Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze85.0ms (0.7%)

Memory

-15.6MiB live, 195.5MiB 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 15 to 14 computations (6.7% saved)

sample2.5s (19.6%)

Memory

75.7MiB live, 3 139.8MiB allocated

Samples

1.2s	2 419×	1	valid
831.0ms	5 837×	0	valid
0.0ms	5×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-log: 1.2s (67.8% of total)

ival-sub: 256.0ms (14.9% of total)

ival-mult: 161.0ms (9.4% of total)

adjust: 66.0ms (3.8% of total)

ival-add: 55.0ms (3.2% of total)

ival-true: 7.0ms (0.4% of total)

exact: 5.0ms (0.3% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain311.0ms (2.5%)

Memory

-58.4MiB live, 404.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(log.f64 (-.f64 #s(literal 1 binary64) y))`
0	-	-	`(*.f64 x (log.f64 y))`
0	-	-	`(-.f64 #s(literal 1 binary64) y)`
0	-	-	`(log.f64 y)`
0	-	-	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))`
0	-	-	`t`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))`
0	-	-	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
0	-	-	`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	254	0

Confusion

	Predicted +	Predicted -
+	52	0
-	202	2

Precision

0.2047244094488189

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	52	0	0
-	202	0	2

Precision?

0.2047244094488189

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

158.0ms	390×	1	valid
48.0ms	102×	2	valid
2.0ms	20×	0	valid

Compiler

Compiled 113 to 40 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-log: 111.0ms (69.5% of total)

adjust: 15.0ms (9.4% of total)

ival-mult: 14.0ms (8.8% of total)

ival-sub: 12.0ms (7.5% of total)

ival-add: 7.0ms (4.4% of total)

ival-true: 1.0ms (0.6% of total)

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

exact: 0.0ms (0% of total)

preprocess158.0ms (1.2%)

Memory

36.9MiB live, 74.5MiB allocated

Algorithm

1×	egg-herbie

Rules

700×	`sub-neg`
520×	`unsub-neg`
508×	`lower-fma.f64`
508×	`lower-fma.f32`
494×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	196
1	148	188
2	371	185
3	987	185
4	1995	185
5	3007	185
6	3660	185
7	3863	185
8	3906	185
9	3916	185
10	3922	185
11	4005	185
12	4061	185
13	4085	185
14	4085	185
0	12	13
0	19	13
1	30	13
2	43	13
3	66	13
4	102	13
5	171	13
6	313	13
7	518	13
8	688	13
9	744	13
10	770	13
0	770	11

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.7%	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify23.0ms (0.2%)

Memory

-24.6MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

508×	`lower-fma.f64`
508×	`lower-fma.f32`
216×	`lower-*.f32`
212×	`lower-*.f64`
160×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	19	48
1	30	48
2	43	48
3	66	48
4	102	48
5	171	48
6	313	48
7	518	48
8	688	48
9	744	48
10	770	48
0	770	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize106.0ms (0.8%)

Memory

17.4MiB live, 140.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))
accuracy	0.01171875	(*.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))
accuracy	0.26171875	(*.f64 x (log.f64 y))
accuracy	58.92107152711667	(log.f64 (-.f64 #s(literal 1 binary64) y))

Samples

73.0ms	195×	1	valid
21.0ms	51×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

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

ival-log: 45.0ms (57.1% of total)

ival-mult: 17.0ms (21.6% of total)

ival-sub: 7.0ms (8.9% of total)

adjust: 7.0ms (8.9% of total)

ival-add: 2.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series512.0ms (4%)

Memory

1.6MiB live, 159.0MiB allocated

Counts

5 → 144

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
215.0ms	x	@	0	((+ (* x (log y)) (* z (log (- 1 y)))) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y)) (* z (log (- 1 y))))
171.0ms	y	@	0	((+ (* x (log y)) (* z (log (- 1 y)))) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y)) (* z (log (- 1 y))))
57.0ms	z	@	0	((+ (* x (log y)) (* z (log (- 1 y)))) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y)) (* z (log (- 1 y))))
13.0ms	y	@	-inf	((+ (* x (log y)) (* z (log (- 1 y)))) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y)) (* z (log (- 1 y))))
12.0ms	t	@	0	((+ (* x (log y)) (* z (log (- 1 y)))) (log (- 1 y)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (* x (log y)) (* z (log (- 1 y))))

simplify454.0ms (3.6%)

Memory

-9.4MiB live, 141.1MiB allocated

Algorithm

1×	egg-herbie

Rules

22 162×	`lower-fma.f64`
22 162×	`lower-fma.f32`
3 468×	`lower-+.f64`
3 468×	`lower-+.f32`
3 262×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	1688
1	585	1578
2	1784	1526
3	5194	1494
0	8309	1337

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite380.0ms (3%)

Memory

4.1MiB live, 195.9MiB allocated

Rules

7 024×	`lower-fma.f64`
7 024×	`lower-fma.f32`
4 486×	`lower-*.f32`
4 482×	`lower-*.f64`
2 892×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
0	19	38
1	67	38
2	506	38
3	6739	38
0	8211	32

Stop Event

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

Counts

5 → 240

Calls

Call 1

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

Outputs
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eval144.0ms (1.1%)

Memory: 14.2MiB live, 103.3MiB allocated
Compiler: Compiled 11 810 to 1 193 computations (89.9% saved)

prune32.0ms (0.3%)

Memory

6.4MiB live, 44.6MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	371	13	384
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	372	13	385

Accuracy

99.9%

Counts

385 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)))
	24.1%	(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x)) #s(literal 4 binary64)) (pow.f64 t #s(literal 4 binary64))) (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x t)) #s(literal -1 binary64))) (fma.f64 t t (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) #s(literal 2 binary64))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))))
	67.1%	(-.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t)
▶	90.0%	(-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t)
▶	81.2%	(-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (*.f64 (log.f64 y) x)) t)
	98.5%	(.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x t)) (.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))) (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x t)) #s(literal -1 binary64))))
	48.6%	(.f64 (neg.f64 (fma.f64 (neg.f64 t) t (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x t)))))
	61.8%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)))
	99.5%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (-.f64 (*.f64 (log.f64 y) x) (fma.f64 z y t)))
	20.4%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log1p.f64 (neg.f64 y)) z))
	37.8%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x))
▶	43.9%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t))

Compiler

Compiled 506 to 336 computations (33.6% saved)

simplify365.0ms (2.9%)

