Metrics for System.Random.MWC.Distributions:gamma from mwc-random-0.13.3.2

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

analyze1.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
100%	49.9%	0%	0.1%	0%	49.9%	0%	4

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.8s (24.4%)

Memory

49.3MiB live, 1 211.5MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 533.0ms

ival-mult: 285.0ms (53.5% of total)

ival-log: 114.0ms (21.4% of total)

ival-add: 70.0ms (13.1% of total)

ival-sub: 46.0ms (8.6% of total)

exact: 8.0ms (1.5% of total)

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

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

Bogosity

explain137.0ms (1.9%)

Memory

-2.9MiB live, 201.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
-	-	`(-.f64 #s(literal 1 binary64) z)`
-	-	`(log.f64 z)`
-	-	`#s(literal 1 binary64)`
-	-	`z`
-	-	`(*.f64 x #s(literal 1/2 binary64))`
-	-	`y`
-	-	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
-	-	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
-	-	`#s(literal 1/2 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

39.0ms

512×

valid

Compiler

Compiled 94 to 37 computations (60.6% saved)

Precisions

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

ival-log: 7.0ms (32.7% of total)

ival-mult: 6.0ms (28% of total)

ival-add: 4.0ms (18.7% of total)

ival-sub: 3.0ms (14% of total)

exact: 1.0ms (4.7% of total)

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

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

preprocess129.0ms (1.8%)

Memory

-14.9MiB live, 123.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	115
1	126	113
2	381	112
3	758	112
4	1155	112
5	1500	112
6	2186	110
7	3703	110
8	5763	110
9	7379	110
0	11	12
0	17	12
1	34	12
2	78	12
3	158	12
4	249	12
5	317	12
6	460	12
7	771	12
8	1532	12
9	1950	12
10	2223	12
11	2719	12
12	3043	12
13	3203	12
14	3226	12
0	3226	10

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify54.0ms (0.7%)

Memory

-1.8MiB live, 45.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	17	39
1	34	39
2	78	39
3	158	39
4	249	39
5	317	39
6	460	39
7	771	39
8	1532	39
9	1950	39
10	2223	39
11	2719	39
12	3043	39
13	3203	39
14	3226	39
0	3226	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.5%)

Memory

-11.0MiB live, 39.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 z)
accuracy	0.00390625	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
accuracy	0.01171875	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
accuracy	0.11328125	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Samples

19.0ms

256×

valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

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

ival-log: 3.0ms (29.4% of total)

ival-mult: 3.0ms (29.4% of total)

ival-add: 2.0ms (19.6% of total)

ival-sub: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

series118.0ms (1.6%)

Memory

42.2MiB live, 129.7MiB allocated

Counts

5 → 24

Calls

Call 1

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

Outputs
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(* 1/2 x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(* y (+ 1 (log z)))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(+ 1 (log z))
(+ 1 (+ (log z) (* -1 z)))
(log z)
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(* -1 z)
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(* -1 (log (/ 1 z)))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(+ (log -1) (* -1 (log (/ -1 z))))

Calls

9 calls:

Time	Variable		Point	Expression
63.0ms	y	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
15.0ms	z	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
12.0ms	z	@	-inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
7.0ms	z	@	inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
6.0ms	y	@	inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))

simplify118.0ms (1.6%)

Memory

-1.6MiB live, 141.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	258
1	279	238
2	1051	237
3	4528	235
0	8324	216

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(* 1/2 x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(* y (+ 1 (log z)))
(+ (* -1 (* y z)) (* y (+ 1 (log z))))
(+ 1 (log z))
(+ 1 (+ (log z) (* -1 z)))
(log z)
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))
(* -1 z)
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(* -1 (log (/ 1 z)))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(+ (log -1) (* -1 (log (/ -1 z))))

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

rewrite212.0ms (3%)

Memory

-25.3MiB live, 166.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
0	17	31
1	72	31
2	598	31
0	8142	30

Stop Event

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

Counts

5 → 245

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y)) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (neg.f64 y) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y)) (-.f64 (.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)))) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))
(.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) (fma.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))
(.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) (/.f64 (fma.f64 (neg.f64 y) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) (.f64 #s(literal 1/2 binary64) x)) (fma.f64 (neg.f64 y) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) (.f64 #s(literal 1/2 binary64) x))))
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(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)) (log.f64 z) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (fma.f64 (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)) (log.f64 z) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (/.f64 (neg.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(-.f64 (+.f64 (log.f64 z) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 z (/.f64 z (+.f64 z #s(literal 1 binary64)))))
(-.f64 (+.f64 (log.f64 z) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)) (fma.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
(-.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 z (/.f64 z (+.f64 z #s(literal 1 binary64)))) (log.f64 z)))
(-.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (log.f64 z)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))
(+.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (neg.f64 z))
(+.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (fma.f64 (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)) (log.f64 z) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (fma.f64 (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)) (log.f64 z) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (fma.f64 (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)) (log.f64 z) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (fma.f64 (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)) (log.f64 z) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (/.f64 (neg.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(+.f64 #s(literal 0 binary64) (log.f64 z))
(+.f64 (log.f64 z) #s(literal 0 binary64))
(log.f64 z)

eval34.0ms (0.5%)

Memory: 3.1MiB live, 47.6MiB allocated
Compiler: Compiled 10 261 to 954 computations (90.7% saved)

prune11.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	254	12	266
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	255	12	267

Accuracy

100.0%

Counts

267 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
▶	99.5%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
	70.1%	(fma.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (/.f64 y (fma.f64 (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)) (log.f64 z) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))
	99.9%	(fma.f64 (log.f64 z) y (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(literal 1/2 binary64) x)))
	66.3%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (fma.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	81.4%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))
	75.1%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
▶	60.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
▶	99.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
	65.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y)))
	88.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64)) x))
▶	35.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))

Compiler

Compiled 470 to 348 computations (26% saved)

simplify54.0ms (0.8%)

