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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze144.0ms (2.4%)

Memory

11.6MiB live, 123.0MiB 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)

sample2.2s (37.3%)

Memory

-9.5MiB live, 2 060.0MiB allocated

Samples

906.0ms	1 985×	1	valid
688.0ms	6 019×	0	valid
1.0ms	7×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-log: 698.0ms (59.8% of total)

ival-sub: 194.0ms (16.6% of total)

ival-mult: 127.0ms (10.9% of total)

adjust: 89.0ms (7.6% of total)

ival-add: 43.0ms (3.7% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain5.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(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	4	0

Confusion

	Predicted +	Predicted -
+	0	0
-	4	0

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	4	0	0

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
1	4

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

2.0ms	6×	1	valid
1.0ms	2×	2	valid

Compiler

Compiled 219 to 60 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-log: 1.0ms (47.6% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

preprocess256.0ms (4.3%)

Memory

8.0MiB live, 93.6MiB allocated

Algorithm

1×	egg-herbie

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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.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)

simplify164.0ms (2.7%)

Memory

-1.1MiB live, 73.0MiB 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))))

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

localize2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y)))
accuracy	0	(log.f64 y)
accuracy	0.25	(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))
accuracy	60.38896049524751	(log.f64 (-.f64 #s(literal 1 binary64) y))

Samples

1.0ms	3×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 134 to 30 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-log: 1.0ms (87.3% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series147.0ms (2.4%)

Memory

-1.4MiB live, 203.5MiB allocated

Counts

6 → 156

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>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) y))) (patch (.f64 (-.f64 z #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) 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>) () ())) ())
#s(alt (- (+ (* -1 (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 (log y)) (taylor 0 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 (log y)) (* x (log y))) (taylor 0 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 (log y)) (* x (log y))) (taylor 0 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 (log y)) (* x (log y))) (taylor 0 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 (* x (log y)) (taylor inf x) (#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 (* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) (taylor inf x) (#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 (* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) (taylor inf x) (#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 (* x (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x)))) (taylor inf x) (#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 (* x (log y)) (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) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ 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) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ 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) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ 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 (* x (+ (log y) (* -1 (/ (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 (* x (+ (log y) (* -1 (/ (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 (* x (+ (log y) (* -1 (/ (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 (* x (log y)) (taylor -inf x) (#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 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) (taylor -inf x) (#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 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) (taylor -inf x) (#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 (* x (+ (* -1 (log y)) (* -1 (/ (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) x))))) (taylor -inf x) (#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 (* x (log y)) (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 (* -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 (* -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 (* -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
45.0ms	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)) (log y) (* (- z 1) (log (- 1 y))))
27.0ms	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)) (log y) (* (- z 1) (log (- 1 y))))
24.0ms	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)) (log y) (* (- z 1) (log (- 1 y))))
13.0ms	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)) (log y) (* (- z 1) (log (- 1 y))))
9.0ms	x	@	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)) (log y) (* (- z 1) (log (- 1 y))))

simplify240.0ms (4%)

Memory

-33.9MiB live, 191.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	2515
1	700	2335
2	2128	2193
3	7406	2193
0	8633	2034

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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)
(* -1 (log (- 1 y)))
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))
(+ (* -1 (log (- 1 y))) (* z (log (- 1 y))))
(+ (* -1 (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))))
(* 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)))
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) 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)))))
(* z (log (- 1 y)))
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) z))))
(* -1 (* z (+ (* -1 (log (- 1 y))) (/ (log (- 1 y)) 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))
(log y)
(log y)
(log y)
(log y)
(* -1 (* y (- z 1)))
(* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1)))))
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1)))))))
(* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* y (+ (* -1/3 (- z 1)) (* -1/4 (* y (- z 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)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))
(+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))
(+ (* -1 (/ (- z 1) y)) (+ (* -1/2 (/ (- z 1) (pow y 2))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 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)))))
(+ (* -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))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(* -1 (* (log (/ -1 y)) (- z 1)))
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- z 1) y)))
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)))
(+ (* -1 (* (log (/ -1 y)) (- z 1))) (* -1 (/ (- (+ z (* -1 (/ (+ (* -1/2 (- z 1)) (* -1/3 (/ (- z 1) y))) y))) 1) y)))
(+ (* -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
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(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
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(* -1 t)
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(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(*.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)
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
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(* -1 (log (- 1 y)))
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(*.f64 z (log1p.f64 (neg.f64 y)))
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))
(*.f64 (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z)) z)
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(*.f64 (-.f64 (log1p.f64 (neg.f64 y)) (/.f64 (log1p.f64 (neg.f64 y)) z)) z)
(* z (+ (log (- 1 y)) (* -1 (/ (log (- 1 y)) z))))
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(* (log y) (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))
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(* -1 y)
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(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)
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rewrite209.0ms (3.5%)