Memory

-31.3MiB live, 97.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x)))
cost-diff	0	(-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t)
cost-diff	128	(neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))
cost-diff	42176	(fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x)))))
cost-diff	0	(log1p.f64 (neg.f64 y))
cost-diff	0	(fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))))
cost-diff	0	(log.f64 y)
cost-diff	0	(*.f64 (log.f64 y) x)
cost-diff	0	#s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (*.f64 (log.f64 y) x))
cost-diff	0	(-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (*.f64 (log.f64 y) x)) t)
cost-diff	0	(neg.f64 t)
cost-diff	0	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t))
cost-diff	0	(log1p.f64 (neg.f64 y))
cost-diff	0	(fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))
cost-diff	0	(log.f64 y)
cost-diff	0	(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)))

Rules

9 336×	`lower-fma.f32`
9 324×	`lower-fma.f64`
2 624×	`lower-*.f32`
2 618×	`lower-*.f64`
1 538×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	334
0	64	297
1	120	297
2	237	295
3	585	295
4	1491	295
5	3423	287
6	4224	287
7	4595	287
8	4638	287
9	4647	287
10	4648	287
11	5294	287
12	5602	287
13	5650	287
14	5810	287
15	5878	287
16	5878	287
17	5897	287
18	5897	285
19	5941	285
20	6201	268
21	7329	268
0	8067	265

Stop Event

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

Calls

Call 1

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

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

localize231.0ms (1.8%)

Memory

4.8MiB live, 236.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.26171875	(*.f64 (log.f64 y) x)
accuracy	0.5514450195368841	(pow.f64 (log.f64 y) #s(literal 2 binary64))
accuracy	1.3425036342130465	(/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x)))
accuracy	7.68619955723043	(/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x)))
accuracy	0.00390625	(fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))
accuracy	0.109375	(fma.f64 (log.f64 y) x (neg.f64 t))
accuracy	0.1953125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))))
accuracy	0.7022960387438169	(/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))
accuracy	0	(log.f64 y)
accuracy	0.0078125	(-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (*.f64 (log.f64 y) x)) t)
accuracy	0.26171875	(*.f64 (log.f64 y) x)
accuracy	21.10302652787611	#s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (*.f64 (log.f64 y) x))
accuracy	0	(neg.f64 t)
accuracy	35.87515744782973	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t))
accuracy	0	(neg.f64 t)
accuracy	0	(log1p.f64 (neg.f64 y))
accuracy	0	(log.f64 y)
accuracy	0.08984375	(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)))

Samples

139.0ms	126×	1	valid
38.0ms	130×	0	valid

Compiler

Compiled 387 to 38 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-log: 43.0ms (29.1% of total)

ival-mult: 36.0ms (24.4% of total)

ival-pow2: 22.0ms (14.9% of total)

ival-div: 13.0ms (8.8% of total)

ival-add: 11.0ms (7.4% of total)

adjust: 9.0ms (6.1% of total)

ival-sub: 5.0ms (3.4% of total)

ival-neg: 5.0ms (3.4% of total)

ival-log1p: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series257.0ms (2%)

Memory

9.3MiB live, 317.0MiB allocated

Counts

19 → 660

Calls

Call 1

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

Outputs
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) (patch (fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) (patch (fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) (patch (fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) (patch (fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) #<representation binary64>) () ())) ())
#s(alt (* z (log (- 1 y))) (taylor 0 t) (#s(alt (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (patch (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (patch (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (patch (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) (patch (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) (patch #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) (patch #s(approx (- (+ (* x (log y)) (* z (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 (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (.f64 (log.f64 y) x)) t) (patch (-.f64 #s(approx (+ ( x (log y)) (* z (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (.f64 (log.f64 y) x)) t) (patch (-.f64 #s(approx (+ ( x (log y)) (* z (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (.f64 (log.f64 y) x)) t) (patch (-.f64 #s(approx (+ ( x (log y)) (* z (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (.f64 (log.f64 y) x)) t) (patch (-.f64 #s(approx (+ ( x (log y)) (* z (log (- 1 y)))) (*.f64 (log.f64 y) x)) t) #<representation binary64>) () ())) ())
#s(alt (+ (* x (log y)) (* z (log (- 1 y)))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 t) (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (* x (log y)) (* z (log (- 1 y))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (+ (* x (log y)) (* z (log (- 1 y))))) (/ t (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (/ 1 (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2)) (/ t (pow (+ (* x (log y)) (* z (log (- 1 y)))) 3)))) (/ 1 (+ (* x (log y)) (* z (log (- 1 y)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* t (+ (/ 1 (pow (+ (* x (log y)) (* z (log (- 1 y)))) 3)) (/ t (pow (+ (* x (log y)) (* z (log (- 1 y)))) 4)))) (/ 1 (pow (+ (* x (log y)) (* z (log (- 1 y)))) 2)))) (/ 1 (+ (* x (log y)) (* z (log (- 1 y)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 (log.f64 y) x (neg.f64 t)))) #<representation binary64>) () ())) ())
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#s(alt (* x (log y)) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t) (patch (-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (+ (* -1 (/ (* z (log (- 1 y))) x)) (/ t x))))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t) (patch (-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (+ t (* -1 (* z (log (- 1 y)))))) x))))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t) (patch (-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (+ t (* -1 (* z (log (- 1 y)))))) x))))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t) (patch (-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor -inf x) (#s(alt (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (patch (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (/ (* z (log (- 1 y))) x)) (taylor -inf x) (#s(alt (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (patch (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* -1 (/ (+ (* -1 (* z (log (- 1 y)))) (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y))))) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (patch (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log y) (* -1 (/ (+ (* -1 (* z (log (- 1 y)))) (* -1 (/ (+ (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y)) (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* x (pow (log y) 2)))) x))) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (patch (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (fma.f64 (log.f64 y) x (neg.f64 t)) (patch (fma.f64 (log.f64 y) x (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ t x)))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 y) x (neg.f64 t)) (patch (fma.f64 (log.f64 y) x (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ t x)))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 y) x (neg.f64 t)) (patch (fma.f64 (log.f64 y) x (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (log y)) (/ t x)))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 y) x (neg.f64 t)) (patch (fma.f64 (log.f64 y) x (neg.f64 t)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (patch (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* x (pow (log y) 2))))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (patch (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (* -1 (/ (- (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (* x (pow (log y) 3))) (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (pow (log y) 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (patch (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (log (- 1 y)) 5)) (* x (pow (log y) 4)))) (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (pow (log y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (pow (log y) 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (patch (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
56.0ms	y	@	-inf	((+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (log y) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* x (log y)) (* z (log (- 1 y)))) (* (log y) x) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (+ (* (log y) x) (neg t)) (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (pow (log y) 2))
54.0ms	y	@	inf	((+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (log y) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* x (log y)) (* z (log (- 1 y)))) (* (log y) x) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (+ (* (log y) x) (neg t)) (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (pow (log y) 2))
34.0ms	x	@	inf	((+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (log y) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* x (log y)) (* z (log (- 1 y)))) (* (log y) x) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (+ (* (log y) x) (neg t)) (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (pow (log y) 2))
14.0ms	x	@	-inf	((+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (log y) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* x (log y)) (* z (log (- 1 y)))) (* (log y) x) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (+ (* (log y) x) (neg t)) (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (pow (log y) 2))
13.0ms	x	@	0	((+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (log y) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg t) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* x (log y)) (* z (log (- 1 y)))) (* (log y) x) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (+ (* (log y) x) (neg t)) (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (pow (log y) 2))

simplify360.0ms (2.8%)

