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

analyze1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

sample1.1s (8.4%)

Memory

25.4MiB live, 1 320.4MiB allocated

Samples

765.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 441.0ms

ival-log: 196.0ms (44.4% of total)

ival-mult: 113.0ms (25.6% of total)

ival-add: 71.0ms (16.1% of total)

ival-sub: 43.0ms (9.7% of total)

exact: 9.0ms (2% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess318.0ms (2.5%)

Memory

-14.9MiB live, 119.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 904×	`lower-fma.f64`
1 904×	`lower-fma.f32`
1 336×	`unsub-neg`
1 024×	`sub-neg`
604×	`distribute-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	117
1	131	110
2	378	110
3	1228	110
4	3703	110
5	5471	110
6	6101	110
7	6263	110
8	6355	110
9	6372	110
10	6431	110
11	6508	110
12	6508	110
13	6734	110
14	6750	110
15	6750	110
0	11	12
0	17	12
1	33	12
2	63	12
3	128	12
4	281	12
5	492	12
6	829	12
7	1225	12
8	1542	12
9	1646	12
10	1677	12
11	1679	12
12	1679	12
0	1679	10

Stop Event

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

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

explain376.0ms (3%)

Memory

5.2MiB live, 127.4MiB 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

271.0ms

512×

valid

Compiler

Compiled 112 to 48 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 57.0ms (78.8% of total)

ival-log: 7.0ms (9.7% of total)

ival-add: 4.0ms (5.5% of total)

ival-sub: 3.0ms (4.1% of total)

exact: 1.0ms (1.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 15 to 11 computations (26.7% saved)

simplify263.0ms (2.1%)

Memory

-33.4MiB live, 85.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	128	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
✓	cost-diff	128	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Rules

1 904×	`lower-fma.f64`
1 904×	`lower-fma.f32`
464×	`lower-*.f32`
460×	`lower-*.f64`
424×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	17	39
1	33	39
2	63	39
3	128	39
4	281	39
5	492	39
6	829	39
7	1225	39
8	1542	39
9	1646	39
10	1677	39
11	1679	39
12	1679	39
0	1679	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 x #s(literal 1/2 binary64) (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.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)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
y
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(log.f64 z)

localize57.0ms (0.5%)

Memory

1.8MiB live, 40.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
✓	accuracy	99.8%	(*.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 (28.9% of total)

ival-mult: 3.0ms (28.9% of total)

ival-add: 2.0ms (19.3% of total)

ival-sub: 1.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series1.9s (15.2%)

Memory

33.3MiB live, 148.5MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (+ 1 (log z)))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (+ 1 (log z))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>

Calls

24 calls:

Time	Variable		Point	Expression
1.9s	y	@	0	(* y (+ (- 1 z) (log z)))
11.0ms	z	@	inf	(log z)
10.0ms	z	@	-inf	(log z)
9.0ms	z	@	0	(log z)
5.0ms	x	@	0	(+ (* x 1/2) (* y (+ (- 1 z) (log z))))

simplify259.0ms (2%)

Memory

-13.8MiB live, 500.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 802×	`lower-fma.f64`
9 802×	`lower-fma.f32`
2 660×	`lower-*.f64`
2 660×	`lower-*.f32`
2 142×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	811
1	256	789
2	767	786
3	2727	753
4	6729	750
0	8128	672

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite331.0ms (2.6%)

Memory

-6.4MiB live, 472.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 726×	`lower-fma.f64`
6 726×	`lower-fma.f32`
5 962×	`lower-*.f32`
5 958×	`lower-*.f64`
3 984×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
0	17	31
1	70	31
2	596	31
0	8472	30

Stop Event

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

Counts

5 → 250

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 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(+.f64 y (fma.f64 y (neg.f64 z) (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 y (fma.f64 (neg.f64 z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (fma.f64 y (neg.f64 z) y) (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 y (log.f64 z)) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (.f64 x #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (neg.f64 y)))) (neg.f64 (/.f64 (pow.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (neg.f64 y))))))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 y (neg.f64 z) y)) (*.f64 y (log.f64 z)))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 y (log.f64 z))) (fma.f64 y (neg.f64 z) y))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (neg.f64 y)))) (/.f64 (pow.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (neg.f64 y)))))
(-.f64 (/.f64 (pow.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)) (fma.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (fma.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(fma.f64 y #s(literal 1 binary64) (fma.f64 y (neg.f64 z) (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 y #s(literal 1 binary64) (fma.f64 (neg.f64 z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 y (log.f64 z) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) y (fma.f64 y (neg.f64 z) (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) y (fma.f64 (neg.f64 z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (log.f64 z) y (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z)))) y) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (neg.f64 y)))) (neg.f64 (/.f64 (pow.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (neg.f64 y))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) y) (fma.f64 y (log.f64 z) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) y) (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (.f64 y (.f64 y y)) (pow.f64 (.f64 y (log.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 y (neg.f64 z) y)) (.f64 (.f64 y (log.f64 z)) (-.f64 (.f64 y (log.f64 z)) (fma.f64 y (neg.f64 z) y))))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (.f64 y (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (fma.f64 y (log.f64 z) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z)))) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 y (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (fma.f64 y (log.f64 z) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
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(/.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (pow.f64 (log.f64 z) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z))))) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (pow.f64 (log.f64 z) #s(literal 6 binary64))) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (pow.f64 (log.f64 z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z))))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (pow.f64 (log.f64 z) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (pow.f64 (log.f64 z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))) (+.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (neg.f64 (pow.f64 (log.f64 z) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (pow.f64 (log.f64 z) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
(.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (.f64 (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z)))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z))) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z))))))
(.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))))
(.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (*.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z))))))
(.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z))))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))))
(.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
(log.f64 z)
(+.f64 (log.f64 z) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 z))

eval43.0ms (0.3%)

