memory

29.7MiB live, 68.8MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	529	16	545
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	530	16	546

Accuracy

99.9%

Counts

546 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))) (pow.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))) #s(literal -1 binary64))) (neg.f64 t))
	73.6%	(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 y)) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))
	73.6%	(fma.f64 (/.f64 (log.f64 y) (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))
▶	99.8%	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t)))))
	64.5%	(-.f64 (+.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (-.f64 x #s(literal -1 binary64))) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
▶	90.3%	(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
	99.8%	(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (neg.f64 y)))) t)
	99.8%	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t)
▶	44.2%	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	72.2%	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
	90.1%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
▶	83.2%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)) x))
	11.1%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
	38.4%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
▶	35.6%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))

Compiler

Compiled 502 to 406 computations (19.1% saved)

simplify155.0ms (1.2%)

Memory

-27.1MiB live, 191.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 y)
cost-diff	0	(-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x))
cost-diff	0	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)) x))
cost-diff	7104	(*.f64 (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)) x)
cost-diff	0	(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
cost-diff	64	(log.f64 (-.f64 #s(literal 1 binary64) y))
cost-diff	128	(+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
cost-diff	1088	(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	(log1p.f64 (neg.f64 y))
cost-diff	0	(*.f64 z (log1p.f64 (neg.f64 y)))
cost-diff	0	#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y))))
cost-diff	0	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
cost-diff	0	(neg.f64 t)
cost-diff	0	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
cost-diff	0	(fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t))
cost-diff	0	(log.f64 y)
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))

Rules

8 898×	`lower-fma.f32`
8 892×	`lower-fma.f64`
2 076×	`lower-*.f32`
2 070×	`lower-*.f64`
1 950×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	314
0	65	298
1	109	294
2	186	294
3	392	294
4	941	291
5	2464	291
6	4725	291
7	7160	291
0	8151	288

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(log.f64 y)
y
(fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t))
(log1p.f64 (neg.f64 y))
(neg.f64 y)
(-.f64 z #s(literal 1 binary64))
z
(neg.f64 t)
t
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(neg.f64 t)
t
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y))))
(*.f64 z (log1p.f64 (neg.f64 y)))
z
(log1p.f64 (neg.f64 y))
(neg.f64 y)
y
t
(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
(+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(log.f64 y)
y
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
x
(*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))
(-.f64 z #s(literal 1 binary64))
z
(log.f64 (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
t
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)) x))
(*.f64 (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)) x)
(-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x))
(log.f64 y)
y
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)
(fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(log1p.f64 (neg.f64 y))
(neg.f64 y)
(+.f64 (log.f64 y) t)
t
x

Outputs
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))
(fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(log.f64 y)
y
(fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t))
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))
(log1p.f64 (neg.f64 y))
(neg.f64 y)
(-.f64 z #s(literal 1 binary64))
z
(neg.f64 t)
t
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(neg.f64 t)
t
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y))))
(*.f64 z (log1p.f64 (neg.f64 y)))
z
(log1p.f64 (neg.f64 y))
(neg.f64 y)
y
t
(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
(fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))))
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))
(log.f64 y)
y
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
x
(*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)))
(-.f64 z #s(literal 1 binary64))
z
(log.f64 (-.f64 #s(literal 1 binary64) y))
(log1p.f64 (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
t
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)) x))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t))))
(*.f64 (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)) x)
(fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x))
(-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 t (log.f64 y))) x))
(log.f64 y)
y
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 t (log.f64 y))) x)
(fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 t (log.f64 y)))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(log1p.f64 (neg.f64 y))
(neg.f64 y)
(+.f64 (log.f64 y) t)
(+.f64 t (log.f64 y))
t
x

localize215.0ms (1.6%)

Memory

3.3MiB live, 394.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t))
accuracy	0.0234375	(-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x))
accuracy	0.1484375	(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)
accuracy	10.727627454672238	(*.f64 (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)) x)
accuracy	0.01953125	(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
accuracy	0.0234375	(+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
accuracy	0.19921875	(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy	59.239031377519005	(log.f64 (-.f64 #s(literal 1 binary64) y))
accuracy	0	(log1p.f64 (neg.f64 y))
accuracy	0.015625	(*.f64 z (log1p.f64 (neg.f64 y)))
accuracy	0.01953125	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
accuracy	53.369350352556374	#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y))))
accuracy	0	(neg.f64 t)
accuracy	41.22370907599394	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
accuracy	0	(log1p.f64 (neg.f64 y))
accuracy	0	(log.f64 y)
accuracy	0.00390625	(fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t))
accuracy	0.11328125	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))

Samples

122.0ms	184×	1	valid
54.0ms	62×	2	valid
2.0ms	10×	0	valid

Compiler

Compiled 309 to 34 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-log: 48.0ms (35.6% of total)

adjust: 25.0ms (18.5% of total)

ival-mult: 17.0ms (12.6% of total)

ival-sub: 15.0ms (11.1% of total)

ival-div: 12.0ms (8.9% of total)

ival-add: 12.0ms (8.9% of total)

ival-log1p: 2.0ms (1.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series219.0ms (1.7%)

Memory

-11.5MiB live, 339.1MiB allocated

Counts

19 → 636

Calls

Call 1

Inputs
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t))) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)) (patch (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t)) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z (log1p.f64 (neg.f64 y)))) t) (patch (-.f64 #s(approx (+ ( (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t) #<representation binary64>) () ())
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Outputs
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#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z (log1p.f64 (neg.f64 y)))) t) (patch (-.f64 #s(approx (+ ( (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t) #<representation binary64>) () ())) ())
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#s(alt (/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x) #<representation binary64>) () ())) ())
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#s(alt (/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
45.0ms	z	@	0	((+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* z (log (+ 1 (neg y)))) (log (+ 1 (neg y))) (/ (log y) (/ 1 (- x 1))) (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (log (- 1 y)) (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (* (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) x) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)))
25.0ms	x	@	0	((+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* z (log (+ 1 (neg y)))) (log (+ 1 (neg y))) (/ (log y) (/ 1 (- x 1))) (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (log (- 1 y)) (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (* (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) x) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)))
23.0ms	x	@	inf	((+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* z (log (+ 1 (neg y)))) (log (+ 1 (neg y))) (/ (log y) (/ 1 (- x 1))) (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (log (- 1 y)) (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (* (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) x) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)))
22.0ms	x	@	-inf	((+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* z (log (+ 1 (neg y)))) (log (+ 1 (neg y))) (/ (log y) (/ 1 (- x 1))) (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (log (- 1 y)) (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (* (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) x) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)))
13.0ms	z	@	inf	((+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* z (log (+ 1 (neg y)))) (log (+ 1 (neg y))) (/ (log y) (/ 1 (- x 1))) (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (log (- 1 y)) (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (* (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) x) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)))

simplify200.0ms (1.5%)

Memory

36.7MiB live, 277.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 112×	`lower-fma.f64`
12 112×	`lower-fma.f32`
5 656×	`lower-+.f64`
5 656×	`lower-+.f32`
4 186×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	656	12288
1	2112	11463
2	6963	11213
0	8467	10300

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 632

Calls

Call 1

Inputs
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))
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(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(* (log (- 1 y)) (- z 1))
(+ (* -1 t) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (* (log (- 1 y)) (- z 1)))
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(* -1 t)
(* -1 t)
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(* -1 t)
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))
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(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(* x (- (log y) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x))))
(+ (* -1 t) (* x (- (log y) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))))
(+ (* -1 t) (* x (- (log y) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))))
(+ (* -1 t) (* x (- (log y) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))))
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(- (+ (log y) (* -1 (/ t x))) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))
(/ (+ (log y) (* (log (- 1 y)) (- 1 z))) x)
(+ (/ t x) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))
(+ (/ t x) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))
(+ (/ t x) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))
(+ (log y) (* (log (- 1 y)) (- 1 z)))
(+ t (+ (log y) (* (log (- 1 y)) (- 1 z))))
(+ t (+ (log y) (* (log (- 1 y)) (- 1 z))))
(+ t (+ (log y) (* (log (- 1 y)) (- 1 z))))
(* -1 t)
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(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* -1 t)
(* t (- (/ (* (log (- 1 y)) (- z 1)) t) 1))
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(* -1 t)
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* -1 t)
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(* -1 t)
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(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* -1 t)
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* -1 t)
(* t (- (/ (* x (- (log y) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))) t) 1))
(* t (- (/ (* x (- (log y) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))) t) 1))
(* t (- (/ (* x (- (log y) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))) t) 1))
(* -1 t)
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* -1 (/ t x))
(* t (- (/ (log y) t) (+ (/ 1 x) (+ (/ (log y) (* t x)) (/ (* (log (- 1 y)) (- 1 z)) (* t x))))))
(* t (- (/ (log y) t) (+ (/ 1 x) (+ (/ (log y) (* t x)) (/ (* (log (- 1 y)) (- 1 z)) (* t x))))))
(* t (- (/ (log y) t) (+ (/ 1 x) (+ (/ (log y) (* t x)) (/ (* (log (- 1 y)) (- 1 z)) (* t x))))))
(/ t x)
(* t (+ (/ 1 x) (+ (/ (log y) (* t x)) (/ (* (log (- 1 y)) (- 1 z)) (* t x)))))
(* t (+ (/ 1 x) (+ (/ (log y) (* t x)) (/ (* (log (- 1 y)) (- 1 z)) (* t x)))))
(* t (+ (/ 1 x) (+ (/ (log y) (* t x)) (/ (* (log (- 1 y)) (- 1 z)) (* t x)))))
t
(* t (+ 1 (+ (/ (log y) t) (/ (* (log (- 1 y)) (- 1 z)) t))))
(* t (+ 1 (+ (/ (log y) t) (/ (* (log (- 1 y)) (- 1 z)) t))))
(* t (+ 1 (+ (/ (log y) t) (/ (* (log (- 1 y)) (- 1 z)) t))))
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t
(* -1 (* t (- (* -1 (/ (+ (log y) (* (log (- 1 y)) (- 1 z))) t)) 1)))
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(+ (log y) (* -1 (/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x)))
(-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 t (log.f64 y))) x))
(+ (log y) (* -1 (/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x)))
(-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 t (log.f64 y))) x))
(/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 t (log.f64 y))) x)
(/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 t (log.f64 y))) x)
(/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 t (log.f64 y))) x)
(/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 t (log.f64 y))) x)

rewrite206.0ms (1.6%)