Memory

15.8MiB live, 421.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 990×	`lower-fma.f64`
6 990×	`lower-fma.f32`
5 996×	`lower-*.f64`
5 996×	`lower-*.f32`
3 022×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1377	24092
1	4851	21893
0	8307	20657

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

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

rewrite378.0ms (3%)

Memory

-23.1MiB live, 494.3MiB allocated

Rules

4 922×	`lower-fma.f32`
4 910×	`lower-fma.f64`
4 586×	`lower-*.f32`
4 580×	`lower-*.f64`
3 642×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	260
0	64	223
1	297	195
2	2397	195
0	8464	192

Stop Event

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

Counts

19 → 1 705

Calls

Call 1

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

Outputs
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eval612.0ms (4.8%)

Memory: 43.3MiB live, 1 013.4MiB allocated
Compiler: Compiled 145 940 to 6 106 computations (95.8% saved)

prune97.0ms (0.8%)

Memory

-3.7MiB live, 213.1MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	2 686	16	2 702
Fresh	6	2	8
Picked	4	1	5
Done	0	0	0
Total	2 696	19	2 715

Accuracy

100.0%

Counts

2 715 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (neg.f64 t)))
▶	81.2%	(fma.f64 (log.f64 y) x #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 t)))
▶	48.1%	(pow.f64 (pow.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	35.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (.f64 x (log.f64 y))) t) (-.f64 (pow.f64 #s(approx (+ ( x (log y)) (* z (log (- 1 y)))) (.f64 x (log.f64 y))) #s(literal 2 binary64)) (.f64 t t))))
▶	81.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (-.f64 (*.f64 (log.f64 y) x) t))))
	37.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (*.f64 (log.f64 y) x))))
	43.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 #s(literal -1 binary64) t)))
	67.1%	(-.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t)
	97.2%	(-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) #s(approx (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (*.f64 (log1p.f64 (neg.f64 y)) z))) t)
	89.9%	(-.f64 (fma.f64 x (.f64 x (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 x (log.f64 y))))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t)
	91.7%	(-.f64 #s(approx (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) t)
	35.1%	(.f64 (-.f64 (pow.f64 #s(approx (+ ( x (log y)) (* z (log (- 1 y)))) (.f64 x (log.f64 y))) #s(literal 2 binary64)) (.f64 t t)) (pow.f64 (+.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (*.f64 x (log.f64 y))) t) #s(literal -1 binary64)))
	61.8%	#s(approx (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)))
	88.4%	#s(approx (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) t) (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) #s(literal -1 binary64))) t))
	20.4%	#s(approx (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (*.f64 (log1p.f64 (neg.f64 y)) z))
	37.8%	#s(approx (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (*.f64 (log.f64 y) x))
▶	21.8%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
	99.5%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (-.f64 (*.f64 (log.f64 y) x) (fma.f64 z y t)))
✓	43.9%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t))

Compiler

Compiled 559 to 448 computations (19.9% saved)

simplify106.0ms (0.8%)

Memory

-2.2MiB live, 112.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f64 (neg.f64 y))
cost-diff	0	(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
cost-diff	5824	(pow.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t))) #s(literal 1/2 binary64))
cost-diff	7104	(pow.f64 (pow.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (*.f64 (log.f64 y) x) t)
cost-diff	0	#s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (-.f64 (*.f64 (log.f64 y) x) t))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (-.f64 (*.f64 (log.f64 y) x) t)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (-.f64 (*.f64 (log.f64 y) x) t))))
cost-diff	0	(neg.f64 t)
cost-diff	0	#s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 t))
cost-diff	0	(log.f64 y)
cost-diff	0	(fma.f64 (log.f64 y) x #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 t)))
cost-diff	0	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 t t))
cost-diff	192	(+.f64 #s(literal 0 binary64) t)
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))
cost-diff	0	#s(approx (log (+ 1 (neg y))) (neg.f64 y))
cost-diff	0	(fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (neg.f64 t))
cost-diff	0	(log.f64 y)
cost-diff	0	(fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (neg.f64 t)))

Rules

3 590×	`lower-*.f32`
3 586×	`lower-*.f64`
2 962×	`lower-fma.f32`
2 952×	`lower-fma.f64`
1 462×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	260
0	72	234
1	131	228
2	211	224
3	355	224
4	626	224
5	1024	224
6	1914	224
7	3182	224
8	5142	224
9	7189	224
0	8034	224

Stop Event

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

Calls

Call 1

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

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

localize142.0ms (1.1%)

Memory

-4.4MiB live, 265.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
accuracy	0.0546875	(fma.f64 x (log.f64 y) (neg.f64 t))
accuracy	0.21484375	(pow.f64 (pow.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy	0.5116928791243306	(pow.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t))) #s(literal 1/2 binary64))
accuracy	0.11328125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (-.f64 (*.f64 (log.f64 y) x) t))))
accuracy	0.12109375	(*.f64 (log.f64 y) x)
accuracy	0.44578387508960476	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (-.f64 (*.f64 (log.f64 y) x) t)))
accuracy	5.613768827130071	#s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (-.f64 (*.f64 (log.f64 y) x) t))
accuracy	0	(neg.f64 t)
accuracy	0	(log.f64 y)
accuracy	0.05078125	(fma.f64 (log.f64 y) x #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 t)))
accuracy	10.160598019148644	#s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 t))
accuracy	0	(+.f64 #s(literal 0 binary64) t)
accuracy	0	(*.f64 t t)
accuracy	11.86408573705792	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))
accuracy	17.3943256233504	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)))
accuracy	0	(neg.f64 t)
accuracy	0	(log.f64 y)
accuracy	0.05078125	(fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (neg.f64 t)))
accuracy	0.3084267330959778	#s(approx (log (+ 1 (neg y))) (neg.f64 y))