Memory: 6.0MiB live, 80.4MiB allocated
Compiler: Compiled 9 026 to 908 computations (89.9% saved)

prune53.0ms (0.4%)

Memory

23.9MiB live, 106.8MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	329	17	346
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	330	17	347

Accuracy

100.0%

Counts

347 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.4%	(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (.f64 (log.f64 z) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z)))) y) (.f64 x #s(literal 1/2 binary64)))
	85.5%	(fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) y) (*.f64 x #s(literal 1/2 binary64)))
	99.4%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
▶	99.9%	(fma.f64 (log.f64 z) y (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/2 binary64))))
▶	67.7%	(+.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) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))))
	85.6%	(+.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 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
▶	99.7%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
	70.0%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 z (.f64 z z))) (fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (+.f64 (log.f64 z) #s(literal 1 binary64)) (fma.f64 z z (*.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))))))
	66.2%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (/.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (neg.f64 (pow.f64 (log.f64 z) #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))))))
	70.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
	65.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx ( y (+ (- 1 z) (log z))) (fma.f64 y (log.f64 z) y)))
	48.3%	(.f64 (+.f64 (pow.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (*.f64 x #s(literal -1/2 binary64)))))
	99.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y)))
	63.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (-.f64 (log.f64 z) z) y))
▶	65.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y)))
	35.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 y (neg.f64 z)))
▶	37.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 746 to 416 computations (44.2% saved)

simplify524.0ms (4.1%)

Memory

-5.5MiB live, 395.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))
✓	cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y)
✓	cost-diff	128	(+.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) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	128	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
✓	cost-diff	1216	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x y)
✓	cost-diff	0	(log.f64 z)
✓	cost-diff	0	(fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y))
✓	cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(log.f64 z)
✓	cost-diff	320	(fma.f64 (log.f64 z) y (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/2 binary64))))

Rules

11 540×	`lower-fma.f32`
11 532×	`lower-fma.f64`
3 070×	`lower-*.f32`
3 062×	`lower-*.f64`
2 558×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	265
0	58	263
1	107	261
2	195	261
3	606	257
4	2138	257
5	4811	257
0	8374	245

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (1.2%)

Memory

-8.7MiB live, 149.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)))
✓	accuracy	99.3%	(pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))
✓	accuracy	95.7%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y)
✓	accuracy	72.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) x y)
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	99.8%	(fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y))
✓	accuracy	66.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	37.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	100.0%	(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 (log.f64 z) y (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/2 binary64))))

Samples

59.0ms

256×

valid

Compiler

Compiled 260 to 34 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 12.0ms (32% of total)

ival-add: 10.0ms (26.7% of total)

ival-div: 5.0ms (13.3% of total)

ival-log: 4.0ms (10.7% of total)

ival-sub: 3.0ms (8% of total)

ival-pow: 2.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series52.0ms (0.4%)