Memory

-30.3MiB live, 248.3MiB allocated

Rules

5 650×	`lower-fma.f32`
5 644×	`lower-fma.f64`
3 886×	`lower-/.f32`
3 880×	`lower-/.f64`
3 466×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	245
0	65	233
1	293	229
2	2583	229
0	8638	208

Stop Event

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

Counts

19 → 622

Calls

Call 1

Inputs
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))
(-.f64 x #s(literal 1 binary64))
(log.f64 y)
(fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(neg.f64 t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y))))
(*.f64 z (log1p.f64 (neg.f64 y)))
(log1p.f64 (neg.f64 y))
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
(log.f64 (-.f64 #s(literal 1 binary64) y))
(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
(*.f64 (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)) x)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)) x))
(-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)
(fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t))

Outputs
(.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 t t)) (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) t)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (fma.f64 t (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) t)) (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) (-.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) t)) (-.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 t t))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))) (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 t (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) t)) (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) (-.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t)) (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t)) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) t) (-.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) t)) (.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) (-.f64 (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) t)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 t) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (neg.f64 t) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (+.f64 (neg.f64 t) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))))) (.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) (+.f64 (neg.f64 t) (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t))) (.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t))))))
(/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (neg.f64 t) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 t t)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) t)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 t (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) t)) (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) (-.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (log.f64 y)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 #s(literal 1 binary64) t)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (.f64 t t))))) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 #s(literal 1 binary64) t)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (log.f64 y)) (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (log.f64 y) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 #s(literal 1 binary64) t)) (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (.f64 t t))))) (neg.f64 (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 #s(literal 1 binary64) t)))))
(/.f64 (neg.f64 (fma.f64 (log.f64 y) (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) (neg.f64 (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 #s(literal 1 binary64) t)) (.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (log.f64 y)) (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (.f64 t t))))) (neg.f64 (.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (log.f64 y)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 #s(literal 1 binary64) t)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (log.f64 y)) (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) (neg.f64 (.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (log.f64 y)) (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 t t))) (neg.f64 (-.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (neg.f64 t))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 t t))) (neg.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) t))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (+.f64 t (log.f64 y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (+.f64 t (log.f64 y)))))
(neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (+.f64 t (log.f64 y))) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y))))) (/.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64)) (.f64 x (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (+.f64 t (log.f64 y))) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y)))) x) (/.f64 (/.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y)))) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (+.f64 t (log.f64 y))))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 t (log.f64 y)) (-.f64 (+.f64 t (log.f64 y)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y))) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y))) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 t (log.f64 y)) (-.f64 (+.f64 t (log.f64 y)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y))) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) t) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) t) (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) t) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) t) (log.f64 y)))))
(/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) #s(literal 2 binary64)) (*.f64 t (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (+.f64 t (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y))) #s(literal 3 binary64))) (fma.f64 (log.f64 y) (log.f64 y) (-.f64 (.f64 (+.f64 t (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y))) (+.f64 t (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)))) (.f64 (log.f64 y) (+.f64 t (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) #s(literal 2 binary64)) (*.f64 t t))) (neg.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 t (log.f64 y)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) #s(literal 2 binary64)) (-.f64 (.f64 t t) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) t)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 t (log.f64 y)) (-.f64 (+.f64 t (log.f64 y)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) t))
(/.f64 (-.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64))) (-.f64 (+.f64 t (log.f64 y)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) #s(literal 2 binary64)) (-.f64 (.f64 t t) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) t))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 t (log.f64 y)) (-.f64 (+.f64 t (log.f64 y)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 3 binary64))) (fma.f64 (+.f64 t (log.f64 y)) (-.f64 (+.f64 t (log.f64 y)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y))) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 t (log.f64 y)) (-.f64 (+.f64 t (log.f64 y)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y))) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y))) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 t (log.f64 y)) (-.f64 (+.f64 t (log.f64 y)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y))) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (log1p.f64 y) (+.f64 z #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (+.f64 t (log.f64 y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (.f64 t t)) (pow.f64 (-.f64 (log.f64 y) t) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)))
(fma.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (pow.f64 (fma.f64 t (-.f64 t (log.f64 y)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (log1p.f64 y) #s(literal 1 binary64)) (+.f64 t (log.f64 y)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (+.f64 t (log.f64 y)))
(fma.f64 (log1p.f64 y) (-.f64 #s(literal 1 binary64) z) (+.f64 t (log.f64 y)))
(fma.f64 (log.f64 y) #s(literal 1 binary64) (+.f64 t (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) #s(literal 2 binary64)) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) t)) (/.f64 (*.f64 t t) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) t)))
(-.f64 (/.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 t (log.f64 y)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)) (-.f64 (+.f64 t (log.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y)))) (/.f64 (pow.f64 (+.f64 t (log.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y)))))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) t) (log.f64 y))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)) t)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)) (+.f64 t (log.f64 y)))
(+.f64 (+.f64 t (log.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y)))
(+.f64 t (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (log.f64 y)))
(+.f64 (log.f64 y) (+.f64 t (*.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y))))

eval227.0ms (1.7%)

Memory: 31.8MiB live, 338.0MiB allocated
Compiler: Compiled 38 130 to 3 717 computations (90.3% saved)

prune162.0ms (1.2%)

Memory

4.1MiB live, 118.9MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	1 473	20	1 493
Fresh	7	4	11
Picked	4	1	5
Done	0	0	0
Total	1 484	25	1 509

Accuracy

100.0%

Counts

1 509 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))) (pow.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))) #s(literal -1 binary64))) (neg.f64 t))
	73.6%	(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 y)) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))
▶	23.9%	(fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)))
▶	99.8%	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t)))
	90.1%	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (neg.f64 t)))
	32.6%	(/.f64 (fma.f64 (neg.f64 (log.f64 y)) (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t)))))
	64.5%	(-.f64 (+.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (-.f64 x #s(literal -1 binary64))) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
	99.7%	(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (neg.f64 y)))) t)
	90.3%	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
	99.8%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t)
	72.2%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
▶	35.5%	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
	44.2%	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
▶	44.2%	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
	77.0%	#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 (fma.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) t) (log1p.f64 (neg.f64 y)) (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) t) (log.f64 y) #s(literal -1 binary64))) t))
	11.1%	#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
	38.4%	#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
	17.7%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
	49.4%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (+.f64 t (log.f64 y))) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (+.f64 t (log.f64 y))) x) (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (+.f64 t (log.f64 y))) x) (log.f64 y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x))
▶	44.6%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) x))
	58.7%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (-.f64 (log.f64 y) #s(approx (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (/.f64 t x))) x))
	22.0%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
✓	35.6%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
	66.0%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) #s(approx (* (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) x) (*.f64 (fma.f64 (-.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 t (log.f64 y)) x)) (/.f64 (log1p.f64 (neg.f64 y)) x)) (/.f64 x z) (log1p.f64 (neg.f64 y))) z)))

Compiler

Compiled 937 to 662 computations (29.3% saved)

simplify189.0ms (1.5%)

Memory

-26.4MiB live, 83.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(log.f64 y)
cost-diff	0	(/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
cost-diff	14528	(fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)))
cost-diff	0	(log.f64 y)
cost-diff	0	(-.f64 (log.f64 y) (/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x))
cost-diff	0	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) x))
cost-diff	704	(.f64 (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) x)
cost-diff	0	(log1p.f64 y)
cost-diff	0	(*.f64 (log1p.f64 y) z)
cost-diff	0	#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z))
cost-diff	0	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
cost-diff	0	#s(approx (log (+ 1 (neg y))) (neg.f64 y))
cost-diff	0	(*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))
cost-diff	0	#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))
cost-diff	0	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
cost-diff	0	(log.f64 y)
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t)))
cost-diff	128	(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t)

Rules

7 096×	`lower-fma.f32`
7 090×	`lower-fma.f64`
2 120×	`lower-*.f32`
2 110×	`lower-*.f64`
1 894×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	409
0	87	402
1	143	401
2	252	401
3	574	395
4	1304	393
5	2660	389
6	4017	389
7	5072	389
8	6174	389
9	7684	389
0	8031	375

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(log.f64 y)
y
#s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t))
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t)
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
z
t
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))
(*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))
z
#s(approx (log (+ 1 (neg y))) (neg.f64 y))
(neg.f64 y)
y
t
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z))
(*.f64 (log1p.f64 y) z)
(log1p.f64 y)
y
z
t
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) x))
(.f64 (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) x)
(-.f64 (log.f64 y) (/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x))
(log.f64 y)
y
(/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)
#s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y))))
(*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))
(neg.f64 z)
z
(log1p.f64 (neg.f64 y))
(neg.f64 y)
x
(fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)))
(/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(log.f64 y)
y
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))
(-.f64 z #s(literal 1 binary64))
z
(log1p.f64 y)
(neg.f64 t)
t