Memory

24.4MiB live, 214.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
0	23	52
1	95	52
2	757	52
0	8471	46

Stop Event

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

Counts

6 → 488

Calls

Call 1

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

Outputs
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eval19.0ms (0.3%)

Memory: -2.3MiB live, 34.6MiB allocated
Compiler: Compiled 21 341 to 1 866 computations (91.3% saved)

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	641	3	644
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	642	3	645

Accuracy

100.0%

Counts

645 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)))))
▶	25.9%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
▶	75.4%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))

Status

Accuracy

Program

▶

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)))))

▶

25.9%

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

▶

75.4%

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

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify185.0ms (3.1%)

Memory

-21.7MiB live, 63.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 (neg.f64 y))
cost-diff	0	(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)))
cost-diff	128	(/.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))))
cost-diff	1280	(/.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)))))
cost-diff	0	(log.f64 y)
cost-diff	0	(*.f64 x (log.f64 y))
cost-diff	0	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
cost-diff	0	(neg.f64 t)
cost-diff	0	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	132
0	40	124
1	72	124
2	127	124
3	310	124
4	699	124
5	1604	124
6	3441	124
7	4853	124
8	5151	124
9	5185	124
10	5185	124
11	5220	124
12	5225	124
13	5225	124
14	5249	124
15	5249	124
0	5249	123

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(log1p.f64 (neg.f64 y))
accuracy	0	(log.f64 y)
accuracy	0.25	(fma.f64 (log.f64 y) (-.f64 x #s(literal 1 binary64)) (neg.f64 t))
accuracy	0.25	(/.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)))))
accuracy	0	(log.f64 y)
accuracy	0.5	(*.f64 x (log.f64 y))
accuracy	47.161538851681684	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
accuracy	0	(neg.f64 t)
accuracy	15.772061828291895	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))

Samples

1.0ms

4×

valid

Compiler

Compiled 239 to 44 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

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

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

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

ival-log1p: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series164.0ms (2.7%)

Memory

-1.1MiB live, 224.7MiB allocated

Counts

10 → 336

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
57.0ms	x	@	0	((- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (* x (log y)) (log y) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t)))) (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (log (+ 1 (neg y))) (+ (* (log y) (- x 1)) (neg t)))
20.0ms	y	@	-inf	((- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (* x (log y)) (log y) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t)))) (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (log (+ 1 (neg y))) (+ (* (log y) (- x 1)) (neg t)))
16.0ms	z	@	inf	((- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (* x (log y)) (log y) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t)))) (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (log (+ 1 (neg y))) (+ (* (log y) (- x 1)) (neg t)))
13.0ms	x	@	-inf	((- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (* x (log y)) (log y) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t)))) (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (log (+ 1 (neg y))) (+ (* (log y) (- x 1)) (neg t)))
9.0ms	y	@	inf	((- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (* x (log y)) (log y) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t)))) (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (log (+ 1 (neg y))) (+ (* (log y) (- x 1)) (neg t)))

simplify484.0ms (8%)

Memory

8.6MiB live, 223.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	543	8359
1	1715	7901
2	5844	7702
0	8186	7174