Memory

19.3MiB live, 58.9MiB allocated

Counts

20 → 456

Calls

Call 1

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

Outputs
#<alt (+ y (+ (* 1/2 x) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (+ (* y (log z)) (* y (- 1 z)))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- 1 z)))>
#<alt (+ (* 1/2 x) (* y (- 1 z)))>
#<alt (+ (* 1/2 x) (* y (- 1 z)))>
#<alt (* y (- 1 z))>
#<alt (* y (- (+ 1 (* 1/2 (/ x y))) z))>
#<alt (* y (- (+ 1 (* 1/2 (/ x y))) z))>
#<alt (* y (- (+ 1 (* 1/2 (/ x y))) z))>
#<alt (* y (- 1 z))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1/2 (/ x y)))))>
#<alt (+ y (* 1/2 x))>
#<alt (+ y (+ (* -1 (* y z)) (* 1/2 x)))>
#<alt (+ y (+ (* -1 (* y z)) (* 1/2 x)))>
#<alt (+ y (+ (* -1 (* y z)) (* 1/2 x)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ y z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* 1/2 x)) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* 1/2 x)) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* 1/2 x)) z)))))>
#<alt (* y (- 1 z))>
#<alt (+ (* 1/2 x) (* y (- 1 z)))>
#<alt (+ (* 1/2 x) (* y (- 1 z)))>
#<alt (+ (* 1/2 x) (* y (- 1 z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- 1 z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- 1 z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- 1 z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 z)) x)) 1/2)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (+ (log z) (* 1/2 (/ x y)))))>
#<alt (* y (+ 1 (+ (log z) (* 1/2 (/ x y)))))>
#<alt (* y (+ 1 (+ (log z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* y (- (* -1 (log z)) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (log z)) (* -1/2 (/ x y))) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (log z)) (* -1/2 (/ x y))) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (log z)) (* -1/2 (/ x y))) 1)))>
#<alt (+ y (+ (* 1/2 x) (* y (log z))))>
#<alt (+ y (+ (* 1/2 x) (* y (log z))))>
#<alt (+ y (+ (* 1/2 x) (* y (log z))))>
#<alt (+ y (+ (* 1/2 x) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x)))>
#<alt (+ y (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x)))>
#<alt (+ y (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x)))>
#<alt (+ y (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x)))>
#<alt (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z)))))))>
#<alt (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z)))))))>
#<alt (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z)))))))>
#<alt (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z)))))))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (+ (* 1/2 x) (* y (log z))))>
#<alt (+ y (+ (* 1/2 x) (* y (log z))))>
#<alt (+ y (+ (* 1/2 x) (* y (log z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (+ (/ y x) (/ (* y (log z)) x))))>
#<alt (* x (+ 1/2 (+ (/ y x) (/ (* y (log z)) x))))>
#<alt (* x (+ 1/2 (+ (/ y x) (/ (* y (log z)) x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2)))>
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#<alt (+ 1 (+ (* -1 (* (log z) (- 1 (log z)))) (* z (- (+ 1 (* -1 (log z))) (log z)))))>
#<alt (+ 1 (+ (* -1 (* (log z) (- 1 (log z)))) (* z (- (+ 1 (+ z (* -1 (log z)))) (log z)))))>
#<alt (+ 1 (+ (* -1 (* (log z) (- 1 (log z)))) (* z (- (+ 1 (+ z (* -1 (log z)))) (log z)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (- (+ 1 (+ (/ 1 z) (/ (log (/ 1 z)) z))) (* -1 (/ (log (/ 1 z)) z))))>
#<alt (* (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))))>
#<alt (* (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))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (- (+ 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)) (/ 1 z))) (+ (* -1 (/ (log (/ -1 z)) z)) (/ (log -1) z))))>
#<alt (* (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))))>
#<alt (* (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))))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (/ (* y (- 1 (* -1 (pow (log z) 3)))) (+ 1 (* -1 (* (log z) (- 1 (log z))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (* -1 (* y z))>
#<alt (* z (- (+ (* -1 y) (* -1 (/ (* y (+ (log (/ 1 z)) (* 2 (log (/ 1 z))))) z))) (* -1 (/ (* y (- (+ 1 (log (/ 1 z))) (* -1 (log (/ 1 z))))) z))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* y z))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 3))) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 3))) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 3))) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 3))) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 3))) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 3))) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 3))) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 3))) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 3))) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 3))) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 3))) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 3))) (+ 1 (* (- z (log z)) (- (+ 1 z) (log z)))))>
#<alt (* -1 (pow (log z) 3))>
#<alt (+ (* -1 (pow (log z) 3)) (* z (+ (* 2 (pow (log z) 2)) (pow (log z) 2))))>
#<alt (+ (* -1 (pow (log z) 3)) (* z (+ (* 2 (pow (log z) 2)) (+ (* z (+ (* -2 (log z)) (* -1 (log z)))) (pow (log z) 2)))))>
#<alt (+ (* -1 (pow (log z) 3)) (* z (+ (* 2 (pow (log z) 2)) (+ (* z (+ z (+ (* -2 (log z)) (* -1 (log z))))) (pow (log z) 2)))))>
#<alt (pow z 3)>
#<alt (* (pow z 3) (+ 1 (+ (* 2 (/ (log (/ 1 z)) z)) (/ (log (/ 1 z)) z))))>
#<alt (* (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)))))))>
#<alt (* (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))))))))>
#<alt (pow z 3)>
#<alt (* -1 (* (pow z 3) (- (+ (* -2 (/ (log (/ -1 z)) z)) (+ (* -1 (/ (log (/ -1 z)) z)) (+ (* 2 (/ (log -1) z)) (/ (log -1) z)))) 1)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -1 (* (log z) (- 1 (log z))))>
#<alt (+ (* -1 (* (log z) (- 1 (log z)))) (* z (- (+ 1 (* -1 (log z))) (log z))))>
#<alt (+ (* -1 (* (log z) (- 1 (log z)))) (* z (- (+ 1 (+ z (* -1 (log z)))) (log z))))>
#<alt (+ (* -1 (* (log z) (- 1 (log z)))) (* z (- (+ 1 (+ z (* -1 (log z)))) (log z))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (- (+ 1 (+ (/ 1 z) (/ (log (/ 1 z)) z))) (* -1 (/ (log (/ 1 z)) z))))>
#<alt (* (pow z 2) (- (+ 1 (+ (/ 1 z) (+ (/ (log (/ 1 z)) z) (/ (* (log (/ 1 z)) (- 1 (* -1 (log (/ 1 z))))) (pow z 2))))) (* -1 (/ (log (/ 1 z)) z))))>
#<alt (* (pow z 2) (- (+ 1 (+ (/ 1 z) (+ (/ (log (/ 1 z)) z) (/ (* (log (/ 1 z)) (- 1 (* -1 (log (/ 1 z))))) (pow z 2))))) (* -1 (/ (log (/ 1 z)) z))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (- (+ 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)) (/ 1 z))) (+ (* -1 (/ (log (/ -1 z)) z)) (/ (log -1) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (log -1) (* -1 (log (/ -1 z)))))) (/ (* (+ (log -1) (* -1 (log (/ -1 z)))) (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (- (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (log -1) (* -1 (log (/ -1 z)))))) (/ (* (+ (log -1) (* -1 (log (/ -1 z)))) (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)) z))))>

Calls

114 calls:

Time	Variable		Point	Expression
21.0ms	z	@	-inf	(+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1)))))
2.0ms	z	@	0	(+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1)))))
2.0ms	z	@	inf	(+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1)))))
1.0ms	x	@	0	(+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1)))))
1.0ms	y	@	inf	(+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1)))))

simplify427.0ms (3.4%)

Memory

7.2MiB live, 511.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 276×	`lower-fma.f64`
10 276×	`lower-fma.f32`
5 650×	`lower-*.f64`
5 650×	`lower-*.f32`
4 746×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	654	9588
1	2192	8683
0	8285	8212

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 453

Calls

Call 1

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

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

rewrite671.0ms (5.3%)

Memory

-45.1MiB live, 597.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 548×	`lower-*.f32`
5 540×	`lower-*.f64`
3 798×	`lower-fma.f32`
3 790×	`lower-fma.f64`
3 194×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	210
0	58	178
1	284	174
2	2530	174
0	8364	168

Stop Event

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

Counts

20 → 872

Calls

Call 1

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

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

eval294.0ms (2.3%)

Memory: 24.8MiB live, 440.6MiB allocated
Compiler: Compiled 55 726 to 3 896 computations (93% saved)

prune206.0ms (1.6%)

Memory

-11.8MiB live, 366.1MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1 443	15	1 458
Fresh	9	3	12
Picked	3	2	5
Done	0	0	0
Total	1 455	20	1 475