Samples

55.0ms	132×	0	invalid
31.0ms	83×	0	valid
29.0ms	41×	1	valid

Compiler

Compiled 251 to 38 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-div: 19.0ms (22.7% of total)

ival-log: 16.0ms (19.1% of total)

ival-add: 16.0ms (19.1% of total)

ival-mult: 11.0ms (13.1% of total)

ival-sub: 6.0ms (7.2% of total)

ival-log1p: 5.0ms (6% of total)

adjust: 3.0ms (3.6% of total)

ival-pow2: 3.0ms (3.6% of total)

ival-sqrt: 2.0ms (2.4% of total)

ival-neg: 2.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series172.0ms (1.4%)

Memory

19.2MiB live, 142.9MiB allocated

Counts

22 → 696

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	x	@	0	((+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (log y) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg t) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (- (* (log y) x) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) (log (+ 1 (neg y))) (* t t) (* (log y) x) (+ (* x (log y)) (neg t)))
27.0ms	z	@	-inf	((+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (log y) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg t) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (- (* (log y) x) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) (log (+ 1 (neg y))) (* t t) (* (log y) x) (+ (* x (log y)) (neg t)))
9.0ms	x	@	-inf	((+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (log y) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg t) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (- (* (log y) x) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) (log (+ 1 (neg y))) (* t t) (* (log y) x) (+ (* x (log y)) (neg t)))
9.0ms	x	@	inf	((+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (log y) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg t) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (- (* (log y) x) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) (log (+ 1 (neg y))) (* t t) (* (log y) x) (+ (* x (log y)) (neg t)))
8.0ms	y	@	inf	((+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (log y) (+ (* (log (+ 1 (neg y))) z) (neg t)) (log (+ 1 (neg y))) (/ (- 0 (* t t)) (+ 0 t)) (+ 0 t) (- 0 (* t t)) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (+ (* (log y) x) (+ (* (log (+ 1 (neg y))) z) (neg t))) (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg t) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (- (* (log y) x) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) (log (+ 1 (neg y))) (* t t) (* (log y) x) (+ (* x (log y)) (neg t)))

simplify217.0ms (1.7%)

Memory

19.4MiB live, 210.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 616×	`lower-fma.f64`
9 616×	`lower-fma.f32`
6 674×	`lower-*.f64`
6 674×	`lower-*.f32`
4 192×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	845	12337
1	2595	11548
0	8199	10609

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 684

Calls

Call 1

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

rewrite202.0ms (1.6%)

Memory

-3.3MiB live, 279.0MiB allocated

Rules

2 924×	`lower-*.f32`
2 920×	`lower-*.f64`
2 896×	`lower-/.f32`
2 890×	`lower-/.f64`
2 448×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	227
0	72	213
1	343	193
2	2399	171
0	9043	169

Stop Event

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

Counts

22 → 1 232

Calls

Call 1

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

Outputs
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eval491.0ms (3.9%)

Memory: 14.1MiB live, 638.6MiB allocated
Compiler: Compiled 55 802 to 5 047 computations (91% saved)

prune78.0ms (0.6%)

Memory

-46.1MiB live, 177.5MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	2 102	15	2 117
Fresh	7	6	13
Picked	3	2	5
Done	0	1	1
Total	2 112	24	2 136

Accuracy

100.0%

Counts

2 136 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.8%	(fma.f64 (pow.f64 (fma.f64 x (log.f64 y) t) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (log.f64 y) t) #s(literal -1 binary64)) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))
	54.6%	(fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z t))
✓	81.2%	(fma.f64 (log.f64 y) x #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 t)))
	54.6%	(fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (fma.f64 x (log.f64 y) t))
	26.5%	(pow.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 x (log.f64 y) t)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
	39.4%	(pow.f64 #s(approx (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) t))) #s(literal 2 binary64))
✓	81.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (-.f64 (*.f64 (log.f64 y) x) t))))
	37.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (*.f64 (log.f64 y) x))))
	72.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) #s(approx (- (* (log y) x) t) (*.f64 (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) t)))))
	72.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) #s(approx (- (* (log y) x) t) (.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 y) x) t)))))))
▶	37.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x)))
	43.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 #s(literal -1 binary64) t)))
	67.1%	(-.f64 (fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t)
▶	97.2%	(-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) #s(approx (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (*.f64 (log1p.f64 (neg.f64 y)) z))) t)
	89.9%	(-.f64 (fma.f64 x (.f64 x (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 x (log.f64 y))))) (neg.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (neg.f64 y)) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))))) t)
	91.7%	(-.f64 #s(approx (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) t)
	61.8%	#s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)))
▶	88.4%	#s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t))
▶	20.4%	#s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (*.f64 (log1p.f64 (neg.f64 y)) z))
	37.8%	#s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (*.f64 (log.f64 y) x))
	21.8%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t))
	2.3%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (*.f64 t t) t))
✓	43.9%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t))
▶	2.2%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t)

Compiler

Compiled 607 to 515 computations (15.2% saved)

simplify116.0ms (0.9%)

Memory

15.8MiB live, 134.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (log1p.f64 (neg.f64 y)) t)
cost-diff	0	(fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)))
cost-diff	0	#s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t))
cost-diff	1600	(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t)
cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 y))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x)
cost-diff	0	#s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(log1p.f64 (neg.f64 y))
cost-diff	0	(*.f64 (log1p.f64 (neg.f64 y)) z)
cost-diff	0	#s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (*.f64 (log1p.f64 (neg.f64 y)) z))
cost-diff	0	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t)
cost-diff	0	(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)
cost-diff	0	(/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x)))
cost-diff	0	(fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) #s(approx (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (*.f64 (log1p.f64 (neg.f64 y)) z)))
cost-diff	0	(-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) #s(approx (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (*.f64 (log1p.f64 (neg.f64 y)) z))) t)

Rules

3 860×	`lower-fma.f32`
3 852×	`lower-fma.f64`
3 622×	`lower-*.f32`
3 614×	`lower-*.f64`
2 326×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	379
0	90	372
1	160	366
2	270	363
3	597	363
4	1355	355
5	3131	355
6	5430	355
7	7112	355
0	8045	348

Stop Event

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

Calls

Call 1

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

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

localize200.0ms (1.6%)