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

Outputs
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(+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))))
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(+.f64 (/.f64 t (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y)))))
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(* (log y) (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))
(+ (* -1 t) (* (log y) (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t))
(+ (* -1 t) (* (log y) (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y) (neg.f64 t))
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(* -1 t)
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(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(*.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)
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(*.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)
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
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(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
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(*.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)
(* -1 t)
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(*.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)
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(*.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)
(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
(*.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)
(/ -1 t)
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(/ (- (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t)) 1) t)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))) t)) t)
(/ (- (* -1 (/ (pow (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) 2) (pow t 2))) (+ 1 (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)))) t)
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) t) (log1p.f64 (neg.f64 y)) (.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) t) (log.f64 y)))) (/.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))) #s(literal 2 binary64)) (*.f64 t t))) t)
(/ (- (* -1 (/ (pow (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) 3) (pow t 3))) (+ 1 (+ (/ (* (log y) (- x 1)) t) (+ (/ (* (log (- 1 y)) (- z 1)) t) (/ (pow (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) 2) (pow t 2)))))) t)
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) t) (log.f64 y) (fma.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) t) (log1p.f64 (neg.f64 y)) (/.f64 (pow.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))) #s(literal 2 binary64)) (.f64 t t))))) (pow.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (log1p.f64 (neg.f64 y)) (*.f64 (-.f64 x #s(literal 1 binary64)) (log.f64 y))) t) #s(literal 3 binary64))) t)
(* -1 t)
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(* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1))
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rewrite300.0ms (5%)

Memory

-10.3MiB live, 217.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	112
0	40	104
1	185	104
2	1359	104
0	8399	98

Stop Event

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

Counts

10 → 906

Calls

Call 1

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

Outputs
#<batchref>
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eval56.0ms (0.9%)

Memory: 32.2MiB live, 68.7MiB allocated
Compiler: Compiled 51 352 to 3 160 computations (93.8% saved)

prune2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1 283	2	1 285
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	1 284	4	1 288

Accuracy

100.0%

Counts

1 288 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (*.f64 x (log.f64 y)))))
▶	1.6%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) (neg.f64 t)))
✓	25.9%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
✓	75.4%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))

Compiler

Compiled 31 to 35 computations (-12.9% saved)

simplify128.0ms (2.1%)

Memory

-12.6MiB live, 69.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x (log.f64 y))
cost-diff	0	#s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (*.f64 x (log.f64 y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (*.f64 x (log.f64 y))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (*.f64 x (log.f64 y)))))
cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))
cost-diff	320	(*.f64 #s(literal 0 binary64) t)
cost-diff	320	(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) (neg.f64 t))
cost-diff	1024	(/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	162
0	47	114
1	94	109
2	137	109
3	311	109
4	710	109
5	1662	109
6	2668	109
7	3474	109
8	3622	109
9	3640	109
10	3645	109
11	3761	109
12	3761	109
13	3761	109
0	3761	101

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 y)
accuracy	0.25	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (*.f64 x (log.f64 y)))))
accuracy	0.5	(*.f64 x (log.f64 y))
accuracy	47.161538851681684	#s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (*.f64 x (log.f64 y)))
accuracy	0	(+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))
accuracy	0	(*.f64 #s(literal 0 binary64) t)
accuracy	0	(neg.f64 t)
accuracy	62.98393970943209	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) (neg.f64 t)))

Samples

1.0ms

4×

valid

Compiler

Compiled 227 to 51 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

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

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

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

ival-log1p: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series121.0ms (2%)

Memory

-15.6MiB live, 155.7MiB allocated

Counts

11 → 288

Calls

Call 1

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

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

12 calls:

Time	Variable		Point	Expression
30.0ms	y	@	inf	((/ 0 (+ 0 (+ (* t t) (* 0 t)))) (- (/ 0 (+ 0 (+ (* t t) (* 0 t)))) (neg t)) (* 0 t) (+ 0 (+ (* t t) (* 0 t))) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t)))) (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (* x (log y)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (log y))
11.0ms	x	@	0	((/ 0 (+ 0 (+ (* t t) (* 0 t)))) (- (/ 0 (+ 0 (+ (* t t) (* 0 t)))) (neg t)) (* 0 t) (+ 0 (+ (* t t) (* 0 t))) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t)))) (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (* x (log y)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (log y))
8.0ms	x	@	inf	((/ 0 (+ 0 (+ (* t t) (* 0 t)))) (- (/ 0 (+ 0 (+ (* t t) (* 0 t)))) (neg t)) (* 0 t) (+ 0 (+ (* t t) (* 0 t))) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t)))) (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (* x (log y)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (log y))
8.0ms	x	@	-inf	((/ 0 (+ 0 (+ (* t t) (* 0 t)))) (- (/ 0 (+ 0 (+ (* t t) (* 0 t)))) (neg t)) (* 0 t) (+ 0 (+ (* t t) (* 0 t))) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t)))) (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (* x (log y)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (log y))
8.0ms	y	@	-inf	((/ 0 (+ 0 (+ (* t t) (* 0 t)))) (- (/ 0 (+ 0 (+ (* t t) (* 0 t)))) (neg t)) (* 0 t) (+ 0 (+ (* t t) (* 0 t))) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t)))) (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (* x (log y)) (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg t) (log y))

simplify213.0ms (3.5%)

Memory

23.1MiB live, 249.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	485	6956
1	1544	6568
2	5385	6394
0	8376	5954

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 276

Calls

Call 1

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

rewrite176.0ms (2.9%)

Memory

-4.5MiB live, 200.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	151
0	47	106
1	260	102
2	1911	100
0	9930	84

Stop Event

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

Counts

11 → 367

Calls

Call 1

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

Outputs
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eval67.0ms (1.1%)

Memory: -18.9MiB live, 19.3MiB allocated
Compiler: Compiled 12 659 to 1 563 computations (87.7% saved)

prune1.0ms (0%)

Memory

2.7MiB live, 2.6MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	642	1	643
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	643	4	647

Accuracy

100.0%

Counts

647 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (*.f64 x (log.f64 y)))))
✓	25.9%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
✓	75.4%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
▶	1.6%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t)

Compiler

Compiled 19 to 28 computations (-47.4% saved)

simplify131.0ms (2.2%)

Memory

14.4MiB live, 52.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	20
0	15	20
1	30	20
2	56	20
3	132	20
4	290	20
5	811	20
6	2347	20
7	3503	20
8	3867	20
9	3913	20
10	3913	20
11	4296	20
12	4389	20
13	4389	20
14	4391	20
0	4391	18

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

localize1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	62.98393970943209	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t)

Samples

0.0ms

4×

valid

Compiler

Compiled 23 to 21 computations (8.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.7%)

Memory

-20.9MiB live, 61.7MiB allocated

Counts

1 → 48

Calls

Call 1

Inputs
#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())

Outputs
#s(alt (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) (taylor 0 t) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) (taylor 0 t) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) (taylor 0 t) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1)))) (taylor 0 t) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor inf t) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) (taylor inf t) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) (taylor inf t) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ (/ (* (log y) (- x 1)) t) (/ (* (log (- 1 y)) (- z 1)) t)) 1)) (taylor inf t) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor -inf t) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) (taylor -inf t) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) (taylor -inf t) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (+ 1 (* -1 (/ (+ (* (log y) (- x 1)) (* (log (- 1 y)) (- z 1))) t))))) (taylor -inf t) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) (taylor 0 z) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) (taylor 0 z) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) (taylor 0 z) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (- 1 y))) (+ (* z (log (- 1 y))) (* (log y) (- x 1)))) t) (taylor 0 z) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* z (log (- 1 y))) (taylor inf z) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) (taylor inf z) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) (taylor inf z) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (log (- 1 y)) (+ (* -1 (/ (log (- 1 y)) z)) (/ (* (log y) (- x 1)) z))) (/ t z))) (taylor inf z) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* z (log (- 1 y))) (taylor -inf z) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (log (- 1 y))) (* -1 (/ (- (+ (* -1 (log (- 1 y))) (* (log y) (- x 1))) t) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (* (log y) (- x 1)) t) (taylor 0 y) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (* y (- z 1))) (* (log y) (- x 1))) t) (taylor 0 y) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* y (+ (* -1 (- z 1)) (* -1/2 (* y (- z 1))))) (* (log y) (- x 1))) t) (taylor 0 y) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* y (+ (* -1 (- z 1)) (* y (+ (* -1/2 (- z 1)) (* -1/3 (* y (- z 1))))))) (* (log y) (- x 1))) t) (taylor 0 y) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1))) t) (taylor inf y) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (* (log (/ 1 y)) (- x 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ 1 y)))) (- z 1)))) t) (taylor inf y) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -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) (taylor inf y) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -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) (taylor inf y) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1))) t) (taylor -inf y) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- z 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) (taylor -inf y) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (* (log (/ -1 y)) (- z 1))) (+ (* -1 (/ (- (+ z (* 1/2 (/ (- z 1) y))) 1) y)) (* (+ (log -1) (* -1 (log (/ -1 y)))) (- x 1)))) t) (taylor -inf y) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -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) (taylor -inf y) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) (taylor 0 x) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) (taylor 0 x) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) (taylor 0 x) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log y)) (+ (* x (log y)) (* (log (- 1 y)) (- z 1)))) t) (taylor 0 x) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor inf x) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) (taylor inf x) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) (taylor inf x) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (log y) (+ (* -1 (/ (log y) x)) (/ (* (log (- 1 y)) (- z 1)) x))) (/ t x))) (taylor inf x) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) (taylor -inf x) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) (taylor -inf x) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (log y)) (* (log (- 1 y)) (- z 1))) t) x))))) (taylor -inf x) (#s(alt #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) (patch #s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	((- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t))
8.0ms	x	@	inf	((- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t))
8.0ms	t	@	inf	((- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t))
3.0ms	t	@	0	((- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t))
3.0ms	z	@	0	((- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t))