Memory

-18.9MiB live, 26.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	173
0	43	170
1	80	164
2	149	164
3	291	164
4	472	164
5	637	164
6	1260	164
7	1795	164
8	2047	164
9	2439	164
10	2865	164
11	3126	164
12	3153	164
0	3153	164

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize69.0ms (1%)

Memory

-0.2MiB live, 100.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	(log.f64 z)
accuracy	0.125	(fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.3164034976055602	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
accuracy	0.0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
accuracy	0.00390625	(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y))
accuracy	0.00390625	(-.f64 (log.f64 z) z)
accuracy	0.1171875	(fma.f64 (-.f64 (log.f64 z) z) y y)
accuracy	0.0	(log.f64 z)
accuracy	0.00390625	(-.f64 (log.f64 z) z)
accuracy	0.1171875	(fma.f64 (-.f64 (log.f64 z) z) y y)
accuracy	25.176028685158993	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
accuracy	0.0	(*.f64 (neg.f64 y) z)
accuracy	0.0	(neg.f64 y)
accuracy	41.00968382463817	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))
accuracy	0.0	(log.f64 z)
accuracy	0.00390625	(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
accuracy	0.0078125	(+.f64 (log.f64 z) #s(literal 1 binary64))
accuracy	0.05859375	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))

Samples

47.0ms

256×

valid

Compiler

Compiled 159 to 28 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 12.0ms (38.7% of total)

ival-mult: 11.0ms (35.4% of total)

ival-sub: 3.0ms (9.7% of total)

ival-log: 3.0ms (9.7% of total)

ival-neg: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series71.0ms (1%)

Memory

-12.9MiB live, 79.2MiB allocated

Counts

16 → 58

Calls

Call 1

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

Outputs
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+ y (* y (- (log z) z)))
(+ y (+ (* 1/2 x) (* y (- (log z) z))))
(+ (* y (log z)) (* y (- 1 z)))
(+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))
(* y (log z))
(+ (* 1/2 x) (* y (log z)))
(* 1/2 x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* x (+ 1/2 (+ (/ y x) (/ (* y (- (log z) z)) x))))
(* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))
(* x (+ 1/2 (/ (* y (log z)) x)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ y (* y (- (log z) z))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2)))
(* -1 (* y z))
(* -1 y)
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* y (+ (log z) (* 1/2 (/ x y))))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(* -1 (* y (- (* -1 (- (log z) z)) 1)))
(* -1 (* y (- (+ (* -1 (- (log z) z)) (* -1/2 (/ x y))) 1)))
(* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))
(* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))
(* -1 (* y (+ (* -1 (log z)) (* -1/2 (/ x y)))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+ 1 (log z))
(+ 1 (+ (log z) (* -1 z)))
(log z)
(+ y (* y (log z)))
(+ y (+ (* -1 (* y z)) (* y (log z))))
(+ (log z) (* -1 z))
(+ y (+ (* 1/2 x) (* y (log z))))
(+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))
1
(+ 1 (* -1 z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* -1 z)
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(+ 1 (* -1 (log (/ 1 z))))
(* -1 (log (/ 1 z)))
(* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))
(* z (- (* -1 (/ (log (/ 1 z)) z)) 1))
(* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))
(* z (- (/ 1 z) 1))
(+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))
(+ (log -1) (* -1 (log (/ -1 z))))
(* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (- 1 (/ 1 z))))
(+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	y	@	inf	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (neg y) z) (neg y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (- (log z) z) y) y)) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (* 1/2 x))
10.0ms	z	@	-inf	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (neg y) z) (neg y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (- (log z) z) y) y)) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (* 1/2 x))
10.0ms	y	@	0	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (neg y) z) (neg y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (- (log z) z) y) y)) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (* 1/2 x))
9.0ms	z	@	inf	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (neg y) z) (neg y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (- (log z) z) y) y)) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (* 1/2 x))
8.0ms	y	@	-inf	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (neg y) z) (neg y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* 1/2 x) (+ (* (- (log z) z) y) y)) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (* 1/2 x))

simplify115.0ms (1.6%)

Memory

21.7MiB live, 116.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	614
1	616	577
2	2137	572
3	7457	572
0	8053	524

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 58

Calls

Call 1

Inputs
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(+ y (* y (- (log z) z)))
(+ y (+ (* 1/2 x) (* y (- (log z) z))))
(+ (* y (log z)) (* y (- 1 z)))
(+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))
(* y (log z))
(+ (* 1/2 x) (* y (log z)))
(* 1/2 x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* x (+ 1/2 (+ (/ y x) (/ (* y (- (log z) z)) x))))
(* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))
(* x (+ 1/2 (/ (* y (log z)) x)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ y (* y (- (log z) z))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2)))
(* -1 (* y z))
(* -1 y)
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* y (+ (log z) (* 1/2 (/ x y))))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(* -1 (* y (- (* -1 (- (log z) z)) 1)))
(* -1 (* y (- (+ (* -1 (- (log z) z)) (* -1/2 (/ x y))) 1)))
(* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))
(* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))
(* -1 (* y (+ (* -1 (log z)) (* -1/2 (/ x y)))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+ 1 (log z))
(+ 1 (+ (log z) (* -1 z)))
(log z)
(+ y (* y (log z)))
(+ y (+ (* -1 (* y z)) (* y (log z))))
(+ (log z) (* -1 z))
(+ y (+ (* 1/2 x) (* y (log z))))
(+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))
1
(+ 1 (* -1 z))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* -1 z)
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(+ 1 (* -1 (log (/ 1 z))))
(* -1 (log (/ 1 z)))
(* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))
(* z (- (* -1 (/ (log (/ 1 z)) z)) 1))
(* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))
(* z (- (/ 1 z) 1))
(+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))
(+ (log -1) (* -1 (log (/ -1 z))))
(* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (- 1 (/ 1 z))))
(+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))

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

rewrite264.0ms (3.7%)

Memory

31.8MiB live, 256.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	135
0	43	132
1	210	126
2	1692	126
0	8597	126