Memory

14.3MiB live, 247.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)))
accuracy	0.05859375	(fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))
accuracy	0.1171875	(/.f64 (log.f64 y) t)
accuracy	3.797000178610939	(*.f64 (fma.f64 z (/.f64 (log1p.f64 (neg.f64 y)) t) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t)
accuracy	0.11328125	(/.f64 #s(literal 1 binary64) (log.f64 y))
accuracy	0.11328125	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x)))
accuracy	0.1328125	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x)
accuracy	18.911739333735632	#s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x))
accuracy	0	(neg.f64 y)
accuracy	0	(log1p.f64 (neg.f64 y))
accuracy	0.00390625	(*.f64 (log1p.f64 (neg.f64 y)) z)
accuracy	24.899649924399842	#s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (*.f64 (log1p.f64 (neg.f64 y)) z))
accuracy	30.315794728043198	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t)
accuracy	0.13671875	(*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x)
accuracy	0.285820019536884	(pow.f64 (log.f64 y) #s(literal 2 binary64))
accuracy	0.6709457628983956	(/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x)))
accuracy	14.130909355399847	#s(approx (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (*.f64 (log1p.f64 (neg.f64 y)) z))

Samples

97.0ms	132×	0	invalid
44.0ms	41×	1	valid
29.0ms	83×	0	valid

Compiler

Compiled 382 to 51 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-sub: 47.0ms (32.5% of total)

ival-mult: 22.0ms (15.2% of total)

ival-log: 17.0ms (11.7% of total)

ival-div: 15.0ms (10.4% of total)

ival-neg: 14.0ms (9.7% of total)

ival-add: 11.0ms (7.6% of total)

ival-pow2: 9.0ms (6.2% of total)

adjust: 3.0ms (2.1% of total)

ival-log1p: 3.0ms (2.1% of total)

ival-sqrt: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series361.0ms (2.8%)

Memory

3.3MiB live, 282.7MiB allocated

Counts

21 → 696

Calls

Call 1

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

Outputs
#s(alt (- (/ (* (pow x 2) (pow (log y) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y)))) (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (+ (* -1 (* z (log (- 1 y)))) (* x (log y))))) (taylor 0 t) (#s(alt (-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) #s(approx (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (.f64 (log1p.f64 (neg.f64 y)) z))) t) (patch (-.f64 (fma.f64 x (/.f64 (.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (log1p.f64 (neg.f64 y)) (.f64 (log.f64 y) x))) #s(approx (neg (/ (pow ( (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (*.f64 (log1p.f64 (neg.f64 y)) z))) t) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (* x (log y)))) (taylor -inf x) (#s(alt #s(approx (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (.f64 (log1p.f64 (neg.f64 y)) z)) (patch #s(approx (neg (/ (pow ( (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (* x (pow (log y) 2))) (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y)))) x)) (taylor -inf x) (#s(alt #s(approx (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (.f64 (log1p.f64 (neg.f64 y)) z)) (patch #s(approx (neg (/ (pow ( (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (pow (log y) 2))) (* -1 (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (* x (pow (log y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y)))) x)) (taylor -inf x) (#s(alt #s(approx (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (.f64 (log1p.f64 (neg.f64 y)) z)) (patch #s(approx (neg (/ (pow ( (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (log (- 1 y)) 3)) (pow (log y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (log (- 1 y)) 4)) (pow (log y) 3)) (/ (* (pow z 5) (pow (log (- 1 y)) 5)) (* x (pow (log y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (log (- 1 y)) 2)) (log y)))) x)) (taylor -inf x) (#s(alt #s(approx (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (.f64 (log1p.f64 (neg.f64 y)) z)) (patch #s(approx (neg (/ (pow ( (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (log y)) t) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (patch (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (log y) t)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (patch (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (log y) t)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (patch (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (log y) t)) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (patch (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
60.0ms	x	@	0	((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (* (pow (log y) 2) x) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (* (log (+ 1 (neg y))) z) (log (+ 1 (neg y))) (neg y) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/ (/ 1 (log y)) x) (/ 1 (log y)) (* (+ (* z (/ (log (+ 1 (neg y))) t)) (+ (* x (/ (log y) t)) -1)) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (+ (* z (/ (log (+ 1 (neg y))) t)) (+ (* x (/ (log y) t)) -1)) (/ (log (+ 1 (neg y))) t) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (pow (log y) 2) (/ (log y) t) (+ (* x (/ (log y) t)) -1))
40.0ms	t	@	inf	((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (* (pow (log y) 2) x) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (* (log (+ 1 (neg y))) z) (log (+ 1 (neg y))) (neg y) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/ (/ 1 (log y)) x) (/ 1 (log y)) (* (+ (* z (/ (log (+ 1 (neg y))) t)) (+ (* x (/ (log y) t)) -1)) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (+ (* z (/ (log (+ 1 (neg y))) t)) (+ (* x (/ (log y) t)) -1)) (/ (log (+ 1 (neg y))) t) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (pow (log y) 2) (/ (log y) t) (+ (* x (/ (log y) t)) -1))
39.0ms	t	@	-inf	((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (* (pow (log y) 2) x) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (* (log (+ 1 (neg y))) z) (log (+ 1 (neg y))) (neg y) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/ (/ 1 (log y)) x) (/ 1 (log y)) (* (+ (* z (/ (log (+ 1 (neg y))) t)) (+ (* x (/ (log y) t)) -1)) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (+ (* z (/ (log (+ 1 (neg y))) t)) (+ (* x (/ (log y) t)) -1)) (/ (log (+ 1 (neg y))) t) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (pow (log y) 2) (/ (log y) t) (+ (* x (/ (log y) t)) -1))
32.0ms	y	@	inf	((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (* (pow (log y) 2) x) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (* (log (+ 1 (neg y))) z) (log (+ 1 (neg y))) (neg y) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/ (/ 1 (log y)) x) (/ 1 (log y)) (* (+ (* z (/ (log (+ 1 (neg y))) t)) (+ (* x (/ (log y) t)) -1)) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (+ (* z (/ (log (+ 1 (neg y))) t)) (+ (* x (/ (log y) t)) -1)) (/ (log (+ 1 (neg y))) t) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (pow (log y) 2) (/ (log y) t) (+ (* x (/ (log y) t)) -1))
31.0ms	z	@	inf	((- (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) t) (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))) (* (pow (log y) 2) x) (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (* (log (+ 1 (neg y))) z) (log (+ 1 (neg y))) (neg y) (/ 1 (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))))) (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/ (/ 1 (log y)) x) (/ 1 (log y)) (* (+ (* z (/ (log (+ 1 (neg y))) t)) (+ (* x (/ (log y) t)) -1)) t) (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (+ (* z (/ (log (+ 1 (neg y))) t)) (+ (* x (/ (log y) t)) -1)) (/ (log (+ 1 (neg y))) t) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (pow (log y) 2) (/ (log y) t) (+ (* x (/ (log y) t)) -1))

simplify405.0ms (3.2%)