simplify304.0ms (5%)

Memory

-1.0MiB live, 188.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	1007
1	458	938
2	1405	875
3	5673	874
0	8349	775

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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))) 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))) (/ 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))) 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)) 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)
(- (+ (* -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)) (- 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)
(- (+ (* -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)
(* 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))
(* -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)))))

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

rewrite202.0ms (3.4%)

Memory

12.3MiB live, 168.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	19
0	15	19
1	87	19
2	749	19
0	8451	17

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Counts

1 → 1

Calls

Call 1

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

Outputs
#<batchref>

eval1.0ms (0%)

Memory: 1.8MiB live, 1.8MiB allocated
Compiler: Compiled 825 to 100 computations (87.9% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	49	4	53

Accuracy

100.0%

Counts

53 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) (- z 1)) (+ (* (log y) (- x 1)) (neg t))) (*.f64 x (log.f64 y)))))
✓	25.9%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (*.f64 x (log.f64 y)))
✓	75.4%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) (neg.f64 t))
✓	1.6%	#s(approx (- (+ (* (- x 1) (log y)) (* (- z 1) (log (- 1 y)))) t) t)

Compiler

Compiled 88 to 63 computations (28.4% saved)

regimes0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 6 computations (-100% saved)

end0.0ms (0%)

Memory

0.0MiB live, 0.0MiB allocated

Calls

1 calls:

0.0ms

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

start0.0ms (0%)

analyze144.0ms (2.4%)

sample2.2s (37.3%)

explain5.0ms (0.1%)

preprocess256.0ms (4.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify164.0ms (2.7%)

localize2.0ms (0%)

series147.0ms (2.4%)

simplify240.0ms (4%)

rewrite209.0ms (3.5%)

eval19.0ms (0.3%)

prune1.0ms (0%)

simplify185.0ms (3.1%)

localize2.0ms (0%)

series164.0ms (2.7%)

simplify484.0ms (8%)

rewrite300.0ms (5%)

eval56.0ms (0.9%)

prune2.0ms (0%)

simplify128.0ms (2.1%)

localize2.0ms (0%)

series121.0ms (2%)

simplify213.0ms (3.5%)

rewrite176.0ms (2.9%)

eval67.0ms (1.1%)

prune1.0ms (0%)

simplify131.0ms (2.2%)

localize1.0ms (0%)

series44.0ms (0.7%)

simplify304.0ms (5%)

rewrite202.0ms (3.4%)

eval1.0ms (0%)

prune1.0ms (0%)

regimes0.0ms (0%)

end0.0ms (0%)

Profiling