Accuracy

100.0%

Counts

1 475 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.5%	(fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 z (log.f64 z)))) y) (*.f64 x #s(literal 1/2 binary64)))
▶	63.7%	(fma.f64 (log.f64 z) y #s(approx (+ (* y (- 1 z)) (* x 1/2)) (-.f64 y (*.f64 y z))))
	43.3%	(fma.f64 (log.f64 z) y #s(approx (+ (* y (- 1 z)) (* x 1/2)) (*.f64 y (neg.f64 z))))
	45.3%	(fma.f64 (log.f64 z) y #s(approx (+ (* y (- 1 z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
	67.6%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 z (log.f64 z)) (+.f64 (-.f64 z (log.f64 z)) #s(literal 1 binary64))))))
▶	85.6%	(+.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 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
	65.8%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (- 1 z) #s(literal 1 binary64)) (log.f64 z)))))
▶	98.9%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) #s(approx (+ (- 1 z) (log z)) (fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z)) (neg.f64 z))))))
	86.6%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
	70.8%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y #s(approx (/ 1 (+ (- 1 z) (log z))) (/.f64 #s(literal -1 binary64) z))))
	70.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
▶	63.7%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y (-.f64 (log.f64 z) z) y))
	78.9%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (*.f64 z (fma.f64 y (/.f64 (log.f64 z) z) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (/.f64 y z)) y))))
▶	35.5%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (*.f64 y (neg.f64 z)))
	65.8%	#s(approx (+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1))))) (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) (log.f64 z))))) (.f64 #s(literal 1/2 binary64) x)))
	81.3%	#s(approx (+ (* x 1/2) (/ y (/ 1 (+ (- 1 z) (log z))))) (*.f64 x (fma.f64 y (/.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) x) #s(literal 1/2 binary64))))
✓	65.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y)))
	65.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 (log.f64 z) y))))
✓	37.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))
	30.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* y (log z)) (+ (* 1/2 x) y)) (fma.f64 y (log.f64 z) y)))

Compiler

Compiled 665 to 400 computations (39.8% saved)

simplify394.0ms (3.1%)

Memory

-17.8MiB live, 546.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	128	(+.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 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
✓	cost-diff	14080	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
✓	cost-diff	0	(-.f64 y (*.f64 y z))
✓	cost-diff	0	#s(approx (+ (* y (- 1 z)) (* x 1/2)) (-.f64 y (*.f64 y z)))
✓	cost-diff	0	(log.f64 z)
✓	cost-diff	0	(fma.f64 (log.f64 z) y #s(approx (+ (* y (- 1 z)) (* x 1/2)) (-.f64 y (*.f64 y z))))
✓	cost-diff	0	(log.f64 z)
✓	cost-diff	0	(-.f64 (log.f64 z) z)
✓	cost-diff	0	(fma.f64 y (-.f64 (log.f64 z) z) y)
✓	cost-diff	0	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y (-.f64 (log.f64 z) z) y))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 y (neg.f64 z))
✓	cost-diff	0	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (*.f64 y (neg.f64 z)))
✓	cost-diff	128	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) #s(approx (+ (- 1 z) (log z)) (fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z)) (neg.f64 z))))))
✓	cost-diff	384	(+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z))
✓	cost-diff	1088	(/.f64 y (/.f64 #s(literal 1 binary64) #s(approx (+ (- 1 z) (log z)) (fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z)) (neg.f64 z)))))
✓	cost-diff	1344	(fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z)) (neg.f64 z))

Rules

14 018×	`lower-fma.f32`
14 012×	`lower-fma.f64`
3 918×	`lower-*.f32`
3 910×	`lower-*.f64`
1 950×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	322
0	68	299
1	120	281
2	223	270
3	498	262
4	1330	262
5	4242	262
0	8291	256

Stop Event

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

Calls

Call 1

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

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

localize159.0ms (1.3%)

Memory

29.8MiB live, 184.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.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 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
✓	accuracy	99.5%	(pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))
✓	accuracy	94.9%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y)
✓	accuracy	90.4%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z))))
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	100.0%	(-.f64 y (*.f64 y z))
✓	accuracy	99.9%	(fma.f64 (log.f64 z) y #s(approx (+ (* y (- 1 z)) (* x 1/2)) (-.f64 y (*.f64 y z))))
✓	accuracy	63.6%	#s(approx (+ (* y (- 1 z)) (* x 1/2)) (-.f64 y (*.f64 y z)))
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	100.0%	(-.f64 (log.f64 z) z)
✓	accuracy	99.8%	(fma.f64 y (-.f64 (log.f64 z) z) y)
✓	accuracy	63.8%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y (-.f64 (log.f64 z) z) y))
✓	accuracy	100.0%	(*.f64 y (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	35.5%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (*.f64 y (neg.f64 z)))
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1 binary64) #s(approx (+ (- 1 z) (log z)) (fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z)) (neg.f64 z)))))
✓	accuracy	99.5%	(/.f64 (log.f64 z) z)
✓	accuracy	99.2%	(+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z))
✓	accuracy	99.0%	(fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (log.f64 z) z)) (neg.f64 z))

Samples

66.0ms

256×

valid

Compiler

Compiled 250 to 38 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 12.0ms (26% of total)

ival-div: 10.0ms (21.6% of total)

ival-add: 10.0ms (21.6% of total)

ival-sub: 6.0ms (13% of total)

ival-log: 4.0ms (8.7% of total)