Outputs
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 y (fma.f64 z y t))))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(log.f64 y)
y
#s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t))
#s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 y (fma.f64 z y t)))
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t)
(-.f64 y (fma.f64 z y t))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
z
t
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t)
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z))
(*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))
(*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)
z
#s(approx (log (+ 1 (neg y))) (neg.f64 y))
(neg.f64 y)
y
t
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z))
(*.f64 (log1p.f64 y) z)
(log1p.f64 y)
y
z
t
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) x))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (-.f64 (.f64 (log.f64 y) x) #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y))))))
(.f64 (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) x)
(-.f64 (.f64 (log.f64 y) x) #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))))
(-.f64 (log.f64 y) (/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x))
(log.f64 y)
y
(/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)
#s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y))))
(*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))
(neg.f64 z)
z
(log1p.f64 (neg.f64 y))
(neg.f64 y)
x
(fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 (fma.f64 (log1p.f64 y) (-.f64 #s(literal 1 binary64) z) t)))
(/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(log.f64 y)
y
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))
(neg.f64 (fma.f64 (log1p.f64 y) (-.f64 #s(literal 1 binary64) z) t))
(-.f64 z #s(literal 1 binary64))
z
(log1p.f64 y)
(neg.f64 t)
t

localize182.0ms (1.4%)

Memory

4.1MiB live, 198.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))
accuracy	0.0625	(fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)))
accuracy	0.09375	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
accuracy	0.09994125976844201	(/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
accuracy	0.0078125	(-.f64 (log.f64 y) (/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x))
accuracy	0.04296875	(/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)
accuracy	0.06640625	(.f64 (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) x)
accuracy	13.59362525589907	#s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y))))
accuracy	0	(log1p.f64 y)
accuracy	0.0078125	(*.f64 (log1p.f64 y) z)
accuracy	0.015625	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
accuracy	16.090195604026732	#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z))
accuracy	0	(neg.f64 y)
accuracy	0.015625	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
accuracy	0.13555234354153464	#s(approx (log (+ 1 (neg y))) (neg.f64 y))
accuracy	15.337254835691585	#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))
accuracy	0	(log.f64 y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) z) y)
accuracy	0.0625	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t)))
accuracy	0.13720286128255876	#s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t))

Samples

72.0ms	190×	0	invalid
28.0ms	51×	0	valid
12.0ms	15×	1	valid

Compiler

Compiled 340 to 44 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 19.0ms (32% of total)

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

ival-sub: 9.0ms (15.2% of total)

ival-add: 8.0ms (13.5% of total)

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

ival-log1p: 3.0ms (5.1% of total)

ival-neg: 3.0ms (5.1% of total)

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

adjust: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series438.0ms (3.4%)

Memory

-22.2MiB live, 295.0MiB allocated

Counts

25 → 780

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) t) (patch (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) t) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) t))) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) (patch (-.f64 #s(approx (+ ( (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) (patch #s(approx (+ ( (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) #<representation binary64>) () ())
#s(alt (.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))) (patch (.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (neg y))) (neg.f64 y)) (patch #s(approx (log (+ 1 (neg y))) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 (log1p.f64 y) z)) t) (patch (-.f64 #s(approx (+ ( (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 (log1p.f64 y) z)) (patch #s(approx (+ ( (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) #<representation binary64>) () ())
#s(alt (.f64 (log1p.f64 y) z) (patch (.f64 (log1p.f64 y) z) #<representation binary64>) () ())
#s(alt (log1p.f64 y) (patch (log1p.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) x) (patch (.f64 (-.f64 (log.f64 y) (/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) x) #<representation binary64>) () ())
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Outputs
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#s(alt (log y) (taylor -inf x) (#s(alt (-.f64 (log.f64 y) (/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) (patch (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* -1 (/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x))) (taylor -inf x) (#s(alt (-.f64 (log.f64 y) (/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) (patch (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* -1 (/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x))) (taylor -inf x) (#s(alt (-.f64 (log.f64 y) (/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) (patch (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* -1 (/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x))) (taylor -inf x) (#s(alt (-.f64 (log.f64 y) (/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) (patch (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (log y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))) (patch (fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- (+ (* (log (+ 1 y)) (- z 1)) (/ (log y) (pow (sqrt -1) 2))) t) x)) (/ (log y) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))) (patch (fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- (+ (* (log (+ 1 y)) (- z 1)) (/ (log y) (pow (sqrt -1) 2))) t) x)) (/ (log y) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))) (patch (fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (- (+ (* (log (+ 1 y)) (- z 1)) (/ (log y) (pow (sqrt -1) 2))) t) x)) (/ (log y) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))) (patch (fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (log y))) (taylor -inf x) (#s(alt (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (log y))) (* (sqrt (/ 1 x)) (log y))))) (taylor -inf x) (#s(alt (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (log y))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (log y))) (* (sqrt (/ 1 x)) (log y)))))) (taylor -inf x) (#s(alt (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (log y))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (log y))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (log y))) (* (sqrt (/ 1 x)) (log y))))))) (taylor -inf x) (#s(alt (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x) (patch (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x) (patch (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x) (patch (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x) (patch (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
57.0ms	x	@	inf	((- (* (- 1 z) y) t) (+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* z (log (+ 1 (neg y)))) (log (+ 1 (neg y))) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (log (+ 1 y)) (* (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) x) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (/ (log y) (pow (- x 1) -1/2)) (pow (- x 1) -1/2) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (* (- 1 z) y) (neg y) (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (/ 1 (pow (- x 1) -1/2)) (+ (* (- z 1) (log (+ 1 y))) (neg t)))
52.0ms	x	@	0	((- (* (- 1 z) y) t) (+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* z (log (+ 1 (neg y)))) (log (+ 1 (neg y))) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (log (+ 1 y)) (* (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) x) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (/ (log y) (pow (- x 1) -1/2)) (pow (- x 1) -1/2) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (* (- 1 z) y) (neg y) (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (/ 1 (pow (- x 1) -1/2)) (+ (* (- z 1) (log (+ 1 y))) (neg t)))
47.0ms	z	@	-inf	((- (* (- 1 z) y) t) (+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* z (log (+ 1 (neg y)))) (log (+ 1 (neg y))) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (log (+ 1 y)) (* (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) x) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (/ (log y) (pow (- x 1) -1/2)) (pow (- x 1) -1/2) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (* (- 1 z) y) (neg y) (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (/ 1 (pow (- x 1) -1/2)) (+ (* (- z 1) (log (+ 1 y))) (neg t)))
39.0ms	t	@	inf	((- (* (- 1 z) y) t) (+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* z (log (+ 1 (neg y)))) (log (+ 1 (neg y))) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (log (+ 1 y)) (* (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) x) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (/ (log y) (pow (- x 1) -1/2)) (pow (- x 1) -1/2) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (* (- 1 z) y) (neg y) (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (/ 1 (pow (- x 1) -1/2)) (+ (* (- z 1) (log (+ 1 y))) (neg t)))
38.0ms	y	@	inf	((- (* (- 1 z) y) t) (+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* z (log (+ 1 (neg y)))) (log (+ 1 (neg y))) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (log (+ 1 y)) (* (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) x) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (/ (log y) (pow (- x 1) -1/2)) (pow (- x 1) -1/2) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (* (- 1 z) y) (neg y) (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (/ 1 (pow (- x 1) -1/2)) (+ (* (- z 1) (log (+ 1 y))) (neg t)))

simplify368.0ms (2.8%)

Memory

30.4MiB live, 303.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 362×	`lower-fma.f64`
11 362×	`lower-fma.f32`
7 916×	`lower-+.f64`
7 916×	`lower-+.f32`
4 686×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1064	14215
1	3399	13243
0	8493	12143