Memory

-15.8MiB live, 375.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 086×	`lower-fma.f64`
7 086×	`lower-fma.f32`
6 106×	`lower-*.f64`
6 106×	`lower-*.f32`
3 072×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1433	22134
1	4925	20102
0	8305	18906

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 696

Calls

Call 1

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

rewrite513.0ms (4%)

Memory

30.5MiB live, 348.5MiB allocated

Rules

5 218×	`lower-*.f32`
5 210×	`lower-*.f64`
4 404×	`lower-fma.f32`
4 396×	`lower-fma.f64`
3 662×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	326
0	90	317
1	403	311
2	2571	311
0	8890	306

Stop Event

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

Counts

21 → 466

Calls

Call 1

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

Outputs
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eval277.0ms (2.2%)

Memory: 1.5MiB live, 422.5MiB allocated
Compiler: Compiled 50 038 to 4 358 computations (91.3% saved)

prune86.0ms (0.7%)

Memory

-26.4MiB live, 209.2MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	1 349	9	1 358
Fresh	4	12	16
Picked	3	2	5
Done	0	3	3
Total	1 356	26	1 382

Accuracy

100.0%

Counts

1 382 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.8%	(fma.f64 (pow.f64 (fma.f64 x (log.f64 y) t) #s(literal 2 binary64)) (pow.f64 (fma.f64 x (log.f64 y) t) #s(literal -1 binary64)) (*.f64 z #s(approx (log (+ 1 (neg y))) (neg.f64 y))))
	97.6%	(fma.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 x (fma.f64 (log1p.f64 (neg.f64 y)) (neg.f64 z) (.f64 (log.f64 y) x))) x) (-.f64 #s(approx (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t))
	54.6%	(fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z t))
✓	81.2%	(fma.f64 (log.f64 y) x #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 t)))
	54.6%	(fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (fma.f64 x (log.f64 y) t))
	26.5%	(pow.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (fma.f64 x (log.f64 y) t)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
	39.4%	(pow.f64 #s(approx (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) (sqrt.f64 (-.f64 (*.f64 (log.f64 y) x) t))) #s(literal 2 binary64))
✓	81.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (-.f64 (*.f64 (log.f64 y) x) t))))
	37.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t))) (*.f64 (log.f64 y) x))))
✓	37.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) x)))
	43.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (/.f64 #s(literal -1 binary64) t)))
	37.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 y)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))))
	37.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (log (+ 1 (neg y))) z) (+ (* (log y) x) (neg t)))) #s(approx (/ (/ 1 (log y)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 y))))))
	97.2%	(-.f64 (fma.f64 x (.f64 x (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log1p.f64 (neg.f64 y)) (neg.f64 z) (.f64 (log.f64 y) x)))) #s(approx (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (*.f64 (log1p.f64 (neg.f64 y)) z))) t)
	91.7%	(-.f64 #s(approx (+ (* x (/ (* (pow (log y) 2) x) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x)))) (neg (/ (pow (* (log (+ 1 (neg y))) z) 2) (+ (* (neg z) (log (+ 1 (neg y)))) (* (log y) x))))) (*.f64 (fma.f64 x (/.f64 (log.f64 y) z) (log1p.f64 (neg.f64 y))) z)) t)
	61.8%	#s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)))
	37.8%	#s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (*.f64 (log.f64 y) x))
	72.8%	#s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (+ ( z (/ (log (+ 1 (neg y))) t)) (+ (* x (/ (log y) t)) -1)) (fma.f64 x (/.f64 (log.f64 y) t) #s(literal -1 binary64))) t))
	29.4%	#s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (+ ( z (/ (log (+ 1 (neg y))) t)) (+ (* x (/ (log y) t)) -1)) (*.f64 x (/.f64 (log.f64 y) t))) t))
	20.4%	#s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z))
	20.3%	#s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z))
	20.0%	#s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (*.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z))
	21.8%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t))
	2.3%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (/.f64 (*.f64 t t) t))
✓	43.9%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t))
✓	2.2%	#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t)

Compiler

Compiled 1 057 to 483 computations (54.3% saved)

regimes153.0ms (1.2%)

Memory

-12.2MiB live, 225.7MiB allocated

Counts

54 → 1

Calls

Call 1

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

Outputs
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)))

Calls

6 calls:

48.0ms	y
37.0ms	x
17.0ms	t
17.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))
16.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)

Results

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

Compiler

Compiled 28 to 39 computations (-39.3% saved)

regimes99.0ms (0.8%)

Memory

14.3MiB live, 94.8MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

39.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
21.0ms	z
9.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))
9.0ms	y
9.0ms	t

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`
99.5%	1	`t`
99.5%	1	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
99.5%	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))`

Compiler

Compiled 28 to 39 computations (-39.3% saved)

regimes58.0ms (0.5%)

Memory

-10.1MiB live, 67.5MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

6 calls:

15.0ms	y
14.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))
7.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
7.0ms	t
7.0ms	z

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`
99.5%	1	`t`
99.5%	1	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
99.5%	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))`

Compiler

Compiled 28 to 39 computations (-39.3% saved)

regimes62.0ms (0.5%)

Memory

-22.7MiB live, 64.9MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
92.5%	3	`x`
81.2%	1	`y`
84.2%	2	`z`
81.2%	1	`t`
90.0%	3	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
92.1%	3	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))`

Compiler

Compiled 28 to 39 computations (-39.3% saved)

regimes18.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.4%	3	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
81.2%	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))`
81.2%	1	`x`

Compiler

Compiled 25 to 27 computations (-8% saved)

regimes6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
86.4%	3	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes51.0ms (0.4%)

Memory

2.2MiB live, 39.5MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

24.0ms	z
5.0ms	t
5.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))
5.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
5.0ms	y

Results

Accuracy	Segments	Branch
60.7%	3	`t`
67.1%	3	`x`
43.9%	1	`y`
66.3%	3	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))`
53.9%	3	`z`
54.4%	4	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`

Compiler

Compiled 28 to 39 computations (-39.3% saved)

regimes33.0ms (0.3%)

Memory

-18.2MiB live, 18.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

22.0ms	t
3.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
52.7%	3	`z`
53.6%	3	`t`
43.9%	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))`
43.9%	1	`x`

Compiler

Compiled 14 to 23 computations (-64.3% saved)

regimes4.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
53.5%	3	`t`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes3.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
53.4%	3	`t`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes6.0ms (0%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
43.9%	1	`z`
43.9%	1	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`
43.9%	1	`t`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes35.0ms (0.3%)

Memory

-26.0MiB live, 12.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

28.0ms	z
1.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)
1.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))
1.0ms	t
1.0ms	y