ival-pow2: 2.0ms (4.3% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory

-22.7MiB live, 56.4MiB allocated

Counts

20 → 456

Calls

Call 1

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

Outputs
#<alt (+ 1 (log z))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z))) (/ 1 z))))>
#<alt (* -1 (* z (- (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z))) (/ 1 z))))>
#<alt (* -1 (* z (- (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z))) (/ 1 z))))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (+ 1 (log z)))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (/ (+ 1 (log z)) z)>
#<alt (/ (+ 1 (log z)) z)>
#<alt (/ (+ 1 (log z)) z)>
#<alt (/ (+ 1 (log z)) z)>
#<alt (/ (+ 1 (* -1 (log (/ 1 z)))) z)>
#<alt (/ (+ 1 (* -1 (log (/ 1 z)))) z)>
#<alt (/ (+ 1 (* -1 (log (/ 1 z)))) z)>
#<alt (/ (+ 1 (* -1 (log (/ 1 z)))) z)>
#<alt (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1) z))>
#<alt (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1) z))>
#<alt (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1) z))>
#<alt (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* -1 (* y z))>
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#<alt (+ (* 1/2 x) (+ (* z (- (+ (* 2 (/ (* y (log z)) (- 1 (log z)))) (* z (- (+ (* -1 (/ y (- 1 (log z)))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 3))) (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 2)))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))))>
#<alt (+ (* 1/2 x) (+ (* z (- (+ (* 2 (/ (* y (log z)) (- 1 (log z)))) (* z (- (+ (* -1 (/ y (- 1 (log z)))) (+ (* z (- (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 3))) (+ (* -1 (/ y (pow (- 1 (log z)) 2))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 4))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 3)))) (* 2 (/ (* y (log z)) (pow (- 1 (log z)) 2)))))) (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (* 1/2 (/ x z)))) (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2))))) (+ (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z)) (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))) (pow z 2)))))>
#<alt (* z (- (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (+ (* -1 (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* y (- 1 (pow (log (/ 1 z)) 2))) (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))))) (pow z 3))) (+ (* 1/2 (/ x z)) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2)))))) (+ (* -1 (/ (* y (- 1 (* -1 (log (/ 1 z))))) z)) (/ (* (- 1 (* -1 (log (/ 1 z)))) (- (* -2 (* y (log (/ 1 z)))) (* -1 (* y (- 1 (* -1 (log (/ 1 z)))))))) (pow z 2)))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* 1/2 x) (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)))) (* -1 (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))))) z)) (+ (* 1/2 x) (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)))) (* -1 (/ (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* -1 (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)))) (* -1 (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))))))) z))) (* -1 (* (- 1 (+ (log -1) (* -1 (log (/ -1 z))))) (- (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z))))))))))) z)) (+ (* 1/2 x) (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))))) (* -1 (* y (- 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z))))))>
#<alt (+ (* 1/2 x) (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z))))))>
#<alt (+ (* 1/2 x) (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z))))))>
#<alt (* y (- (/ 1 (- (+ 1 z) (log z))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ 1 (- (+ 1 z) (log z)))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ 1 (- (+ 1 z) (log z)))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ 1 (- (+ 1 z) (log z)))) (/ (pow (- z (log z)) 2) (- (+ 1 z) (log z)))))>
#<alt (/ (* y (- 1 (pow (- z (log z)) 2))) (- (+ 1 z) (log z)))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 2)) (- (+ 1 z) (log z)))) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 2)) (- (+ 1 z) (log z)))) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (pow (- z (log z)) 2)) (- (+ 1 z) (log z)))) (* -1/2 (/ x y)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* y (- 1 (pow (log z) 2)))>
#<alt (+ (* 2 (* y (* z (log z)))) (* y (- 1 (pow (log z) 2))))>
#<alt (+ (* y (- 1 (pow (log z) 2))) (* z (+ (* -1 (* y z)) (* 2 (* y (log z))))))>
#<alt (+ (* y (- 1 (pow (log z) 2))) (* z (+ (* -1 (* y z)) (* 2 (* y (log z))))))>
#<alt (* -1 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -2 (/ (* y (log (/ 1 z))) z)) (* -1 y)))>
#<alt (* (pow z 2) (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -2 (/ (* y (log (/ 1 z))) z)) (+ (* -1 y) (/ (* y (- 1 (pow (log (/ 1 z)) 2))) (pow z 2)))))>
#<alt (* -1 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -1 y) (/ (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))) z)))>
#<alt (* (pow z 2) (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (* -1 (/ (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2))) z))) z))))>
#<alt (* (pow z 2) (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (* -1 (/ (* y (- 1 (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2))) z))) z))))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (* y (- 1 (pow (- z (log z)) 2)))>
#<alt (/ (log z) z)>
#<alt (/ (log z) z)>
#<alt (/ (log z) z)>
#<alt (/ (log z) z)>
#<alt (* -1 (/ (log (/ 1 z)) z))>
#<alt (* -1 (/ (log (/ 1 z)) z))>
#<alt (* -1 (/ (log (/ 1 z)) z))>
#<alt (* -1 (/ (log (/ 1 z)) z))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)>
#<alt (pow (log z) 2)>
#<alt (+ (* -2 (* z (log z))) (pow (log z) 2))>
#<alt (+ (* z (+ z (* -2 (log z)))) (pow (log z) 2))>
#<alt (+ (* z (+ z (* -2 (log z)))) (pow (log z) 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 2 (/ (log (/ 1 z)) z))))>
#<alt (* (pow z 2) (+ 1 (+ (* 2 (/ (log (/ 1 z)) z)) (/ (pow (log (/ 1 z)) 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (* 2 (/ (log (/ 1 z)) z)) (/ (pow (log (/ 1 z)) 2) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -2 (log (/ -1 z))) (* 2 (log -1))) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -2 (log (/ -1 z))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) z)) (* 2 (log -1)))) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -2 (log (/ -1 z))) (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) z)) (* 2 (log -1)))) z))))>

Calls

114 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	(+ (/ 1 z) (/ (log z) z))
4.0ms	y	@	0	(/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z))))
4.0ms	z	@	-inf	(+ (/ 1 z) (/ (log z) z))
1.0ms	z	@	-inf	(/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z))))
1.0ms	z	@	0	(/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z))))

simplify411.0ms (3.2%)

Memory

23.1MiB live, 566.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 024×	`lower-fma.f64`
10 024×	`lower-fma.f32`
5 624×	`lower-*.f64`
5 624×	`lower-*.f32`
2 770×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	424	6318
1	1392	5993
2	4605	5944
0	8171	5563