Stop Event

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

Counts

16 → 744

Calls

Call 1

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

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

eval157.0ms (2.2%)

Memory: -48.9MiB live, 154.3MiB allocated
Compiler: Compiled 23 664 to 1 942 computations (91.8% saved)

prune20.0ms (0.3%)

Memory

3.5MiB live, 49.6MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	560	10	570
Fresh	5	2	7
Picked	2	3	5
Done	0	0	0
Total	567	15	582

Accuracy

100.0%

Counts

582 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.9%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (log.f64 z) #s(literal 1/2 binary64)) x)))
	60.1%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (log.f64 z) y)))
	70.1%	(fma.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (/.f64 y (fma.f64 (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)) (log.f64 z) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))
▶	75.1%	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
	66.3%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (fma.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	65.3%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y)))
▶	88.8%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64)) x))
	83.6%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 (log.f64 z) z)) x) y) #s(literal 1/2 binary64))))
✓	60.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
▶	60.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
✓	99.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
	47.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z)) y) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
▶	60.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y))
✓	35.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))
	25.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (- (log z) z) y) y) (fma.f64 (log.f64 z) y y)))

Compiler

Compiled 638 to 462 computations (27.6% saved)

simplify100.0ms (1.4%)

Memory

-2.0MiB live, 142.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (log.f64 z) #s(literal 1/2 binary64)) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (log.f64 z) #s(literal 1/2 binary64)) x)))
cost-diff	2	(*.f64 (fma.f64 (/.f64 y x) (log.f64 z) #s(literal 1/2 binary64)) x)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) z) y)
cost-diff	0	(log.f64 z)
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
cost-diff	2	(fma.f64 (log.f64 z) y (*.f64 (-.f64 #s(literal 1 binary64) z) y))
cost-diff	0	(-.f64 (log.f64 z) z)
cost-diff	0	(*.f64 (-.f64 (log.f64 z) z) y)
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y))
cost-diff	1	(+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- (+ (log z) 1) z) (neg.f64 z))
cost-diff	0	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 y x)
cost-diff	0	(fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64)) x))
cost-diff	3	(*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	259
0	65	257
1	115	257
2	216	257
3	585	257
4	1360	252
5	3274	252
6	7782	252
0	9044	233

Stop Event

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

Calls

Call 1

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

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

localize113.0ms (1.6%)

Memory

19.0MiB live, 113.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (log.f64 z) #s(literal 1/2 binary64)) x))
accuracy	0.12109375	(fma.f64 (/.f64 y x) (log.f64 z) #s(literal 1/2 binary64))
accuracy	0.3164034976055602	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (log.f64 z) #s(literal 1/2 binary64)) x)))
accuracy	7.353305976751956	(*.f64 (fma.f64 (/.f64 y x) (log.f64 z) #s(literal 1/2 binary64)) x)
accuracy	0.0	(log.f64 z)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) z) y)
accuracy	0.13509750976844204	(fma.f64 (log.f64 z) y (*.f64 (-.f64 #s(literal 1 binary64) z) y))
accuracy	25.176028685158993	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
accuracy	0.00390625	(-.f64 (log.f64 z) z)
accuracy	0.12034123016428752	(+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y)
accuracy	0.1484375	(*.f64 (-.f64 (log.f64 z) z) y)
accuracy	25.176028685158993	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	(neg.f64 z)
accuracy	0.05859375	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
accuracy	32.468296984823255	#s(approx (- (+ (log z) 1) z) (neg.f64 z))
accuracy	0.00390625	(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
accuracy	0.0078125	(+.f64 (log.f64 z) #s(literal 1 binary64))
accuracy	0.11328125	(fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64))
accuracy	7.087534431538521	(*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64)) x)

Samples

78.0ms

256×

valid

Compiler

Compiled 209 to 34 computations (83.7% saved)

Precisions

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

ival-mult: 39.0ms (65.3% of total)

ival-add: 10.0ms (16.7% of total)

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

ival-sub: 3.0ms (5% of total)

ival-div: 2.0ms (3.3% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series151.0ms (2.1%)