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 774

Calls

Call 1

Inputs
(* y (- 1 z))
(+ (* -1 t) (* y (- 1 z)))
(+ (* -1 t) (* y (- 1 z)))
(+ (* -1 t) (* y (- 1 z)))
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(* x (- (log y) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x))))
(+ (* -1 t) (* x (- (log y) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))))
(+ (* -1 t) (* x (- (log y) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))))
(+ (* -1 t) (* x (- (log y) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))))
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(- (log y) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))
(- (+ (log y) (* -1 (/ t x))) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))
(- (+ (log y) (* -1 (/ t x))) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))
(- (+ (log y) (* -1 (/ t x))) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x)))
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(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (log.f64 y))) t) (neg.f64 x)) (log.f64 y)))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (log.f64 y))) t) (neg.f64 x)) (log.f64 y)))
(* x (log y))
(*.f64 x (log.f64 y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (log.f64 y))) (neg.f64 x)) (log.f64 y)))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (log.f64 y))) (neg.f64 x)) (log.f64 y)))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (log.f64 y))) (neg.f64 x)) (log.f64 y)))
(* x (log y))
(*.f64 x (log.f64 y))
(* -1 (* x (+ (* -1 (log y)) (+ (/ t x) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x))))))
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 t x) (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) z) x) (/.f64 (log.f64 y) x))) (log.f64 y)))
(* -1 (* x (+ (* -1 (log y)) (+ (/ t x) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x))))))
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 t x) (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) z) x) (/.f64 (log.f64 y) x))) (log.f64 y)))
(* -1 (* x (+ (* -1 (log y)) (+ (/ t x) (+ (/ (log y) x) (/ (* (log (- 1 y)) (- 1 z)) x))))))
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 t x) (fma.f64 (log1p.f64 (neg.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) z) x) (/.f64 (log.f64 y) x))) (log.f64 y)))
(* x (log y))
(*.f64 x (log.f64 y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (log.f64 y))) t) (neg.f64 x)) (log.f64 y)))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (log.f64 y))) t) (neg.f64 x)) (log.f64 y)))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (log.f64 y))) t) (neg.f64 x)) (log.f64 y)))
(log y)
(log.f64 y)
(+ (log y) (* -1 (/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x)))
(-.f64 (log.f64 y) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z) (+.f64 (log.f64 y) t)) x))
(+ (log y) (* -1 (/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x)))
(-.f64 (log.f64 y) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z) (+.f64 (log.f64 y) t)) x))
(+ (log y) (* -1 (/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x)))
(-.f64 (log.f64 y) (/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z) (+.f64 (log.f64 y) t)) x))
(* -1 (/ (* x (log y)) (pow (sqrt -1) 2)))
(/.f64 (*.f64 x (log.f64 y)) #s(literal 1 binary64))
(* -1 (* x (+ (* -1 (/ (- (+ (* (log (+ 1 y)) (- z 1)) (/ (log y) (pow (sqrt -1) 2))) t) x)) (/ (log y) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (/.f64 (fma.f64 (log1p.f64 y) (+.f64 #s(literal -1 binary64) z) (-.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) t)) x)))
(* -1 (* x (+ (* -1 (/ (- (+ (* (log (+ 1 y)) (- z 1)) (/ (log y) (pow (sqrt -1) 2))) t) x)) (/ (log y) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (/.f64 (fma.f64 (log1p.f64 y) (+.f64 #s(literal -1 binary64) z) (-.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) t)) x)))
(* -1 (* x (+ (* -1 (/ (- (+ (* (log (+ 1 y)) (- z 1)) (/ (log y) (pow (sqrt -1) 2))) t) x)) (/ (log y) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) (/.f64 (fma.f64 (log1p.f64 y) (+.f64 #s(literal -1 binary64) z) (-.f64 (/.f64 (log.f64 y) #s(literal -1 binary64)) t)) x)))
(* -1 (* (sqrt x) (log y)))
(*.f64 (sqrt.f64 x) (neg.f64 (log.f64 y)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (log y))) (* (sqrt (/ 1 x)) (log y)))))
(.f64 (neg.f64 x) (.f64 (log.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (log y))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (log y))) (* (sqrt (/ 1 x)) (log y))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (log.f64 y) (*.f64 (log.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (log y))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (log y))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (log y))) (* (sqrt (/ 1 x)) (log y)))))))
(.f64 (neg.f64 x) (fma.f64 (log.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64))) (*.f64 (log.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))
(/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x)
(/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z) (+.f64 (log.f64 y) t)) x)
(/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x)
(/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z) (+.f64 (log.f64 y) t)) x)
(/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x)
(/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z) (+.f64 (log.f64 y) t)) x)
(/ (+ t (+ (log y) (* (log (- 1 y)) (- 1 z)))) x)
(/.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) z) (+.f64 (log.f64 y) t)) x)
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
(.f64 (neg.f64 x) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

rewrite304.0ms (2.3%)

Memory

12.9MiB live, 275.6MiB allocated

Rules

4 258×	`lower-fma.f32`
4 252×	`lower-fma.f64`
3 766×	`lower-/.f32`
3 760×	`lower-/.f64`
2 954×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	359
0	87	348
1	364	341
2	3010	318
0	8629	307

Stop Event

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

Counts

25 → 615

Calls

Call 1

Inputs
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t)))
(-.f64 x #s(literal 1 binary64))
(log.f64 y)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))
(*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))
#s(approx (log (+ 1 (neg y))) (neg.f64 y))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z))
(*.f64 (log1p.f64 y) z)
(log1p.f64 y)
(.f64 (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) x)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) x))
(-.f64 (log.f64 y) (/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x))
(fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)))
(/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
#s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(neg.f64 y)
#s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y))))
(/.f64 #s(approx (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))

Outputs
(.f64 (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (fma.f64 t (fma.f64 y (-.f64 #s(literal 1 binary64) z) t) (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 t t)) (pow.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) t) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) t) (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (.f64 t t))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 t (fma.f64 y (-.f64 #s(literal 1 binary64) z) t) (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (.f64 t t)))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) t))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 t (fma.f64 y (-.f64 #s(literal 1 binary64) z) t) (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (-.f64 (.f64 t t) (.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (neg.f64 t)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (fma.f64 y (-.f64 #s(literal 1 binary64) z) t) (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (.f64 t t))) (neg.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (neg.f64 t))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (.f64 t t))) (neg.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (-.f64 (.f64 t t) (.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (neg.f64 t))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t (fma.f64 y (-.f64 #s(literal 1 binary64) z) t) (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (.f64 t t)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (neg.f64 t)))
(/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (.f64 t t)) (fma.f64 y (-.f64 #s(literal 1 binary64) z) t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) t) (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (.f64 t t)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 t (fma.f64 y (-.f64 #s(literal 1 binary64) z) t) (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) t) (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (fma.f64 y (-.f64 #s(literal 1 binary64) z) t) (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))
(fma.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (neg.f64 t))
(fma.f64 #s(literal -1 binary64) t (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 t #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (neg.f64 t))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal 1 binary64)) (neg.f64 t))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (.f64 t t)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (*.f64 #s(literal 1 binary64) t)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (fma.f64 t t (.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) t)))))
(/.f64 (-.f64 (.f64 t t) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64))) (-.f64 (neg.f64 t) (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (fma.f64 t t (.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) t))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (.f64 t t))) (neg.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (.f64 t t))) (neg.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (*.f64 #s(literal 1 binary64) t))))
(/.f64 (neg.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (.f64 t t)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) t))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (.f64 t t)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (*.f64 #s(literal 1 binary64) t)))
(/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))))))
(/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64))) (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 #s(literal 1 binary64) t)) (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (*.f64 t t)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 #s(literal 1 binary64) t)) (-.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (log1p.f64 y) (+.f64 z #s(literal 1 binary64))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 t))
(fma.f64 #s(literal -1 binary64) t (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)))
(fma.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 (log1p.f64 y) #s(literal 1 binary64)) (neg.f64 t))
(fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t))
(fma.f64 (log1p.f64 y) (-.f64 z #s(literal 1 binary64)) (neg.f64 t))
(fma.f64 t #s(literal -1 binary64) (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)))
(-.f64 (/.f64 (.f64 t t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)))) (/.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (fma.f64 t t (.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) t)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (fma.f64 t t (.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) t)))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) t)) (/.f64 (.f64 t t) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) t)))
(-.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) #s(literal 0 binary64)) t)
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 #s(literal 1 binary64) t))) (/.f64 (.f64 t t) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (.f64 #s(literal 1 binary64) t))))
(-.f64 #s(literal 0 binary64) (-.f64 t (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))))
(-.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) t)
(+.f64 (neg.f64 t) (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)))
(+.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) (neg.f64 t))

eval317.0ms (2.4%)

Memory: 64.7MiB live, 641.1MiB allocated
Compiler: Compiled 42 174 to 4 044 computations (90.4% saved)

prune369.0ms (2.8%)

Memory

-118.5MiB live, 237.3MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1 661	12	1 673
Fresh	6	13	19
Picked	4	1	5
Done	0	1	1
Total	1 671	27	1 698

Accuracy

100.0%

Counts

1 698 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.6%	(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 y)) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))
	25.6%	(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) t)))
▶	25.6%	(fma.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (log.f64 y)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) t)))
▶	99.6%	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)) t)))
	90.1%	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (neg.f64 t)))
	90.3%	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))
	64.9%	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (*.f64 (neg.f64 z) y))))
	25.6%	(fma.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 y)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) t)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t)))))
	64.5%	(-.f64 (+.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (-.f64 x #s(literal -1 binary64))) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
	99.7%	(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (neg.f64 y)))) t)
	90.3%	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
▶	99.8%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t)
	72.2%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
▶	30.5%	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)) t)
	44.2%	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
✓	44.2%	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
▶	35.5%	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
	38.4%	#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
	17.7%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
	37.0%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 y)))) #s(literal -3 binary64))) x) (fma.f64 (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 y))) x) (+.f64 (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 y))) x) (log.f64 y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))
	38.0%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 x #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 y)))) #s(literal -2 binary64))) x) (+.f64 (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 y))) x) (log.f64 y))))
	58.7%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (-.f64 (log.f64 y) #s(approx (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (/.f64 t x))) x))
	22.0%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
✓	35.6%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
	73.8%	#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (fma.f64 (log1p.f64 y) (/.f64 (-.f64 z #s(literal 1 binary64)) t) (fma.f64 (log.f64 y) (/.f64 (-.f64 x #s(literal 1 binary64)) t) #s(literal -1 binary64))) t))
	2.7%	#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (log1p.f64 y) z))

Compiler

Compiled 797 to 671 computations (15.8% saved)

simplify202.0ms (1.5%)

Memory

20.7MiB live, 138.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
cost-diff	128	(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) t)
cost-diff	256	(fma.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (log.f64 y)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) t)))
cost-diff	576	(/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)) t))
cost-diff	0	(log.f64 y)
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)) t)))
cost-diff	0	#s(approx (log (+ 1 y)) (log.f64 y))
cost-diff	0	(*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)
cost-diff	0	#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z))
cost-diff	0	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)) t)
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (* (log (+ 1 y)) z) (*.f64 z y))
cost-diff	0	#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y)))
cost-diff	0	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))
cost-diff	0	#s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))))
cost-diff	0	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t)

Rules

4 368×	`lower-fma.f32`
4 362×	`lower-fma.f64`
1 280×	`lower-*.f32`
1 270×	`lower-*.f64`
1 112×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	437
0	84	429
1	135	425
2	215	425
3	464	423
4	935	423
5	2059	422
6	3774	422
7	4309	422
8	4437	422
9	4477	422
10	4493	422
11	4513	422
12	4605	422
13	4635	422
14	4651	422
15	4653	422
16	4653	422
0	4653	388

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize218.0ms (1.7%)