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 455

Calls

Call 1

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

rewrite560.0ms (4.4%)

Memory

7.7MiB live, 570.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 792×	`lower-*.f32`
5 784×	`lower-*.f64`
4 680×	`lower-fma.f32`
4 674×	`lower-fma.f64`
3 598×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	230
0	68	223
1	315	192
2	2865	192
0	8984	183

Stop Event

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

Counts

20 → 492

Calls

Call 1

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

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

eval549.0ms (4.3%)

Memory: 18.0MiB live, 242.5MiB allocated
Compiler: Compiled 24 560 to 2 583 computations (89.5% saved)

prune204.0ms (1.6%)

Memory

-19.4MiB live, 322.9MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	1 044	12	1 056
Fresh	8	5	13
Picked	2	3	5
Done	0	2	2
Total	1 054	22	1 076

Accuracy

100.0%

Counts

1 076 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.4%	(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
✓	63.7%	(fma.f64 (log.f64 z) y #s(approx (+ (* y (- 1 z)) (* x 1/2)) (-.f64 y (*.f64 y z))))
	43.3%	(fma.f64 (log.f64 z) y #s(approx (+ (* y (- 1 z)) (* x 1/2)) (*.f64 z (neg.f64 y))))
	45.3%	(fma.f64 (log.f64 z) y #s(approx (+ (* y (- 1 z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
	65.8%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (- 1 z) #s(literal 1 binary64)) (log.f64 z)))))
▶	98.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) #s(approx (+ (- 1 z) (log z)) (.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal -1 binary64)))))))
	70.8%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y #s(approx (/ 1 (+ (- 1 z) (log z))) (/.f64 #s(literal -1 binary64) z))))
	70.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
▶	65.9%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (/ y (/ 1 (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y y)))
✓	63.7%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y (-.f64 (log.f64 z) z) y))
	63.3%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y #s(approx (- (log z) z) (-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z)) y))
▶	34.5%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y #s(approx (- (log z) z) (neg.f64 z)) y))
▶	30.4%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y #s(approx (- (log z) z) (log.f64 z)) y))
	63.7%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y))
	11.5%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))))))
✓	35.5%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (*.f64 y (neg.f64 z)))
	84.7%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (*.f64 x (fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (/.f64 y x) #s(literal 1/2 binary64))))
▶	51.2%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) #s(approx (+ (* y (- (log z) z)) y) (*.f64 z (fma.f64 (/.f64 (log.f64 z) z) y (-.f64 (/.f64 y z) y)))))
	65.8%	#s(approx (+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 3)) y) (+ 1 (* (- z (log z)) (+ (- z (log z)) 1))))) (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) (log.f64 z))))) (.f64 #s(literal 1/2 binary64) x)))
	53.5%	#s(approx (+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z))))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
✓	65.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y)))
✓	37.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 599 to 356 computations (40.6% saved)

simplify320.0ms (2.5%)

Memory

-11.5MiB live, 555.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (+ (* y (- (log z) z)) y) (*.f64 z (fma.f64 (/.f64 (log.f64 z) z) y (-.f64 (/.f64 y z) y))))
✓	cost-diff	0	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) #s(approx (+ (* y (- (log z) z)) y) (*.f64 z (fma.f64 (/.f64 (log.f64 z) z) y (-.f64 (/.f64 y z) y)))))
✓	cost-diff	704	(fma.f64 (/.f64 (log.f64 z) z) y (-.f64 (/.f64 y z) y))
✓	cost-diff	1024	(*.f64 z (fma.f64 (/.f64 (log.f64 z) z) y (-.f64 (/.f64 y z) y)))
✓	cost-diff	0	(fma.f64 (log.f64 z) y y)
✓	cost-diff	0	#s(approx (/ y (/ 1 (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y y))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	128	(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (/ y (/ 1 (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y y)))
✓	cost-diff	0	(log.f64 z)
✓	cost-diff	0	#s(approx (- (log z) z) (log.f64 z))
✓	cost-diff	0	(fma.f64 y #s(approx (- (log z) z) (log.f64 z)) y)
✓	cost-diff	0	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y #s(approx (- (log z) z) (log.f64 z)) y))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	#s(approx (- (log z) z) (neg.f64 z))
✓	cost-diff	0	(fma.f64 y #s(approx (- (log z) z) (neg.f64 z)) y)
✓	cost-diff	0	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y #s(approx (- (log z) z) (neg.f64 z)) y))
✓	cost-diff	128	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) #s(approx (+ (- 1 z) (log z)) (.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal -1 binary64)))))))
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal -1 binary64))
✓	cost-diff	1024	(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal -1 binary64)))
✓	cost-diff	1088	(/.f64 y (/.f64 #s(literal 1 binary64) #s(approx (+ (- 1 z) (log z)) (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal -1 binary64))))))

Rules

9 858×	`lower-fma.f32`
9 848×	`lower-fma.f64`
3 472×	`lower-*.f32`
3 466×	`lower-*.f64`
1 960×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	365
0	72	357
1	133	336
2	259	317
3	521	308
4	1151	308
5	3225	308
6	5463	308
0	8115	293

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (1.1%)