Memory

-4.0MiB live, 132.3MiB allocated

Counts

23 → 91

Calls

Call 1

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

Outputs
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(/ (* y (- (+ 1 (log z)) z)) x)
(/ (+ (* 1/2 x) (* y (- (+ 1 (log z)) z))) x)
(/ y x)
(* 1/2 x)
(* y (log z))
(+ (* 1/2 x) (* y (log z)))
(+ (* y (log z)) (* y (- 1 z)))
(+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))
(/ (* y (log z)) x)
(/ (+ (* 1/2 x) (* y (log z))) x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
1/2
(+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))
(* x (+ 1/2 (/ (* y (log z)) x)))
(* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))
(+ 1/2 (/ (* y (log z)) x))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))
(+ (* 1/2 x) (* x (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))
(+ 1/2 (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x))))
(* y (- (log z) z))
(* y (- 1 z))
(* x (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x))))
(* y (+ (* 1/2 (/ x y)) (* x (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))
(* y (- (+ (/ 1 x) (+ (* 1/2 (/ 1 y)) (/ (log z) x))) (/ z x)))
(* y (+ (log z) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (/ 1 y)) (/ (log z) x)))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (log z)) z) x)) (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* -1 (- (log z) z)) 1)))
(* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))
(* -1 (* y (+ (* -1 (log z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))
(* -1 (* y (- (* -1 (/ (log z) x)) (* 1/2 (/ 1 y)))))
(* x (+ 1/2 (/ (* y (+ 1 (log z))) x)))
(+ (* -1 (* y z)) (* x (+ 1/2 (/ (* y (+ 1 (log z))) x))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+ 1/2 (/ (* y (+ 1 (log z))) x))
(+ 1/2 (+ (* -1 (/ (* y z) x)) (/ (* y (+ 1 (log z))) x)))
(+ 1 (log z))
(+ 1 (+ (log z) (* -1 z)))
(* -1 z)
(+ y (* y (log z)))
(+ y (+ (* -1 (* y z)) (* y (log z))))
(+ (* -1 (* y z)) (* y (log z)))
(log z)
(+ (log z) (* -1 z))
y
(+ y (* -1 (* y z)))
(+ y (+ (* 1/2 x) (* y (log z))))
(+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))
1
(+ 1 (* -1 z))
(* -1 (* y z))
(* z (+ (* -1 y) (/ (* x (+ 1/2 (/ (* y (+ 1 (* -1 (log (/ 1 z))))) x))) z)))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* -1 (/ (* y z) x))
(* z (+ (* -1 (/ y x)) (+ (* 1/2 (/ 1 z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) (* x z)))))
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))
(* z (+ (* -1 y) (* -1 (/ (* y (log (/ 1 z))) z))))
(* z (- (* -1 (/ (log (/ 1 z)) z)) 1))
(* -1 (log (/ 1 z)))
(* z (+ (* -1 y) (/ y z)))
(* x (+ 1/2 (* -1 (/ (* y (log (/ 1 z))) x))))
(* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))
(* z (- (/ 1 z) 1))
(+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))
(+ 1 (* -1 (log (/ 1 z))))
(+ 1/2 (* -1 (/ (* y (log (/ 1 z))) x)))
(* -1 (* z (+ y (* -1 (/ (* x (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x)) z)) (/ y x))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* -1 (* z (+ y (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))
(+ (log -1) (* -1 (log (/ -1 z))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* x (+ 1/2 (/ (* y (+ (log -1) (* -1 (log (/ -1 z))))) x)))
(* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (- 1 (/ 1 z))))
(+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))
(+ 1/2 (/ (* y (+ (log -1) (* -1 (log (/ -1 z))))) x))

Calls

9 calls:

Time	Variable		Point	Expression
72.0ms	x	@	inf	((* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (/ y x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (+ (* (- (log z) z) y) y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (- (log z) z) y) (- (log z) z) (+ (* (log z) y) (* (- 1 z) y)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log z) (* (- 1 z) y) (* (+ (* (/ y x) (log z)) 1/2) x) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (+ (log z) 1) (- (+ (log z) 1) z) (+ (* (/ y x) (log z)) 1/2))
20.0ms	y	@	-inf	((* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (/ y x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (+ (* (- (log z) z) y) y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (- (log z) z) y) (- (log z) z) (+ (* (log z) y) (* (- 1 z) y)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log z) (* (- 1 z) y) (* (+ (* (/ y x) (log z)) 1/2) x) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (+ (log z) 1) (- (+ (log z) 1) z) (+ (* (/ y x) (log z)) 1/2))
13.0ms	z	@	-inf	((* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (/ y x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (+ (* (- (log z) z) y) y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (- (log z) z) y) (- (log z) z) (+ (* (log z) y) (* (- 1 z) y)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log z) (* (- 1 z) y) (* (+ (* (/ y x) (log z)) 1/2) x) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (+ (log z) 1) (- (+ (log z) 1) z) (+ (* (/ y x) (log z)) 1/2))
10.0ms	y	@	0	((* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (/ y x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (+ (* (- (log z) z) y) y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (- (log z) z) y) (- (log z) z) (+ (* (log z) y) (* (- 1 z) y)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log z) (* (- 1 z) y) (* (+ (* (/ y x) (log z)) 1/2) x) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (+ (log z) 1) (- (+ (log z) 1) z) (+ (* (/ y x) (log z)) 1/2))
9.0ms	y	@	inf	((* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (/ y x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (+ (* (- (log z) z) y) y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* (- (log z) z) y) (- (log z) z) (+ (* (log z) y) (* (- 1 z) y)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (log z) (* (- 1 z) y) (* (+ (* (/ y x) (log z)) 1/2) x) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (+ (log z) 1) (- (+ (log z) 1) z) (+ (* (/ y x) (log z)) 1/2))

simplify135.0ms (1.9%)

Memory

23.4MiB live, 163.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	1013
1	885	956
2	3130	931
0	8261	862