Memory

1.7MiB live, 234.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 y (-.f64 #s(literal 1 binary64) z))
accuracy	0.05859375	(fma.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (log.f64 y)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) t)))
accuracy	0.09994125976844201	(/.f64 (neg.f64 (log.f64 y)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
accuracy	0.13720286128255876	#s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) t))
accuracy	0	(log.f64 y)
accuracy	0.0625	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)) t)))
accuracy	0.13720286128255876	#s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)) t))
accuracy	7.102960449830331	#s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))
accuracy	0.0078125	(*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)
accuracy	0.015625	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)) t)
accuracy	16.090195604026732	#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z))
accuracy	16.11687601340321	#s(approx (log (+ 1 y)) (log.f64 y))
accuracy	0	(*.f64 z y)
accuracy	0.015625	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
accuracy	0.13594531138569477	#s(approx (* (log (+ 1 y)) z) (*.f64 z y))
accuracy	16.090195604026732	#s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y)))
accuracy	0	(log.f64 y)
accuracy	0	#s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))))
accuracy	0.015625	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t)
accuracy	0.08203125	(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))

Samples

150.0ms	190×	0	invalid
16.0ms	51×	0	valid
13.0ms	15×	1	valid

Compiler

Compiled 314 to 46 computations (85.4% saved)

Precisions

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

ival-log1p: 18.0ms (23.3% of total)

ival-mult: 16.0ms (20.7% of total)

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

ival-sub: 10.0ms (12.9% of total)

ival-add: 7.0ms (9.1% of total)

ival-div: 6.0ms (7.8% of total)

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

ival-sqrt: 2.0ms (2.6% of total)

ival-pow: 2.0ms (2.6% of total)

adjust: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series205.0ms (1.6%)

Memory

-40.1MiB live, 304.6MiB allocated

Counts

25 → 732

Calls

Call 1

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

Outputs
#s(alt (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) (taylor 0 t) (#s(alt (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t) (patch (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) ( (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) (taylor 0 t) (#s(alt (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t) (patch (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) ( (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) (taylor 0 t) (#s(alt (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t) (patch (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) ( (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) (taylor 0 t) (#s(alt (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t) (patch (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) ( (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t) #<representation binary64>) () ())) ())
#s(alt (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) (taylor 0 t) (#s(alt (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (.f64 z y))) t) (patch (-.f64 #s(approx (+ ( (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) (taylor 0 t) (#s(alt (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (.f64 z y))) t) (patch (-.f64 #s(approx (+ ( (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (log y))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (log y)))))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (log.f64 y)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (neg.f64 (log.f64 y)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (log y))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (log y))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (log y))))))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (log.f64 y)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (neg.f64 (log.f64 y)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (log y))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (log y))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (log y))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (log y)))))))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (log.f64 y)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (patch (/.f64 (neg.f64 (log.f64 y)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
41.0ms	y	@	-inf	((- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (+ (* (- 1 z) y) (* (- x 1) (log y))) (- 1 z) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (* z y) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (log (+ 1 y)) (+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (/ (sqrt (- x 1)) -1) (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- (* y (- 1 z)) t) (sqrt (- x 1)) (* (- x 1) (log y)) (* (- 1 z) y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (/ (neg (log y)) (pow (- x 1) -1/2)) (* y (- 1 z)))
32.0ms	z	@	inf	((- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (+ (* (- 1 z) y) (* (- x 1) (log y))) (- 1 z) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (* z y) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (log (+ 1 y)) (+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (/ (sqrt (- x 1)) -1) (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- (* y (- 1 z)) t) (sqrt (- x 1)) (* (- x 1) (log y)) (* (- 1 z) y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (/ (neg (log y)) (pow (- x 1) -1/2)) (* y (- 1 z)))
26.0ms	y	@	0	((- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (+ (* (- 1 z) y) (* (- x 1) (log y))) (- 1 z) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (* z y) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (log (+ 1 y)) (+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (/ (sqrt (- x 1)) -1) (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- (* y (- 1 z)) t) (sqrt (- x 1)) (* (- x 1) (log y)) (* (- 1 z) y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (/ (neg (log y)) (pow (- x 1) -1/2)) (* y (- 1 z)))
16.0ms	z	@	0	((- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (+ (* (- 1 z) y) (* (- x 1) (log y))) (- 1 z) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (* z y) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (log (+ 1 y)) (+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (/ (sqrt (- x 1)) -1) (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- (* y (- 1 z)) t) (sqrt (- x 1)) (* (- x 1) (log y)) (* (- 1 z) y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (/ (neg (log y)) (pow (- x 1) -1/2)) (* y (- 1 z)))
12.0ms	x	@	-inf	((- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (+ (* (- 1 z) y) (* (- x 1) (log y))) (- 1 z) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (* z y) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (* (log (+ 1 y)) z) (log (+ 1 y)) (+ (* (- x 1) (log y)) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- x 1) (log y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (/ (sqrt (- x 1)) -1) (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (- (* y (- 1 z)) t) (sqrt (- x 1)) (* (- x 1) (log y)) (* (- 1 z) y) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (/ (neg (log y)) (pow (- x 1) -1/2)) (* y (- 1 z)))

simplify190.0ms (1.5%)

Memory

33.7MiB live, 381.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 368×	`lower-fma.f64`
12 368×	`lower-fma.f32`
4 828×	`lower-*.f64`
4 828×	`lower-*.f32`
3 400×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	559	11404
1	1771	10557
2	5662	10244
0	8247	9403

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 727

Calls

Call 1

Inputs
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(* (log (- 1 y)) (- z 1))
(+ (* -1 t) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (* (log (- 1 y)) (- z 1)))
(+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
(* y (- 1 z))
(+ (* -1 t) (* y (- 1 z)))
(+ (* -1 t) (* y (- 1 z)))
(+ (* -1 t) (* y (- 1 z)))
(* (log (- 1 y)) (- z 1))
(+ (* -1 t) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (* (log (- 1 y)) (- z 1)))
(+ (* -1 t) (* (log (- 1 y)) (- z 1)))
(* -1 t)
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* -1 t)
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* -1 t)
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* -1 t)
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* -1 t)
(* t (- (/ (* (log (- 1 y)) (- z 1)) t) 1))
(* t (- (/ (* (log (- 1 y)) (- z 1)) t) 1))
(* t (- (/ (* (log (- 1 y)) (- z 1)) t) 1))
(* -1 t)
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(* -1 t)
(* t (- (/ (* y (- 1 z)) t) 1))
(* t (- (/ (* y (- 1 z)) t) 1))
(* t (- (/ (* y (- 1 z)) t) 1))
(* -1 t)
(* t (- (/ (* (log (- 1 y)) (- z 1)) t) 1))
(* t (- (/ (* (log (- 1 y)) (- z 1)) t) 1))
(* t (- (/ (* (log (- 1 y)) (- z 1)) t) 1))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (* (log (- 1 y)) (- z 1)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (* (log (- 1 y)) (- z 1)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (* (log (- 1 y)) (- z 1)) t)))))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)))))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (* y (- 1 z)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (* y (- 1 z)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (* y (- 1 z)) t)))))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ (* (log (- 1 y)) (- z 1)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (* (log (- 1 y)) (- z 1)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (* (log (- 1 y)) (- z 1)) t)))))
(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(+ (* -1 (log (- 1 y))) (* (log y) (- x 1)))
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))
(+ y (* (log y) (- x 1)))
(+ y (+ (* -1 (* y z)) (* (log y) (- x 1))))
(+ y (+ (* -1 (* y z)) (* (log y) (- x 1))))
(+ y (+ (* -1 (* y z)) (* (log y) (- x 1))))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(+ (* -1 (log (- 1 y))) (* (log y) (- x 1)))
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))
(* z (log (+ 1 y)))
(* z (log (+ 1 y)))
(* z (log (+ 1 y)))
(* z (log (+ 1 y)))
(* y z)
(* y z)
(* y z)
(* y z)
(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(+ (* -1 (log (- 1 y))) (* (log y) (- x 1)))
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))
(+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1))))
(* z (log (+ 1 y)))
(* z (log (+ 1 y)))
(* z (log (+ 1 y)))
(* z (log (+ 1 y)))
(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(- (* -1 (log (- 1 y))) t)
(- (+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) t)
(- (+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) t)
(- (+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) t)
(- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t)
(- y t)
(- (+ y (* -1 (* y z))) t)
(- (+ y (* -1 (* y z))) t)
(- (+ y (* -1 (* y z))) t)
y
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(- (* -1 (log (- 1 y))) t)
(- (+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) t)
(- (+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) t)
(- (+ (* -1 (log (- 1 y))) (* z (log (- 1 y)))) t)
y
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(* z (log (- 1 y)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* z (log (- 1 y)))
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (/ y z) (/ (* (log y) (- x 1)) z))))
(* z (+ (* -1 y) (+ (/ y z) (/ (* (log y) (- x 1)) z))))
(* z (+ (* -1 y) (+ (/ y z) (/ (* (log y) (- x 1)) z))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (log (- 1 y)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* z (log (- 1 y)))
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))
(* z (log (+ 1 y)))
(* z (log (+ 1 y)))
(* z (log (+ 1 y)))
(* z (log (+ 1 y)))
(* y z)
(* y z)
(* y z)
(* y z)
(* z (log (- 1 y)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* z (log (- 1 y)))
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))
(* z (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))))
(* z (log (+ 1 y)))
(* z (log (+ 1 y)))
(* z (log (+ 1 y)))
(* z (log (+ 1 y)))
(* z (log (- 1 y)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* z (log (- 1 y)))
(* z (- (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))) (/ t z)))
(* z (- (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))) (/ t z)))
(* z (- (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))) (/ t z)))
(* z (log (- 1 y)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z)))
(* -1 (* y z))
(* z (- (+ (* -1 y) (/ y z)) (/ t z)))
(* z (- (+ (* -1 y) (/ y z)) (/ t z)))
(* z (- (+ (* -1 y) (/ y z)) (/ t z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
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(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (log.f64 y)) x) (log.f64 y)))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* y (- 1 z))) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (log.f64 y)) x) (log.f64 y)))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* y (- 1 z))) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) y (log.f64 y)) x) (log.f64 y)))
(* x (log y))
(*.f64 x (log.f64 y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (+.f64 (log.f64 y) t))) x) (log.f64 y)) x)
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (+.f64 (log.f64 y) t))) x) (log.f64 y)) x)
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (+.f64 (log.f64 y) t))) x) (log.f64 y)) x)
(* x (log y))
(*.f64 x (log.f64 y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (log.f64 y)) x) (log.f64 y)))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (log.f64 y)) x) (log.f64 y)))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (log.f64 y)) x) (log.f64 y)))
(* x (log y))
(*.f64 x (log.f64 y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (+.f64 (log.f64 y) t))) x) (log.f64 y)) x)
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (+.f64 (log.f64 y) t))) x) (log.f64 y)) x)
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (+.f64 (log.f64 y) t))) x) (log.f64 y)) x)
(* x (log y))
(*.f64 x (log.f64 y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (log.f64 y)) x) (log.f64 y)))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (log.f64 y)) x) (log.f64 y)))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (log.f64 y)) x) (log.f64 y)))
(* x (log y))
(*.f64 x (log.f64 y))
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (+.f64 (log.f64 y) t))) x) (log.f64 y)) x)
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (+.f64 (log.f64 y) t))) x) (log.f64 y)) x)
(* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (neg.f64 (+.f64 (log.f64 y) t))) x) (log.f64 y)) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* (sqrt x) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (log y)))
(*.f64 (neg.f64 x) (log.f64 y))
(* -1 (* x (+ (log y) (* -1 (/ (- (+ (log y) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (neg.f64 x) (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (-.f64 (log.f64 y) t)) x)))
(* -1 (* x (+ (log y) (* -1 (/ (- (+ (log y) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (neg.f64 x) (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (-.f64 (log.f64 y) t)) x)))
(* -1 (* x (+ (log y) (* -1 (/ (- (+ (log y) (* (log (- 1 y)) (- z 1))) t) x)))))
(*.f64 (neg.f64 x) (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (-.f64 (log.f64 y) t)) x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* x (log y))
(*.f64 x (log.f64 y))
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x))))
(*.f64 (-.f64 (log.f64 y) (/.f64 (log.f64 y) x)) x)
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x))))
(*.f64 (-.f64 (log.f64 y) (/.f64 (log.f64 y) x)) x)
(* -1 (* x (+ (* -1 (log y)) (/ (log y) x))))
(*.f64 (-.f64 (log.f64 y) (/.f64 (log.f64 y) x)) x)
(* (sqrt x) (log y))
(*.f64 (sqrt.f64 x) (log.f64 y))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (log y))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (log y))))))
(.f64 (.f64 (log.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (log y))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (log y))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (log y)))))))
(.f64 (fma.f64 (log.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) x)
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (log y))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (log y))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (log y))) (* 1/8 (* (sqrt (/ 1 (pow x 5))) (log y))))))))
(.f64 (fma.f64 (log.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (.f64 (log.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64)))))) x)