Memory

-6.2MiB live, 187.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 (log.f64 z) z)
✓	accuracy	85.5%	(*.f64 z (fma.f64 (/.f64 (log.f64 z) z) y (-.f64 (/.f64 y z) y)))
✓	accuracy	84.7%	(fma.f64 (/.f64 (log.f64 z) z) y (-.f64 (/.f64 y z) y))
✓	accuracy	63.8%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) #s(approx (+ (* y (- (log z) z)) y) (*.f64 z (fma.f64 (/.f64 (log.f64 z) z) y (-.f64 (/.f64 y z) y)))))
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (/ y (/ 1 (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y y)))
✓	accuracy	99.6%	(fma.f64 (log.f64 z) y y)
✓	accuracy	50.2%	#s(approx (/ y (/ 1 (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y y))
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	99.8%	(fma.f64 y #s(approx (- (log z) z) (log.f64 z)) y)
✓	accuracy	63.8%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y #s(approx (- (log z) z) (log.f64 z)) y))
✓	accuracy	50.1%	#s(approx (- (log z) z) (log.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	99.8%	(fma.f64 y #s(approx (- (log z) z) (neg.f64 z)) y)
✓	accuracy	63.8%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y #s(approx (- (log z) z) (neg.f64 z)) y))
✓	accuracy	51.2%	#s(approx (- (log z) z) (neg.f64 z))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) #s(approx (+ (- 1 z) (log z)) (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal -1 binary64)))))
✓	accuracy	99.7%	(fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal -1 binary64))
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1 binary64) #s(approx (+ (- 1 z) (log z)) (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal -1 binary64))))))
✓	accuracy	99.0%	(*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal -1 binary64)))

Samples

63.0ms

256×

valid

Compiler

Compiled 243 to 35 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 12.0ms (31.3% of total)

ival-add: 10.0ms (26.1% of total)

ival-div: 8.0ms (20.9% of total)

ival-sub: 3.0ms (7.8% of total)

ival-log: 3.0ms (7.8% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

-10.4MiB live, 26.1MiB allocated

Counts

22 → 480

Calls

Call 1

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

Outputs
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (+ 1 (log z)))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (+ 1 (log z))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (+ 1 (+ (log z) (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* z (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (/ (+ 1 (log z)) z)>
#<alt (/ (+ 1 (+ (log z) (* -1 z))) z)>
#<alt (/ (+ 1 (+ (log z) (* -1 z))) z)>
#<alt (/ (+ 1 (+ (log z) (* -1 z))) z)>
#<alt -1>
#<alt (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1)>
#<alt (- (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)) 1)>
#<alt -1>
#<alt (- (+ (* -1 (/ (log (/ -1 z)) z)) (+ (/ 1 z) (/ (log -1) z))) 1)>
#<alt (- (+ (* -1 (/ (log (/ -1 z)) z)) (+ (/ 1 z) (/ (log -1) z))) 1)>
#<alt (- (+ (* -1 (/ (log (/ -1 z)) z)) (+ (/ 1 z) (/ (log -1) z))) 1)>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (+ y (+ (* 1/2 x) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (+ (* y (log z)) (* y (- 1 z)))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (log z)>
#<alt (+ (log z) (* -1 z))>
#<alt (+ (log z) (* -1 z))>
#<alt (+ (log z) (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (+ y (+ (* 1/2 x) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (+ (* y (log z)) (* y (- 1 z)))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (log z)>
#<alt (+ (log z) (* -1 z))>
#<alt (+ (log z) (* -1 z))>
#<alt (+ (log z) (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* z (- (* -1 (/ (log (/ 1 z)) z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (log z)>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (* -1 (log (/ 1 z)))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (+ (log -1) (* -1 (log (/ -1 z))))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))>
#<alt (+ (* 1/2 x) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (+ (* -1 y) (+ (* 1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (+ 1 (log z)))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (+ (* -1 (* y z)) (* y (+ 1 (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* z (+ (* -1 y) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (* -1 (* y (log (/ 1 z)))))>
#<alt (+ y (* -1 (* y (log (/ 1 z)))))>
#<alt (+ y (* -1 (* y (log (/ 1 z)))))>
#<alt (+ y (* -1 (* y (log (/ 1 z)))))>
#<alt (+ y (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ y (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ y (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ y (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* y (+ 1 (log z)))>
#<alt (* -1 (* y (- (* -1 (log z)) 1)))>
#<alt (* -1 (* y (- (* -1 (log z)) 1)))>
#<alt (* -1 (* y (- (* -1 (log z)) 1)))>
#<alt (* -1 (* y (- (* -1 (log z)) 1)))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (+ (* -1 (/ y z)) (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 z))))) z))))))>
#<alt (* -1 (* z (+ y (+ (* -1 (/ y z)) (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 z))))) z))))))>
#<alt (* -1 (* z (+ y (+ (* -1 (/ y z)) (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 z))))) z))))))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* y (* z (- (+ (/ 1 z) (/ (log z) z)) 1)))>
#<alt (* -1 (* y (* z (- (+ 1 (* -1 (/ (log z) z))) (/ 1 z)))))>
#<alt (* -1 (* y (* z (- (+ 1 (* -1 (/ (log z) z))) (/ 1 z)))))>
#<alt (* -1 (* y (* z (- (+ 1 (* -1 (/ (log z) z))) (/ 1 z)))))>
#<alt (* -1 (* y (* z (- (+ 1 (* -1 (/ (log z) z))) (/ 1 z)))))>
#<alt (/ (+ y (* y (log z))) z)>
#<alt (/ (+ y (+ (* -1 (* y z)) (* y (log z)))) z)>
#<alt (/ (+ y (+ (* -1 (* y z)) (* y (log z)))) z)>
#<alt (/ (+ y (+ (* -1 (* y z)) (* y (log z)))) z)>
#<alt (* -1 y)>
#<alt (- (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z)) y)>
#<alt (- (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z)) y)>
#<alt (- (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z)) y)>
#<alt (* -1 y)>
#<alt (- (* -1 (/ (+ (* -1 y) (* -1 (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)) y)>
#<alt (- (* -1 (/ (+ (* -1 y) (* -1 (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)) y)>
#<alt (- (* -1 (/ (+ (* -1 y) (* -1 (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)) y)>
#<alt (* y (- (+ (/ 1 z) (/ (log z) z)) 1))>
#<alt (* y (- (+ (/ 1 z) (/ (log z) z)) 1))>
#<alt (* y (- (+ (/ 1 z) (/ (log z) z)) 1))>
#<alt (* y (- (+ (/ 1 z) (/ (log z) z)) 1))>
#<alt (* y (- (+ (/ 1 z) (/ (log z) z)) 1))>
#<alt (* y (- (+ (/ 1 z) (/ (log z) z)) 1))>
#<alt (* y (- (+ (/ 1 z) (/ (log z) z)) 1))>
#<alt (* y (- (+ (/ 1 z) (/ (log z) z)) 1))>
#<alt (* -1 (* y (- (+ 1 (* -1 (/ (log z) z))) (/ 1 z))))>
#<alt (* -1 (* y (- (+ 1 (* -1 (/ (log z) z))) (/ 1 z))))>
#<alt (* -1 (* y (- (+ 1 (* -1 (/ (log z) z))) (/ 1 z))))>
#<alt (* -1 (* y (- (+ 1 (* -1 (/ (log z) z))) (/ 1 z))))>
#<alt (+ y (+ (* 1/2 x) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y z)))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* y (- (+ 1 (+ (log z) (* 1/2 (/ x y)))) z))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))>
#<alt (+ (* y (log z)) (* y (- 1 z)))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* x (+ 1/2 (+ (/ (* y (log z)) x) (/ (* y (- 1 z)) x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* y (log z)) (* y (- 1 z))) x)) 1/2)))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* y (- (+ 1 (log z)) z))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (+ y (* y (log z)))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (+ y (+ (* -1 (* y z)) (* y (log z))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (/ y z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ y (* y (+ (log -1) (* -1 (log (/ -1 z)))))) z)))))>
#<alt (/ 1 (+ 1 (log z)))>
#<alt (+ (/ 1 (+ 1 (log z))) (/ z (pow (+ 1 (log z)) 2)))>
#<alt (+ (* z (+ (/ 1 (pow (+ 1 (log z)) 2)) (/ z (pow (+ 1 (log z)) 3)))) (/ 1 (+ 1 (log z))))>
#<alt (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 (log z)) 3)) (/ z (pow (+ 1 (log z)) 4)))) (/ 1 (pow (+ 1 (log z)) 2)))) (/ 1 (+ 1 (log z))))>
#<alt (/ -1 z)>
#<alt (/ (- (* -1 (/ (+ 1 (* -1 (log (/ 1 z)))) z)) 1) z)>
#<alt (/ (- (* -1 (/ (pow (+ 1 (* -1 (log (/ 1 z)))) 2) (pow z 2))) (+ 1 (+ (* -1 (/ (log (/ 1 z)) z)) (/ 1 z)))) z)>
#<alt (/ (- (* -1 (/ (pow (+ 1 (* -1 (log (/ 1 z)))) 3) (pow z 3))) (+ 1 (+ (* -1 (/ (log (/ 1 z)) z)) (+ (/ 1 z) (/ (pow (+ 1 (* -1 (log (/ 1 z)))) 2) (pow z 2)))))) z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ -1 z)) z)) (+ (/ 1 z) (/ (log -1) z)))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2) z)) (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z))) z))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 3) z) (* -1 (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2))) z)) (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))) z))) z))>
#<alt (/ (log z) z)>
#<alt (/ (log z) z)>
#<alt (/ (log z) z)>
#<alt (/ (log z) z)>
#<alt (* -1 (/ (log (/ 1 z)) z))>
#<alt (* -1 (/ (log (/ 1 z)) z))>
#<alt (* -1 (/ (log (/ 1 z)) z))>
#<alt (* -1 (/ (log (/ 1 z)) z))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)>