Stop Event

1×	iter limit
1×	node limit

Counts

91 → 90

Calls

Call 1

Inputs
(* y (- (+ 1 (log z)) z))
(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
(/ (* y (- (+ 1 (log z)) z)) x)
(/ (+ (* 1/2 x) (* y (- (+ 1 (log z)) z))) x)
(/ y x)
(* 1/2 x)
(* y (log z))
(+ (* 1/2 x) (* y (log z)))
(+ (* y (log z)) (* y (- 1 z)))
(+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))
(/ (* y (log z)) x)
(/ (+ (* 1/2 x) (* y (log z))) x)
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
1/2
(+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))
(* x (+ 1/2 (/ (* y (log z)) x)))
(* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))
(+ 1/2 (/ (* y (log z)) x))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))
(+ (* 1/2 x) (* x (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))
(+ 1/2 (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x))))
(* y (- (log z) z))
(* y (- 1 z))
(* x (* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x))))
(* y (+ (* 1/2 (/ x y)) (* x (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))))
(* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))
(* y (- (+ (/ 1 x) (/ (log z) x)) (/ z x)))
(* y (- (+ (/ 1 x) (+ (* 1/2 (/ 1 y)) (/ (log z) x))) (/ z x)))
(* y (+ (log z) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (/ 1 y)) (/ (log z) x)))
(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (log z)) z) x)) (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* -1 (- (log z) z)) 1)))
(* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))
(* -1 (* y (+ (* -1 (log z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))
(* -1 (* y (- (* -1 (/ (log z) x)) (* 1/2 (/ 1 y)))))
(* x (+ 1/2 (/ (* y (+ 1 (log z))) x)))
(+ (* -1 (* y z)) (* x (+ 1/2 (/ (* y (+ 1 (log z))) x))))
(+ (* 1/2 x) (* y (+ 1 (log z))))
(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(+ 1/2 (/ (* y (+ 1 (log z))) x))
(+ 1/2 (+ (* -1 (/ (* y z) x)) (/ (* y (+ 1 (log z))) x)))
(+ 1 (log z))
(+ 1 (+ (log z) (* -1 z)))
(* -1 z)
(+ y (* y (log z)))
(+ y (+ (* -1 (* y z)) (* y (log z))))
(+ (* -1 (* y z)) (* y (log z)))
(log z)
(+ (log z) (* -1 z))
y
(+ y (* -1 (* y z)))
(+ y (+ (* 1/2 x) (* y (log z))))
(+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))
1
(+ 1 (* -1 z))
(* -1 (* y z))
(* z (+ (* -1 y) (/ (* x (+ 1/2 (/ (* y (+ 1 (* -1 (log (/ 1 z))))) x))) z)))
(* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))
(* -1 (/ (* y z) x))
(* z (+ (* -1 (/ y x)) (+ (* 1/2 (/ 1 z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) (* x z)))))
(* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))
(* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))
(* z (+ (* -1 y) (* -1 (/ (* y (log (/ 1 z))) z))))
(* z (- (* -1 (/ (log (/ 1 z)) z)) 1))
(* -1 (log (/ 1 z)))
(* z (+ (* -1 y) (/ y z)))
(* x (+ 1/2 (* -1 (/ (* y (log (/ 1 z))) x))))
(* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))
(* z (- (/ 1 z) 1))
(+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))
(+ 1 (* -1 (log (/ 1 z))))
(+ 1/2 (* -1 (/ (* y (log (/ 1 z))) x)))
(* -1 (* z (+ y (* -1 (/ (* x (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) x)) z)) (/ y x))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))
(* -1 (* z (+ y (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 z))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))
(+ (log -1) (* -1 (log (/ -1 z))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* x (+ 1/2 (/ (* y (+ (log -1) (* -1 (log (/ -1 z))))) x)))
(* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
(* -1 (* z (- 1 (/ 1 z))))
(+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))
(+ 1/2 (/ (* y (+ (log -1) (* -1 (log (/ -1 z))))) x))

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

rewrite342.0ms (4.8%)

Memory

-12.4MiB live, 287.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	228
0	65	226
1	281	226
2	2088	226
0	9824	214

Stop Event

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

Counts

23 → 490

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (/.f64 y x) #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (/.f64 y x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) x) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) x) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) x) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x)) (.f64 x (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x)) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) x) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 x (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x)) #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x)) (.f64 x (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (neg.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 3 binary64))) x)) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (-.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 3 binary64))) x) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x)))
(fma.f64 x (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x)))
(+.f64 (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) x) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 x (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (/.f64 y x) #s(literal 1/2 binary64)) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) x) #s(literal 2 binary64))))))))
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(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 z)) (/.f64 y x)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 y x)) (log.f64 z)))
(+.f64 (/.f64 (pow.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 (log.f64 z) y) x) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 (log.f64 z) y) x) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 (*.f64 (log.f64 z) y) x) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 (log.f64 z) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 (*.f64 (log.f64 z) y) x) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (*.f64 (log.f64 z) y) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 z) y) x))

eval69.0ms (1%)

Memory: 17.2MiB live, 151.0MiB allocated
Compiler: Compiled 23 091 to 2 222 computations (90.4% saved)

prune21.0ms (0.3%)

Memory

-5.3MiB live, 54.1MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	518	7	525
Fresh	3	4	7
Picked	1	4	5
Done	0	3	3
Total	522	18	540

Accuracy

100.0%

Counts

540 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.1%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (log.f64 z) y)))
✓	75.1%	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
	58.1%	(fma.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (log.f64 z) #s(literal 1/2 binary64)) x)))
▶	66.3%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (fma.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
▶	65.3%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y)))
✓	88.8%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64)) x))
▶	58.1%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) x) y #s(literal 1/2 binary64))) x))
	32.2%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (/.f64 (neg.f64 y) x) z)) x))
▶	41.9%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64)) x))
✓	60.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
✓	60.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
✓	99.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
	34.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z (+.f64 (log.f64 z) z) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) y))
	47.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (.f64 z z)) y) (+.f64 (log.f64 z) z)) y))
✓	60.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y))
	25.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (*.f64 #s(approx (- (log z) z) (log.f64 z)) y) y))
✓	35.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))
▶	25.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (- (log z) z) y) y) (fma.f64 (log.f64 z) y y)))

Compiler

Compiled 759 to 523 computations (31.1% saved)

simplify93.0ms (1.3%)

Memory

-13.5MiB live, 78.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) x) y #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) x) y #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) x) y #s(literal 1/2 binary64))) x)
cost-diff	0	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) x) y #s(literal 1/2 binary64))) x))
cost-diff	0	(log.f64 z)
cost-diff	0	(fma.f64 (log.f64 z) y y)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y))
cost-diff	0	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y)))
cost-diff	0	(log.f64 z)
cost-diff	0	(fma.f64 (log.f64 z) y y)
cost-diff	0	#s(approx (+ (* (- (log z) z) y) y) (fma.f64 (log.f64 z) y y))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (- (log z) z) y) y) (fma.f64 (log.f64 z) y y)))
cost-diff	0	#s(approx (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64)) x))
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y)
cost-diff	0	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (fma.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	1	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (fma.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	367
0	69	367
1	136	367
2	276	367
3	746	367
4	1747	367
5	3495	367
6	7276	367
0	8051	350

Stop Event

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

Calls

Call 1

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

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

localize169.0ms (2.4%)