rewrite243.0ms (1.9%)

Memory

-30.4MiB live, 376.1MiB allocated

Rules

4 134×	`lower-*.f32`
4 124×	`lower-*.f64`
4 054×	`lower-/.f32`
4 050×	`lower-/.f64`
4 044×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	373
0	84	365
1	359	356
2	2701	350
0	8827	309

Stop Event

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

Counts

25 → 663

Calls

Call 1

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

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

eval345.0ms (2.6%)

Memory: 38.1MiB live, 536.7MiB allocated
Compiler: Compiled 42 833 to 4 222 computations (90.1% saved)

prune94.0ms (0.7%)

Memory

2.6MiB live, 231.4MiB allocated

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	1 719	13	1 732
Fresh	9	11	20
Picked	3	2	5
Done	0	2	2
Total	1 731	28	1 759

Accuracy

100.0%

Counts

1 759 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.1%	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (neg.f64 t)))
	90.3%	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))
	64.9%	(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (*.f64 (neg.f64 z) y))))
	25.6%	(fma.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 y)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)) t)))
	74.4%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (log.f64 y))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))) t)
	73.5%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (+.f64 x #s(literal 1 binary64))))) t)
	25.6%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (log.f64 y))))) t)
	99.7%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (/.f64 (neg.f64 (log.f64 y)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))) t)
	99.6%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (log.f64 y))))) t)
	81.4%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (*.f64 x (log.f64 y))))) t)
	61.3%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))))) t)
	72.2%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
	88.4%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) z) (log.f64 y) (-.f64 (/.f64 y z) y)) z))) t)
	74.9%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (log.f64 y) (-.f64 #s(literal 1 binary64) z)) y))) t)
	88.4%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 y (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) y) z)) (neg.f64 z)))) t)
	44.4%	(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
✓	30.5%	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)) t)
	44.2%	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
✓	44.2%	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
✓	35.5%	(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
	38.4%	#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
	17.7%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
	58.7%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (-.f64 (log.f64 y) #s(approx (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (/.f64 t x))) x))
	22.0%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
✓	35.6%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
	2.1%	#s(approx (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (*.f64 (neg.f64 x) (log.f64 y)))
	73.8%	#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (fma.f64 (log1p.f64 y) (/.f64 (-.f64 z #s(literal 1 binary64)) t) (fma.f64 (log.f64 y) (/.f64 (-.f64 x #s(literal 1 binary64)) t) #s(literal -1 binary64))) t))
	2.7%	#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (log1p.f64 y) z))

Compiler

Compiled 1 420 to 623 computations (56.1% saved)

regimes192.0ms (1.5%)

Memory

-8.2MiB live, 414.8MiB allocated

Counts

62 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (log1p.f64 y) z))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (*.f64 (neg.f64 x) (log.f64 y)))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))))) t)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (*.f64 (neg.f64 z) y))))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (*.f64 x (log.f64 y))))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (-.f64 (log.f64 y) #s(approx (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (/.f64 t x))) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)) t)))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t)))
(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (log.f64 y) (-.f64 #s(literal 1 binary64) z)) y))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 y (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) y) z)) (neg.f64 z)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (+.f64 x #s(literal 1 binary64))))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (/.f64 (neg.f64 (log.f64 y)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))) t)
(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) z) (log.f64 y) (-.f64 (/.f64 y z) y)) z))) t)
(fma.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 y)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)) t)))
(fma.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 y)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) t)))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (log.f64 y))))) t)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))
(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (-.f64 (log.f64 y) (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)))) x)) x))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (log.f64 y))))) t)
(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
(-.f64 (+.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (-.f64 x #s(literal -1 binary64))) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t)))))
#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (fma.f64 (log1p.f64 y) (/.f64 (-.f64 z #s(literal 1 binary64)) t) (fma.f64 (log.f64 y) (/.f64 (-.f64 x #s(literal 1 binary64)) t) #s(literal -1 binary64))) t))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 (fma.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) t) (log1p.f64 (neg.f64 y)) (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) t) (log.f64 y) #s(literal -1 binary64))) t))
(fma.f64 (/.f64 (log.f64 y) (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (log.f64 y)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) t)))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (log.f64 y))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (-.f64 (log.f64 y) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)) (+.f64 (log.f64 y) t)) x)) x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 y)) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) t)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (log.f64 y))) (*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
(fma.f64 (/.f64 (log.f64 y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y) (neg.f64 t)))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) #s(approx (* (- (log y) (/ (+ (* (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) x) (*.f64 (fma.f64 (-.f64 (-.f64 (log.f64 y) (/.f64 (+.f64 t (log.f64 y)) x)) (/.f64 (log1p.f64 (neg.f64 y)) x)) (/.f64 x z) (log1p.f64 (neg.f64 y))) z)))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 x #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 y)))) #s(literal -2 binary64))) x) (+.f64 (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 y))) x) (log.f64 y))))
(fma.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)))) (.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))) (pow.f64 (fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 (neg.f64 y)))) #s(literal -1 binary64))) (neg.f64 t))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 y)))) #s(literal -3 binary64))) x) (fma.f64 (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (.f64 (neg.f64 z) (log1p.f64 y))) x) (+.f64 (/.f64 #s(approx (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) (*.f64 (neg.f64 z) (log1p.f64 y))) x) (log.f64 y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (log.f64 y)) (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (neg.f64 t) (-.f64 (neg.f64 t) (.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y))) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 y)) #s(literal 2 binary64)))))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (+.f64 t (log.f64 y))) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (+.f64 t (log.f64 y))) x) (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (log1p.f64 y) (+.f64 t (log.f64 y))) x) (log.f64 y)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) x))

Outputs
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))

Calls

8 calls:

42.0ms	z
32.0ms	y
21.0ms	t
19.0ms	x
19.0ms	(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))

Results

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

Compiler

Compiled 42 to 55 computations (-31% saved)

regimes104.0ms (0.8%)

Memory

-4.4MiB live, 269.3MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (log1p.f64 y) z))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (*.f64 (neg.f64 x) (log.f64 y)))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))))) t)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (*.f64 (neg.f64 z) y))))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (*.f64 x (log.f64 y))))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (-.f64 (log.f64 y) #s(approx (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (/.f64 t x))) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)) t)))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t)))
(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (log.f64 y) (-.f64 #s(literal 1 binary64) z)) y))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 y (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) y) z)) (neg.f64 z)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (log.f64 y)) (+.f64 x #s(literal 1 binary64))))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (/.f64 (neg.f64 (log.f64 y)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))) t)
(-.f64 (+.f64 (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(approx (log (- 1 y)) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) z) (log.f64 y) (-.f64 (/.f64 y z) y)) z))) t)
(fma.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 y)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)) t)))
(fma.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 y)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) t)))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (log.f64 y))))) t)

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

Calls

8 calls:

15.0ms	t
13.0ms	(-.f64 z #s(literal 1 binary64))
13.0ms	y
13.0ms	(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
13.0ms	(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))

Results

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

Compiler

Compiled 42 to 55 computations (-31% saved)

regimes77.0ms (0.6%)

Memory

5.3MiB live, 200.1MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (log1p.f64 y) z))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (*.f64 (neg.f64 x) (log.f64 y)))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))))) t)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (*.f64 (neg.f64 z) y))))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (*.f64 x (log.f64 y))))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (-.f64 (log.f64 y) #s(approx (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (/.f64 t x))) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)) t)))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t)

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

Calls

8 calls:

12.0ms	(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
10.0ms	z
10.0ms	x
10.0ms	t
9.0ms	(-.f64 z #s(literal 1 binary64))

Results

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

Compiler

Compiled 42 to 55 computations (-31% saved)

regimes96.0ms (0.7%)

Memory

-20.4MiB live, 264.7MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (log1p.f64 y) z))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (*.f64 (neg.f64 x) (log.f64 y)))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))))) t)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (*.f64 (neg.f64 z) y))))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (*.f64 x (log.f64 y))))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (-.f64 (log.f64 y) #s(approx (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (/.f64 t x))) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)) t)))

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

Calls

8 calls:

25.0ms	(-.f64 z #s(literal 1 binary64))
14.0ms	y
11.0ms	(-.f64 x #s(literal 1 binary64))
9.0ms	x
9.0ms	(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`t`
99.6%	1	`(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
99.6%	1	`(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))`
99.6%	1	`(-.f64 x #s(literal 1 binary64))`
99.6%	1	`(-.f64 z #s(literal 1 binary64))`

Compiler

Compiled 42 to 55 computations (-31% saved)

regimes65.0ms (0.5%)

Memory

33.3MiB live, 192.8MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (log1p.f64 y) z))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (*.f64 (neg.f64 x) (log.f64 y)))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))))) t)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (*.f64 (neg.f64 z) y))))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (*.f64 x (log.f64 y))))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (-.f64 (log.f64 y) #s(approx (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x) (/.f64 t x))) x))

Outputs

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

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

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

Calls

8 calls:

9.0ms	(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
9.0ms	t
8.0ms	y
8.0ms	(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
8.0ms	(-.f64 z #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.1%	3	`x`
93.5%	3	`y`
96.7%	3	`z`
98.8%	3	`t`
98.4%	3	`(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
98.1%	3	`(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))`
98.1%	3	`(-.f64 x #s(literal 1 binary64))`
96.7%	3	`(-.f64 z #s(literal 1 binary64))`

Compiler

Compiled 42 to 55 computations (-31% saved)

regimes19.0ms (0.1%)

Memory

-37.0MiB live, 43.1MiB allocated

Counts

23 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (log1p.f64 y) z))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (*.f64 (neg.f64 x) (log.f64 y)))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))))) t)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (*.f64 (neg.f64 z) y))))

Outputs

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

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

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

Calls

2 calls:

7.0ms	(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
7.0ms	t

Results

Accuracy	Segments	Branch
96.7%	3	`(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
98.1%	3	`t`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes49.0ms (0.4%)

Memory

14.5MiB live, 54.0MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (log1p.f64 y) z))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (*.f64 (neg.f64 x) (log.f64 y)))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))))) t)

Outputs

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

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

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

Calls

4 calls:

27.0ms	(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
7.0ms	x
7.0ms	t
6.0ms	(-.f64 x #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
97.4%	3	`x`
96.2%	3	`(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))`
97.4%	3	`(-.f64 x #s(literal 1 binary64))`
90.3%	1	`t`

Compiler

Compiled 20 to 27 computations (-35% saved)

regimes116.0ms (0.9%)

Memory

-7.1MiB live, 71.8MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (log1p.f64 y) z))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (*.f64 (neg.f64 x) (log.f64 y)))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))

Outputs

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

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

Calls

6 calls:

64.0ms	(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
24.0ms	(-.f64 z #s(literal 1 binary64))
7.0ms	(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
7.0ms	z
7.0ms	x

Results

Accuracy	Segments	Branch
90.3%	1	`(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))`
90.3%	1	`(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
93.7%	2	`z`
93.7%	2	`(-.f64 z #s(literal 1 binary64))`
90.3%	1	`x`
90.3%	1	`(-.f64 x #s(literal 1 binary64))`

Compiler

Compiled 40 to 47 computations (-17.5% saved)

regimes13.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (log1p.f64 y) z))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (*.f64 (neg.f64 x) (log.f64 y)))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (neg.f64 t)))

Outputs

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

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

Calls

2 calls:

6.0ms	z
6.0ms	(-.f64 z #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
93.5%	2	`z`
93.5%	2	`(-.f64 z #s(literal 1 binary64))`

Compiler

Compiled 4 to 10 computations (-150% saved)

regimes66.0ms (0.5%)

Memory

-19.5MiB live, 68.3MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (log1p.f64 y) z))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (*.f64 (neg.f64 x) (log.f64 y)))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 y)) (log.f64 y)) z)) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log1p.f64 y) z)) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z (log1p.f64 (neg.f64 y)))) t)

Outputs

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

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

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

Calls

8 calls:

20.0ms	(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
10.0ms	z
6.0ms	(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
6.0ms	t
6.0ms	y

Results

Accuracy	Segments	Branch
78.7%	3	`(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))`
79.1%	3	`x`
78.3%	3	`(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
72.2%	1	`t`
79.1%	3	`(-.f64 x #s(literal 1 binary64))`
72.2%	1	`y`
75.6%	2	`z`
75.6%	2	`(-.f64 z #s(literal 1 binary64))`

Compiler

Compiled 42 to 55 computations (-31% saved)

regimes77.0ms (0.6%)

Memory

18.6MiB live, 56.4MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (log1p.f64 y) z))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
#s(approx (+ (* (/ (sqrt (- x 1)) -1) (/ (neg (log y)) (pow (- x 1) -1/2))) (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t))) (*.f64 (neg.f64 x) (log.f64 y)))
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))
#s(approx (- (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) t) (*.f64 z (log1p.f64 (neg.f64 y))))

Outputs

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

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

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

Calls

8 calls:

44.0ms	(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
5.0ms	(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
5.0ms	z
4.0ms	x
4.0ms	t

Results

Accuracy	Segments	Branch
47.1%	2	`y`
62.4%	3	`t`
50.0%	3	`(-.f64 z #s(literal 1 binary64))`
53.2%	5	`z`
50.3%	3	`(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
69.7%	3	`(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))`
70.4%	3	`(-.f64 x #s(literal 1 binary64))`
70.4%	3	`x`

Compiler

Compiled 42 to 55 computations (-31% saved)

regimes30.0ms (0.2%)

Memory

4.0MiB live, 42.7MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) #s(approx (* (log (+ 1 y)) z) (*.f64 z y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 #s(approx (- (log y) (/ (+ ( (- 1 z) (log (+ 1 (neg y)))) (+ (log y) t)) x)) (/.f64 (neg.f64 t) x)) x))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 z #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
#s(approx (+ (* (/ (log y) (pow (- x 1) -1/2)) (/ 1 (pow (- x 1) -1/2))) (+ (* (- z 1) (log (+ 1 y))) (neg t))) (*.f64 (log1p.f64 y) z))

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
44.4%	1	`y`
44.4%	1	`(-.f64 z #s(literal 1 binary64))`
44.4%	1	`z`
44.4%	1	`(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
44.4%	1	`t`
44.4%	1	`(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))`
44.4%	1	`x`
44.4%	1	`(-.f64 x #s(literal 1 binary64))`

Compiler

Compiled 42 to 55 computations (-31% saved)

regimes96.0ms (0.7%)

Memory

-15.7MiB live, 27.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

8 calls:

82.0ms	(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
2.0ms	(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
2.0ms	y
2.0ms	x
2.0ms	t

Results

Accuracy	Segments	Branch
44.2%	1	`(-.f64 z #s(literal 1 binary64))`
44.2%	1	`z`
44.2%	1	`(-.f64 x #s(literal 1 binary64))`
44.2%	1	`x`
44.2%	1	`t`
44.2%	1	`(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))`
44.2%	1	`(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
44.2%	1	`y`

Compiler

Compiled 42 to 55 computations (-31% saved)

regimes90.0ms (0.7%)

Memory

-14.1MiB live, 24.9MiB allocated

Accuracy

Total -0.2b remaining (-0.6%)

Threshold costs -0.2b (-0.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

78.0ms	(-.f64 z #s(literal 1 binary64))
2.0ms	(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
2.0ms	z
2.0ms	(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
2.0ms	t

Results

Accuracy	Segments	Branch
35.6%	1	`x`
35.6%	1	`z`
35.6%	1	`(-.f64 z #s(literal 1 binary64))`
35.6%	1	`t`
35.6%	1	`(-.f64 x #s(literal 1 binary64))`
35.6%	1	`y`
35.6%	1	`(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))))`
35.6%	1	`(-.f64 (+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)) (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`

Compiler

Compiled 42 to 55 computations (-31% saved)

bsearch195.0ms (1.5%)

Memory

18.0MiB live, 96.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
151.0ms	8.472708518715236e-35	2.999488528289514e-27
40.0ms	-1593447299789603.3	-425190621.35334736

Samples

159.0ms	77×	1	valid
22.0ms	147×	0	valid

Compiler

Compiled 360 to 380 computations (-5.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-log: 18.0ms (56.4% of total)

ival-sub: 6.0ms (18.8% of total)

ival-mult: 4.0ms (12.5% of total)

adjust: 3.0ms (9.4% of total)

ival-add: 1.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch163.0ms (1.3%)

Memory

-7.1MiB live, 34.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.472708518715236e-35	2.999488528289514e-27
160.0ms	-1.1903761180505394e-11	-2.583136107944524e-14