Results

Accuracy	Segments	Branch
2.2%	1	`z`
2.2%	1	`t`
2.2%	1	`x`
2.2%	1	`y`
2.2%	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y))))`
2.2%	1	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t)`

Compiler

Compiled 28 to 39 computations (-39.3% saved)

bsearch78.0ms (0.6%)

Memory

2.5MiB live, 85.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	2.9345078571096235e-86	5.559652020652014e-85
40.0ms	-1.886398595018069e+21	-8708513759944618.0

Samples

38.0ms	106×	1	valid
25.0ms	150×	0	valid

Compiler

Compiled 256 to 323 computations (-26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-log: 35.0ms (64.3% of total)

ival-mult: 11.0ms (20.2% of total)

ival-sub: 3.0ms (5.5% of total)

adjust: 3.0ms (5.5% of total)

ival-add: 2.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4104646821167744500.0	1.2524803729878923e+22
0.0ms	-3.628051139318164e-121	-6.04627585894519e-123

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4104646821167744500.0	1.2524803729878923e+22
0.0ms	-3.628051139318164e-121	-6.04627585894519e-123

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch16.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	8060099860029757000.0	8113456918165243000.0
14.0ms	-2.2412235746968948e+138	-1.461557883010567e+138

Samples

9.0ms	28×	1	valid
3.0ms	36×	0	valid

Compiler

Compiled 48 to 79 computations (-64.6% saved)

Precisions

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

ival-log: 6.0ms (62.8% of total)

ival-sub: 1.0ms (10.5% of total)

adjust: 1.0ms (10.5% of total)

ival-mult: 1.0ms (10.5% of total)

ival-add: 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)

bsearch136.0ms (1.1%)

Memory

-20.6MiB live, 54.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	4.953225659885945e-38	1.0005746998401061e-17
45.0ms	-3.117478367488466e-38	-9.17308179693338e-42

Samples

45.0ms	126×	1	valid
16.0ms	178×	0	valid

Compiler

Compiled 320 to 418 computations (-30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-log: 34.0ms (68.3% of total)

ival-mult: 6.0ms (12.1% of total)

ival-sub: 4.0ms (8% of total)

adjust: 3.0ms (6% of total)

ival-add: 2.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

3.7MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.953225659885945e-38	1.0005746998401061e-17
1.0ms	-3.117478367488466e-38	-9.17308179693338e-42

Compiler

Compiled 263 to 380 computations (-44.5% saved)

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.953225659885945e-38	1.0005746998401061e-17
1.0ms	-3.117478367488466e-38	-9.17308179693338e-42

Compiler

Compiled 187 to 323 computations (-72.7% saved)

simplify42.0ms (0.3%)

Memory

-6.1MiB live, 35.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`-commutative-binary64-.f64`
16×	`+-commutative-binary64-+.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	621
1	119	621
2	129	621
3	133	621
4	134	621

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)))
(fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (neg.f64 t)))
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (-.f64 (*.f64 (log.f64 y) x) (fma.f64 z y t)))
(if (<=.f64 x #s(literal -34000000000000000 binary64)) (fma.f64 (log.f64 y) x #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 t))) (if (<=.f64 x #s(literal 2405975797261313/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) (-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (*.f64 (log.f64 y) x)) t)))
(if (<=.f64 (-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #s(literal -1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (.f64 (log.f64 y) x)) t) (if (<=.f64 (-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #s(literal 5000000000000000000 binary64)) #s(approx (pow (pow (+ ( z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) (fma.f64 (log.f64 y) x #s(approx (+ ( (log (+ 1 (neg y))) z) (neg t)) (neg.f64 t)))))
(if (<=.f64 (-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #s(literal -1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (.f64 (log.f64 y) x)) t) (if (<=.f64 (-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #s(literal 5000000000000000000 binary64)) #s(approx (pow (pow (+ ( z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) (-.f64 #s(approx (+ ( x (log y)) (* z (log (- 1 y)))) (*.f64 (log.f64 y) x)) t)))
(if (<=.f64 x #s(literal -1480000000000000081658310923535720544496543999850777300778458019077006534442645997125411508944603862031705789066561447035960367389800923136 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (.f64 (log.f64 y) x)) (if (<=.f64 x #s(literal 8100000000000000000 binary64)) #s(approx (- (+ ( x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x))))
(if (<=.f64 t #s(literal -5884782876925013/98079714615416886934934209737619787751599303819750539264 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) (if (<=.f64 t #s(literal 2993155353253689/11972621413014756705924586149611790497021399392059392 binary64)) #s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t))))
(if (<=.f64 t #s(literal -5884782876925013/98079714615416886934934209737619787751599303819750539264 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) (if (<=.f64 t #s(literal 2993155353253689/11972621413014756705924586149611790497021399392059392 binary64)) #s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t))))
(if (<=.f64 t #s(literal -5884782876925013/98079714615416886934934209737619787751599303819750539264 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) (if (<=.f64 t #s(literal 2993155353253689/11972621413014756705924586149611790497021399392059392 binary64)) #s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) #s(approx (- (+ ( x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t))))
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t))
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t)