Memory

23.1MiB live, 117.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) x) y #s(literal 1/2 binary64))
accuracy	0.24609375	(/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) x)
accuracy	7.087534431538521	(.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) x) y #s(literal 1/2 binary64))) x)
accuracy	22.08969931867004	#s(approx (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) x) y #s(literal 1/2 binary64)))
accuracy	0.0	(log.f64 z)
accuracy	0.00390625	(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y))
accuracy	0.21875	(fma.f64 (log.f64 z) y y)
accuracy	22.186521696405627	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y)))
accuracy	0.0	(log.f64 z)
accuracy	0.21875	(fma.f64 (log.f64 z) y y)
accuracy	25.176028685158993	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (- (log z) z) y) y) (fma.f64 (log.f64 z) y y)))
accuracy	31.14184532786685	#s(approx (+ (* (- (log z) z) y) y) (fma.f64 (log.f64 z) y y))
accuracy	0.0	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64)) x))
accuracy	7.087534431538521	(.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64)) x)
accuracy	37.24167388941519	#s(approx (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64))
accuracy	0.23341752930532603	(fma.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.37802514652663044	(pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))
accuracy	2.0560935936846576	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y)
accuracy	19.14584215622097	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (fma.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))

Samples

138.0ms

256×

valid

Compiler

Compiled 281 to 42 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-div: 45.0ms (52.3% of total)

ival-mult: 16.0ms (18.6% of total)

ival-add: 13.0ms (15.1% of total)

ival-sub: 6.0ms (7% of total)

ival-log: 3.0ms (3.5% of total)

ival-pow: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series452.0ms (6.3%)

Memory

-2.7MiB live, 134.1MiB allocated

Counts

20 → 121

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
185.0ms	x	@	0	((+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1))) (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1)) (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (+ (* (log z) y) y) (log z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (+ (* (/ (+ 1 (log z)) x) y) 1/2) (pow (- z (log z)) 3) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1) (/ (+ 1 (log z)) x))
175.0ms	y	@	inf	((+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1))) (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1)) (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (+ (* (log z) y) y) (log z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (+ (* (/ (+ 1 (log z)) x) y) 1/2) (pow (- z (log z)) 3) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1) (/ (+ 1 (log z)) x))
19.0ms	z	@	inf	((+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1))) (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1)) (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (+ (* (log z) y) y) (log z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (+ (* (/ (+ 1 (log z)) x) y) 1/2) (pow (- z (log z)) 3) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1) (/ (+ 1 (log z)) x))
14.0ms	z	@	-inf	((+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1))) (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1)) (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (+ (* (log z) y) y) (log z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (+ (* (/ (+ 1 (log z)) x) y) 1/2) (pow (- z (log z)) 3) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1) (/ (+ 1 (log z)) x))
12.0ms	y	@	-inf	((+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1))) (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1)) (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (+ (* (log z) y) y) (log z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* 1/2 x) (+ (* (log z) y) y)) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) x) (+ (* (/ y x) (- (+ (log z) 1) z)) 1/2) (+ (* (/ (+ 1 (log z)) x) y) 1/2) (pow (- z (log z)) 3) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1) (/ (+ 1 (log z)) x))

simplify420.0ms (5.8%)

Memory

-24.9MiB live, 169.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	578	5431
1	2063	4639
0	8677	4445

Stop Event

1×	iter limit
1×	node limit

Counts

121 → 121

Calls

Call 1

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

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

rewrite203.0ms (2.8%)

Memory

20.2MiB live, 210.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	315
0	69	315
1	351	285
2	2902	285
0	9478	266

Stop Event

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

Counts

20 → 347

Calls

Call 1

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

Outputs
(/.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 (log.f64 z) z) y y)) (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 (log.f64 z) z) y y)) (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 (log.f64 z) z) y y)) (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (-.f64 (log.f64 z) z) y y)) (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) y) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (log.f64 z))) (.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 y (log.f64 z)) #s(literal 2 binary64))))) (.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (log.f64 z)))))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) y) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 y (log.f64 z)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (log.f64 z))))) (.f64 (+.f64 z #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 y (log.f64 z)) #s(literal 3 binary64))))) (.f64 (+.f64 z #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 y (log.f64 z)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 y (log.f64 z)))))))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) y) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (log.f64 z))) (.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 y (log.f64 z)) #s(literal 2 binary64))))) (.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 y (log.f64 z)))))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 y (log.f64 z)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (log.f64 z))))) (.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 y (log.f64 z)) #s(literal 3 binary64))))) (.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 y (log.f64 z)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (log.f64 z)))))))
(/.f64 (fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (log.f64 z))) (.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 y (log.f64 z)) #s(literal 2 binary64))))) (.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (log.f64 z)))))
(/.f64 (fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 y (log.f64 z)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (log.f64 z))))) (.f64 (+.f64 z #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 y (log.f64 z)) #s(literal 3 binary64))))) (.f64 (+.f64 z #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 y (log.f64 z)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 y (log.f64 z)))))))
(/.f64 (fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (log.f64 z))) (.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 y (log.f64 z)) #s(literal 2 binary64))))) (.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 y (log.f64 z)))))
(/.f64 (fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 y (log.f64 z)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (log.f64 z))))) (.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 y (log.f64 z)) #s(literal 3 binary64))))) (.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 y (log.f64 z)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y (log.f64 z)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 z) z) y y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 x (log.f64 z))) (.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 z)) x))
(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (log.f64 z) (-.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (log.f64 z) (log.f64 z) (-.f64 #s(literal 1 binary64) (log.f64 z))) x))
(/.f64 (neg.f64 (+.f64 (log.f64 z) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) x)
(neg.f64 (/.f64 (neg.f64 (+.f64 (log.f64 z) #s(literal 1 binary64))) x))
(neg.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (neg.f64 x)))
(+.f64 (/.f64 (log.f64 z) x) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log.f64 z) x))

eval95.0ms (1.3%)

Memory: -20.8MiB live, 168.3MiB allocated
Compiler: Compiled 24 800 to 2 485 computations (90% saved)

prune58.0ms (0.8%)

Memory

-0.7MiB live, 53.4MiB allocated

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	518	6	524
Fresh	2	4	6
Picked	1	4	5
Done	1	6	7
Total	522	20	542