Samples

147.0ms	42×	1	valid
8.0ms	86×	0	valid

Compiler

Compiled 303 to 338 computations (-11.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-sub: 135.0ms (89.6% of total)

ival-log: 11.0ms (7.3% of total)

ival-mult: 2.0ms (1.3% of total)

adjust: 1.0ms (0.7% of total)

ival-add: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999999999	-0.9999999999999394
0.0ms	-1.0000034938282278	-1.0000000000275602

Compiler

Compiled 20 to 22 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.33462900726378e+206	5.79456124546612e+207

Compiler

Compiled 20 to 22 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.33462900726378e+206	5.79456124546612e+207

Compiler

Compiled 20 to 22 computations (-10% saved)

bsearch172.0ms (1.3%)

Memory

17.0MiB live, 53.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.17766355127277395	21.38150925177509
144.0ms	-3.4938282277967975e-6	-2.7560125597143798e-11

Samples

28.0ms	86×	1	valid
16.0ms	170×	0	valid

Compiler

Compiled 276 to 341 computations (-23.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-log: 20.0ms (57.2% of total)

ival-sub: 6.0ms (17.1% of total)

ival-mult: 4.0ms (11.4% of total)

adjust: 3.0ms (8.6% of total)

ival-add: 1.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5437898495082647.0	1016135029672302200.0
0.0ms	-3.7094751632364184e+64	-1.3281634288650214e+62

Compiler

Compiled 20 to 22 computations (-10% saved)

simplify147.0ms (1.1%)

Memory

2.4MiB live, 39.2MiB allocated

Algorithm

1×	egg-herbie

Rules

66×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
40×	`+-commutative-binary64-+.f64`
36×	`sub-neg-binary64-neg.f64-+.f64--.f64`
34×	`neg-mul-1-binary64-*.f64-neg.f64`
24×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	798
1	143	798
2	170	798
3	185	798
4	209	798
5	263	798

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t)))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)) t)))
(if (<=.f64 t #s(literal -430000000 binary64)) (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (.f64 x (log.f64 y))))) t) (if (<=.f64 t #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (.f64 (neg.f64 z) y)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))))
(if (<=.f64 t #s(literal -5942112188569825/4951760157141521099596496896 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t))) (if (<=.f64 t #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (.f64 (neg.f64 z) y)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))))
(if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -4503608634569751/4503599627370496 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t))) (if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -4503599627370271/4503599627370496 binary64)) (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))))
(if (<=.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 200000000000000007778715510217677686261474498590404026668604764015382588578769793526159931215755402774652920623882426582706341222818875123308036734442537880708869172525233887089132911615311892438644481327104 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t)))) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t))
(if (<=.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 200000000000000007778715510217677686261474498590404026668604764015382588578769793526159931215755402774652920623882426582706341222818875123308036734442537880708869172525233887089132911615311892438644481327104 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t))) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t))
(if (<=.f64 x #s(literal -7839128361563611/4722366482869645213696 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 x (log.f64 y))) t) (if (<=.f64 x #s(literal 23/2 binary64)) (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) ( (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (.f64 (-.f64 #s(literal 1 binary64) z) y))) t) (-.f64 #s(approx (+ ( (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)))
(if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -20000000000000000426408380189087937446025157425359298935486676992 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 x (log.f64 y))) (if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 10000000000000000 binary64)) (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) ( (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (.f64 (-.f64 #s(literal 1 binary64) z) y))) t) #s(approx (- (+ ( (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))

Outputs
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 z #s(literal 1 binary64)) (neg.f64 t)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) t)))
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64))))) t)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) (-.f64 #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)) t)))
(if (<=.f64 t #s(literal -430000000 binary64)) (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (.f64 x (log.f64 y))))) t) (if (<=.f64 t #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (.f64 (neg.f64 z) y)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))))
(if (<=.f64 t #s(literal -430000000 binary64)) (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (.f64 (log.f64 y) x)))) t) (if (<=.f64 t #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (.f64 (neg.f64 z) y)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))))
(if (<=.f64 t #s(literal -5942112188569825/4951760157141521099596496896 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t))) (if (<=.f64 t #s(literal 348449143727041/174224571863520493293247799005065324265472 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (.f64 (neg.f64 z) y)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ ( (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))))
(if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -4503608634569751/4503599627370496 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t))) (if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -4503599627370271/4503599627370496 binary64)) (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (* (- x 1) (log y)) (neg.f64 (log.f64 y))))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t))))))
(if (<=.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 200000000000000007778715510217677686261474498590404026668604764015382588578769793526159931215755402774652920623882426582706341222818875123308036734442537880708869172525233887089132911615311892438644481327104 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t)))) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t))
(if (<=.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 200000000000000007778715510217677686261474498590404026668604764015382588578769793526159931215755402774652920623882426582706341222818875123308036734442537880708869172525233887089132911615311892438644481327104 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (neg t)) #s(approx (- (* (- 1 z) y) t) (-.f64 y t)))) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t))
(if (<=.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 200000000000000007778715510217677686261474498590404026668604764015382588578769793526159931215755402774652920623882426582706341222818875123308036734442537880708869172525233887089132911615311892438644481327104 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t))) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t))
(if (<=.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 200000000000000007778715510217677686261474498590404026668604764015382588578769793526159931215755402774652920623882426582706341222818875123308036734442537880708869172525233887089132911615311892438644481327104 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t))) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t))
(if (<=.f64 x #s(literal -7839128361563611/4722366482869645213696 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 x (log.f64 y))) t) (if (<=.f64 x #s(literal 23/2 binary64)) (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) ( (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (.f64 (-.f64 #s(literal 1 binary64) z) y))) t) (-.f64 #s(approx (+ ( (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 x (log.f64 y))) t)))
(if (<=.f64 x #s(literal -7839128361563611/4722366482869645213696 binary64)) (-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (.f64 (log.f64 y) x)) t) (if (<=.f64 x #s(literal 23/2 binary64)) (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) ( (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (.f64 (-.f64 #s(literal 1 binary64) z) y))) t) (-.f64 #s(approx (+ ( (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 (log.f64 y) x)) t)))
(if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -20000000000000000426408380189087937446025157425359298935486676992 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 x (log.f64 y))) (if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 10000000000000000 binary64)) (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) ( (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (.f64 (-.f64 #s(literal 1 binary64) z) y))) t) #s(approx (- (+ ( (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))))
(if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -20000000000000000426408380189087937446025157425359298935486676992 binary64)) #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (.f64 (log.f64 y) x)) (if (<=.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 10000000000000000 binary64)) (-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) ( (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (.f64 (-.f64 #s(literal 1 binary64) z) y))) t) #s(approx (- (+ ( (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 (log.f64 y) x))))
(-.f64 #s(approx (+ (/ (log y) (/ 1 (- x 1))) (* (- z 1) (log (- 1 y)))) #s(approx (+ (* (- 1 z) y) (* (- x 1) (log y))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y)))) t)
(-.f64 #s(approx (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) t)
#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))

soundness1.3s (10%)

Memory

-18.2MiB live, 1 058.3MiB allocated

Rules

15 968×	`lower-fma.f64`
15 968×	`lower-fma.f32`
12 368×	`lower-fma.f64`
12 368×	`lower-fma.f32`
12 112×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	656	12288
1	2112	11463
2	6963	11213
0	8467	10300
0	14	42
0	23	42
1	95	42
2	757	42
0	8471	37
0	559	11404
1	1771	10557
2	5662	10244
0	8247	9403
0	209	2093
1	637	1954
2	1931	1848
3	6875	1835
0	8578	1687
0	1064	14215
1	3399	13243
0	8493	12143

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

Compiler

Compiled 1 022 to 633 computations (38.1% saved)

preprocess171.0ms (1.3%)

Memory: -2.7MiB live, 155.0MiB allocated
Compiler: Compiled 664 to 206 computations (69% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze85.0ms (0.7%)

sample2.8s (21.5%)

explain701.0ms (5.4%)

preprocess184.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify141.0ms (1.1%)

localize170.0ms (1.3%)

series147.0ms (1.1%)

simplify183.0ms (1.4%)

rewrite237.0ms (1.8%)

eval75.0ms (0.6%)

prune23.0ms (0.2%)

simplify155.0ms (1.2%)

localize215.0ms (1.6%)

series219.0ms (1.7%)

simplify200.0ms (1.5%)

rewrite206.0ms (1.6%)

eval227.0ms (1.7%)

prune162.0ms (1.2%)

simplify189.0ms (1.5%)

localize182.0ms (1.4%)

series438.0ms (3.4%)

simplify368.0ms (2.8%)

rewrite304.0ms (2.3%)

eval317.0ms (2.4%)

prune369.0ms (2.8%)

simplify202.0ms (1.5%)

localize218.0ms (1.7%)

series205.0ms (1.6%)

simplify190.0ms (1.5%)

rewrite243.0ms (1.9%)

eval345.0ms (2.6%)

prune94.0ms (0.7%)

regimes192.0ms (1.5%)

regimes104.0ms (0.8%)

regimes77.0ms (0.6%)

regimes96.0ms (0.7%)

regimes65.0ms (0.5%)

regimes19.0ms (0.1%)

regimes49.0ms (0.4%)

regimes116.0ms (0.9%)

regimes13.0ms (0.1%)

regimes66.0ms (0.5%)

regimes77.0ms (0.6%)

regimes30.0ms (0.2%)

regimes96.0ms (0.7%)

regimes90.0ms (0.7%)

bsearch195.0ms (1.5%)

bsearch163.0ms (1.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch172.0ms (1.3%)

bsearch1.0ms (0%)

simplify147.0ms (1.1%)

soundness1.3s (10%)

preprocess171.0ms (1.3%)

end0.0ms (0%)

Profiling