Outputs
(fma.f64 (log.f64 y) x (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t)))
(fma.f64 (log.f64 y) x (fma.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z (neg.f64 t)))
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (-.f64 (*.f64 (log.f64 y) x) (fma.f64 z y t)))
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (-.f64 (*.f64 x (log.f64 y)) (fma.f64 z y t)))
(if (<=.f64 x #s(literal -34000000000000000 binary64)) (fma.f64 (log.f64 y) x #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 t))) (if (<=.f64 x #s(literal 2405975797261313/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) (-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (*.f64 (log.f64 y) x)) t)))
(if (<=.f64 x #s(literal -34000000000000000 binary64)) (fma.f64 (log.f64 y) x #s(approx (+ (* (log (+ 1 (neg y))) z) (neg t)) (neg.f64 t))) (if (<=.f64 x #s(literal 2405975797261313/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (fma.f64 (log1p.f64 (neg.f64 y)) z (neg.f64 t))) (-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (*.f64 x (log.f64 y))) t)))
(if (<=.f64 (-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #s(literal -1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (.f64 (log.f64 y) x)) t) (if (<=.f64 (-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #s(literal 5000000000000000000 binary64)) #s(approx (pow (pow (+ ( z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) (fma.f64 (log.f64 y) x #s(approx (+ ( (log (+ 1 (neg y))) z) (neg t)) (neg.f64 t)))))
(if (<=.f64 (-.f64 (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) y)) z) (.f64 x (log.f64 y))) t) #s(literal -1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (.f64 x (log.f64 y))) t) (if (<=.f64 (-.f64 (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) y)) z) (.f64 x (log.f64 y))) t) #s(literal 5000000000000000000 binary64)) #s(approx (pow (pow (+ ( z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) (fma.f64 (log.f64 y) x #s(approx (+ ( (log (+ 1 (neg y))) z) (neg t)) (neg.f64 t)))))
(if (<=.f64 (-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #s(literal -1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (.f64 (log.f64 y) x)) t) (if (<=.f64 (-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 #s(literal 1 binary64) y)))) t) #s(literal 5000000000000000000 binary64)) #s(approx (pow (pow (+ ( z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) (-.f64 #s(approx (+ ( x (log y)) (* z (log (- 1 y)))) (*.f64 (log.f64 y) x)) t)))
(if (<=.f64 (-.f64 (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) y)) z) (.f64 x (log.f64 y))) t) #s(literal -1162941958872971/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (-.f64 #s(approx (+ (* x (log y)) (* z (log (- 1 y)))) (.f64 x (log.f64 y))) t) (if (<=.f64 (-.f64 (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) y)) z) (.f64 x (log.f64 y))) t) #s(literal 5000000000000000000 binary64)) #s(approx (pow (pow (+ ( z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) (-.f64 #s(approx (+ ( x (log y)) (* z (log (- 1 y)))) (*.f64 x (log.f64 y))) t)))
(if (<=.f64 x #s(literal -1480000000000000081658310923535720544496543999850777300778458019077006534442645997125411508944603862031705789066561447035960367389800923136 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (.f64 (log.f64 y) x)) (if (<=.f64 x #s(literal 8100000000000000000 binary64)) #s(approx (- (+ ( x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 (log.f64 y) x))))
(if (<=.f64 x #s(literal -1480000000000000081658310923535720544496543999850777300778458019077006534442645997125411508944603862031705789066561447035960367389800923136 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (.f64 x (log.f64 y))) (if (<=.f64 x #s(literal 8100000000000000000 binary64)) #s(approx (- (+ ( x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (*.f64 x (log.f64 y)))))
(if (<=.f64 t #s(literal -5884782876925013/98079714615416886934934209737619787751599303819750539264 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) (if (<=.f64 t #s(literal 2993155353253689/11972621413014756705924586149611790497021399392059392 binary64)) #s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) y #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y)) z)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t))))
(if (<=.f64 t #s(literal -5884782876925013/98079714615416886934934209737619787751599303819750539264 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) (if (<=.f64 t #s(literal 2993155353253689/11972621413014756705924586149611790497021399392059392 binary64)) #s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (log (+ 1 (neg y))) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal -1 binary64)) y)) z)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t))))
(if (<=.f64 t #s(literal -5884782876925013/98079714615416886934934209737619787751599303819750539264 binary64)) #s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t)) (if (<=.f64 t #s(literal 2993155353253689/11972621413014756705924586149611790497021399392059392 binary64)) #s(approx (pow (pow (+ (* z (log (+ 1 (neg y)))) (+ (* x (log y)) (neg t))) 1/2) 2) (.f64 #s(approx (log (+ 1 (neg y))) (neg.f64 y)) z)) #s(approx (- (+ ( x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t))))
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) (neg.f64 t))
#s(approx (- (+ (* x (log y)) (* z (log (- 1 y)))) t) t)

soundness1.4s (11.2%)

Memory

14.4MiB live, 1 041.2MiB allocated

Rules

22 162×	`lower-fma.f64`
22 162×	`lower-fma.f32`
9 616×	`lower-fma.f64`
9 616×	`lower-fma.f32`
7 086×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	845	12337
1	2595	11548
0	8199	10609
0	192	1688
1	585	1578
2	1784	1526
3	5194	1494
0	8309	1337
0	12	38
0	19	38
1	67	38
2	506	38
3	6739	38
0	8211	32
0	1433	22134
1	4925	20102
0	8305	18906
0	1377	24092
1	4851	21893
0	8307	20657
0	38	260
0	64	223
1	297	195
2	2397	195
0	8464	192
0	47	227
0	72	213
1	343	193
2	2399	171
0	9043	169

Stop Event

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

Compiler

Compiled 699 to 457 computations (34.6% saved)

preprocess96.0ms (0.8%)

Memory: 13.0MiB live, 250.6MiB allocated
Compiler: Compiled 614 to 222 computations (63.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	48
0	19	48
1	30	48
2	43	48
3	66	48
4	102	48
5	171	48
6	313	48
7	518	48
8	688	48
9	744	48
10	770	48
0	770	42

Iter	Nodes	Cost
0	12	48
0	19	48
1	30	48
2	43	48
3	66	48
4	102	48
5	171	48
6	313	48
7	518	48
8	688	48
9	744	48
10	770	48
0	770	42

start0.0ms (0%)

analyze85.0ms (0.7%)

sample2.5s (19.6%)

explain311.0ms (2.5%)

preprocess158.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.2%)

localize106.0ms (0.8%)

series512.0ms (4%)

simplify454.0ms (3.6%)

rewrite380.0ms (3%)

eval144.0ms (1.1%)

prune32.0ms (0.3%)

simplify365.0ms (2.9%)

localize231.0ms (1.8%)

series257.0ms (2%)

simplify360.0ms (2.8%)

rewrite378.0ms (3%)

eval612.0ms (4.8%)

prune97.0ms (0.8%)

simplify106.0ms (0.8%)

localize142.0ms (1.1%)

series172.0ms (1.4%)

simplify217.0ms (1.7%)

rewrite202.0ms (1.6%)

eval491.0ms (3.9%)

prune78.0ms (0.6%)

simplify116.0ms (0.9%)

localize200.0ms (1.6%)

series361.0ms (2.8%)

simplify405.0ms (3.2%)

rewrite513.0ms (4%)

eval277.0ms (2.2%)

prune86.0ms (0.7%)

regimes153.0ms (1.2%)

regimes99.0ms (0.8%)

regimes58.0ms (0.5%)

regimes62.0ms (0.5%)

regimes18.0ms (0.1%)

regimes6.0ms (0.1%)

regimes51.0ms (0.4%)

regimes33.0ms (0.3%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0%)

regimes35.0ms (0.3%)

bsearch78.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch16.0ms (0.1%)

bsearch136.0ms (1.1%)

bsearch3.0ms (0%)

bsearch2.0ms (0%)

simplify42.0ms (0.3%)

soundness1.4s (11.2%)

preprocess96.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	48
0	19	48
1	30	48
2	43	48
3	66	48
4	102	48
5	171	48
6	313	48
7	518	48
8	688	48
9	744	48
10	770	48
0	770	42