Accuracy

100.0%

Counts

542 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.2%	(fma.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (expm1.f64 (.f64 (+.f64 (log1p.f64 (-.f64 z (log.f64 z))) (log.f64 (-.f64 z (log.f64 z)))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64)) (-.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) x))
	60.1%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (log.f64 z) y)))
✓	75.1%	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
	58.1%	(fma.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (log.f64 z) #s(literal 1/2 binary64)) x)))
✓	65.3%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y)))
✓	58.1%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) x) y #s(literal 1/2 binary64))) x))
	58.1%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/2 binary64))) x))
	32.2%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (/.f64 (neg.f64 y) x) z)) x))
	27.0%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (neg.f64 y) (/.f64 z x))) x))
✓	41.9%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64)) x))
	64.8%	#s(approx (+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1))) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 y (*.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) y)) (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (log.f64 z))) (log.f64 z) #s(literal 1 binary64)))))
✓	60.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
✓	60.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
✓	99.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
✓	60.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y))
	25.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (*.f64 #s(approx (- (log z) z) (log.f64 z)) y) y))
✓	35.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))
✓	25.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (- (log z) z) y) y) (fma.f64 (log.f64 z) y y)))
	25.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (- (log z) z) y) y) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64)))))
	25.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (- (log z) z) y) y) (/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) y) (fma.f64 (log.f64 z) (-.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)))))

Compiler

Compiled 1 500 to 582 computations (61.2% saved)

regimes75.0ms (1%)

Memory

51.3MiB live, 180.6MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64)) x))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))
(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (neg.f64 y) (/.f64 z x))) x))
#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (*.f64 (/.f64 (neg.f64 y) x) z)) x))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (- (log z) z) y) y) (fma.f64 (log.f64 z) y y)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (*.f64 #s(approx (- (log z) z) (log.f64 z)) y) y))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y)))
#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (log.f64 z) y)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(fma.f64 (log.f64 z) y (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/2 binary64))) x))
#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) x) y #s(literal 1/2 binary64))) x))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #s(literal 1/2 binary64)) x))
(fma.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (log.f64 z) #s(literal 1/2 binary64)) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (log.f64 z) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 (log.f64 z) z)) x) y) #s(literal 1/2 binary64))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (- (log z) z) y) y) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64)))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (.f64 z z)) y) (+.f64 (log.f64 z) z)) y))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 z z)) y) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (- (log z) z) y) y) (/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) #s(literal 1 binary64)) y) (fma.f64 (log.f64 z) (-.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ (* (- z (log z)) (+ (- z (log z)) 1)) 1))) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 y (*.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) y)) (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (log.f64 z))) (log.f64 z) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (fma.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z (+.f64 (log.f64 z) z) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) y))
(fma.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (/.f64 y (fma.f64 (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)) (log.f64 z) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)))) (expm1.f64 (.f64 (+.f64 (log1p.f64 (-.f64 z (log.f64 z))) (log.f64 (-.f64 z (log.f64 z)))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (-.f64 (log.f64 z) z) #s(literal 2 binary64)) (-.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) x))

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

Calls

7 calls:

13.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
12.0ms	y
12.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
9.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
9.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
99.9%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
99.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.9%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes60.0ms (0.8%)

Memory

-43.3MiB live, 54.7MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

7 calls:

19.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
18.0ms	z
4.0ms	(*.f64 x #s(literal 1/2 binary64))
4.0ms	x
4.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Results

Accuracy	Segments	Branch
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
99.9%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
99.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.9%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes30.0ms (0.4%)

Memory

31.0MiB live, 31.0MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

4.0ms	(*.f64 x #s(literal 1/2 binary64))
4.0ms	x
4.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
4.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
4.0ms	z

Results

Accuracy	Segments	Branch
98.0%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
88.6%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
90.1%	3	`(*.f64 x #s(literal 1/2 binary64))`
82.5%	3	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
90.1%	3	`x`
87.9%	3	`y`
98.3%	2	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes33.0ms (0.5%)

Memory

-32.3MiB live, 15.5MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

22.0ms	(*.f64 x #s(literal 1/2 binary64))
3.0ms	x
3.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
3.0ms	z

Results

Accuracy	Segments	Branch
90.1%	3	`(*.f64 x #s(literal 1/2 binary64))`
90.1%	3	`x`
80.5%	4	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
78.5%	2	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes14.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

3.0ms	(*.f64 x #s(literal 1/2 binary64))
3.0ms	x
3.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
3.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
3.0ms	y

Results

Accuracy	Segments	Branch
75.1%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
77.0%	2	`y`
75.1%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
80.3%	3	`(*.f64 x #s(literal 1/2 binary64))`
80.3%	3	`x`

Compiler

Compiled 25 to 30 computations (-20% saved)

regimes25.0ms (0.4%)

Memory

-23.8MiB live, 20.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	(*.f64 x #s(literal 1/2 binary64))
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
75.1%	1	`y`
75.1%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
75.1%	1	`z`
75.1%	1	`(*.f64 x #s(literal 1/2 binary64))`
75.1%	1	`x`

Compiler

Compiled 12 to 21 computations (-75% saved)

regimes10.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

7 calls:

1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
1.0ms	x
1.0ms	(*.f64 x #s(literal 1/2 binary64))
1.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
1.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Results

Accuracy	Segments	Branch
62.2%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
64.7%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
54.6%	3	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
58.7%	3	`y`
62.2%	2	`z`
57.0%	3	`(*.f64 x #s(literal 1/2 binary64))`
57.0%	3	`x`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
1.0ms	x
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
1.0ms	(*.f64 x #s(literal 1/2 binary64))
1.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Results

Accuracy	Segments	Branch
41.9%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
41.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
41.9%	1	`x`
41.9%	1	`y`
41.9%	1	`z`
41.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
41.9%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch28.0ms (0.4%)

Memory

-23.8MiB live, 25.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	8.023751711910142e-5	1.4861060957491994

Samples

8.0ms

128×

valid

Compiler

Compiled 295 to 257 computations (12.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-log: 2.0ms (38.6% of total)

ival-mult: 2.0ms (38.6% of total)

ival-sub: 1.0ms (19.3% of total)

ival-add: 1.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.4%)

Memory

1.1MiB live, 45.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.2785285529621525e-49	7.060073588175596e-49
14.0ms	-1.6679991893486296e-94	-6.00224158138209e-96

Samples

15.0ms

192×

valid

Compiler

Compiled 423 to 365 computations (13.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 4.0ms (38.1% of total)

ival-log: 2.0ms (19% of total)

ival-mult: 2.0ms (19% of total)

ival-sub: 1.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch53.0ms (0.7%)

Memory

8.6MiB live, 54.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.9649878067777916e-186	1.4054330762030454e-180
34.0ms	-1.1059183475660793e-241	-2.0201671029657307e-252

Samples

37.0ms

304×

valid

Compiler

Compiled 794 to 625 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-log: 4.0ms (32.3% of total)

ival-mult: 4.0ms (32.3% of total)

ival-add: 3.0ms (24.2% of total)

ival-sub: 1.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0209262994217054e-10	0.012246775153465962
0.0ms	-1.5016245091219863e+172	-9.632227317635158e+165

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify101.0ms (1.4%)

Memory

-18.5MiB live, 27.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	278
1	123	278
2	204	278
3	450	278
4	859	278
5	1476	278
6	2994	278
7	3745	278
8	4625	278
9	5136	278
10	5380	278
11	5731	278
12	5735	278
13	5735	278
14	5735	278

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
(if (<=.f64 z #s(literal 1261007895663739/4503599627370496 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y))) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 x #s(literal -6463189187793589/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464 binary64)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 8951544791827361/26328072917139296674479506920917608079723773850137277813577744384 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -593299522271499/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 3970774558442963/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (- (log z) z) y) y) (fma.f64 (log.f64 z) y y))) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal -10000000000000000826871628571058023676436276965152235336326534308832671394311356729372731664122173896717192642523265688348930066834399772699475577180106550229078889679814656 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (neg.f64 y) z)) (if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 7737125245533627/19342813113834066795298816 binary64)) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))))
#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64)) x))

Outputs
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (-.f64 (log.f64 z) z) y y)))
(if (<=.f64 z #s(literal 1261007895663739/4503599627370496 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (log.f64 z) y y))) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 x #s(literal -6463189187793589/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464 binary64)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 8951544791827361/26328072917139296674479506920917608079723773850137277813577744384 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))))
(if (or (<=.f64 x #s(literal -6463189187793589/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464 binary64)) (not (<=.f64 x #s(literal 8951544791827361/26328072917139296674479506920917608079723773850137277813577744384 binary64)))) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y)))
(if (<=.f64 x #s(literal -593299522271499/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 3970774558442963/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (- (log z) z) y) y) (fma.f64 (log.f64 z) y y))) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))))
(if (or (<=.f64 x #s(literal -593299522271499/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) (not (<=.f64 x #s(literal 3970774558442963/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)))) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (- (log z) z) y) y) (fma.f64 (log.f64 z) y y))))
(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal -10000000000000000826871628571058023676436276965152235336326534308832671394311356729372731664122173896717192642523265688348930066834399772699475577180106550229078889679814656 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (neg.f64 y) z)) (if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 7737125245533627/19342813113834066795298816 binary64)) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 y) z))))
(if (or (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal -10000000000000000826871628571058023676436276965152235336326534308832671394311356729372731664122173896717192642523265688348930066834399772699475577180106550229078889679814656 binary64)) (not (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 7737125245533627/19342813113834066795298816 binary64)))) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (neg.f64 y) z)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64)) x))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(approx (+ ( (/ y x) (- (+ (log z) 1) z)) 1/2) #s(literal 1/2 binary64)) x))

soundness879.0ms (12.2%)

Memory

-12.8MiB live, 629.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	178	614
1	616	577
2	2137	572
3	7457	572
0	8053	524
0	11	31
0	17	31
1	72	31
2	598	31
0	8142	30
0	82	258
1	279	238
2	1051	237
3	4528	235
0	8324	216
0	247	1013
1	885	956
2	3130	931
0	8261	862

Stop Event

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

Compiler

Compiled 679 to 277 computations (59.2% saved)

preprocess64.0ms (0.9%)

Memory: -3.1MiB live, 84.4MiB allocated
Compiler: Compiled 604 to 186 computations (69.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample1.8s (24.4%)

explain137.0ms (1.9%)

preprocess129.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify54.0ms (0.7%)

localize36.0ms (0.5%)

series118.0ms (1.6%)

simplify118.0ms (1.6%)

rewrite212.0ms (3%)

eval34.0ms (0.5%)

prune11.0ms (0.1%)

simplify54.0ms (0.8%)

localize69.0ms (1%)

series71.0ms (1%)

simplify115.0ms (1.6%)

rewrite264.0ms (3.7%)

eval157.0ms (2.2%)

prune20.0ms (0.3%)

simplify100.0ms (1.4%)

localize113.0ms (1.6%)

series151.0ms (2.1%)

simplify135.0ms (1.9%)

rewrite342.0ms (4.8%)

eval69.0ms (1%)

prune21.0ms (0.3%)

simplify93.0ms (1.3%)

localize169.0ms (2.4%)

series452.0ms (6.3%)

simplify420.0ms (5.8%)

rewrite203.0ms (2.8%)

eval95.0ms (1.3%)

prune58.0ms (0.8%)

regimes75.0ms (1%)

regimes60.0ms (0.8%)

regimes30.0ms (0.4%)

regimes33.0ms (0.5%)

regimes14.0ms (0.2%)

regimes25.0ms (0.4%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch28.0ms (0.4%)

bsearch26.0ms (0.4%)

bsearch53.0ms (0.7%)

bsearch1.0ms (0%)

simplify101.0ms (1.4%)

soundness879.0ms (12.2%)

preprocess64.0ms (0.9%)

end0.0ms (0%)

Profiling