Calls

120 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* z (+ (* (/ (log z) z) y) (- (/ y z) y)))
1.0ms	z	@	-inf	(* z (+ (* (/ (log z) z) y) (- (/ y z) y)))
1.0ms	y	@	inf	(* z (+ (* (/ (log z) z) y) (- (/ y z) y)))
1.0ms	z	@	-inf	(* z (+ (* (/ 1 z) (+ 1 (log z))) -1))
1.0ms	y	@	-inf	(* z (+ (* (/ (log z) z) y) (- (/ y z) y)))

simplify443.0ms (3.5%)

Memory

25.8MiB live, 618.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 920×	`lower-fma.f64`
16 920×	`lower-fma.f32`
4 962×	`lower-*.f64`
4 962×	`lower-*.f32`
3 888×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	5003
1	805	4724
2	2535	4595
0	8309	4164

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

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

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

rewrite389.0ms (3.1%)

Memory

-8.3MiB live, 619.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 692×	`lower-*.f32`
5 686×	`lower-*.f64`
4 408×	`lower-/.f32`
4 398×	`lower-/.f64`
4 214×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	307
0	72	302
1	329	280
2	2812	268
0	9490	261

Stop Event

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

Counts

22 → 536

Calls

Call 1

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

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

eval156.0ms (1.2%)

Memory: 37.8MiB live, 319.5MiB allocated
Compiler: Compiled 25 945 to 2 439 computations (90.6% saved)

prune123.0ms (1%)

Memory

-15.7MiB live, 302.0MiB allocated

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	1 095	4	1 099
Fresh	2	10	12
Picked	1	4	5
Done	0	5	5
Total	1 098	23	1 121

Accuracy

100.0%

Counts

1 121 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.4%	(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
✓	63.7%	(fma.f64 (log.f64 z) y #s(approx (+ (* y (- 1 z)) (* x 1/2)) (-.f64 y (*.f64 y z))))
	43.3%	(fma.f64 (log.f64 z) y #s(approx (+ (* y (- 1 z)) (* x 1/2)) (*.f64 z (neg.f64 y))))
	45.3%	(fma.f64 (log.f64 z) y #s(approx (+ (* y (- 1 z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
	65.9%	(fma.f64 x #s(literal 1/2 binary64) #s(approx (/ y (/ 1 (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) y)))
	65.8%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (- 1 z) #s(literal 1 binary64)) (log.f64 z)))))
✓	98.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) #s(approx (+ (- 1 z) (log z)) (.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal -1 binary64)))))))
	70.8%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y #s(approx (/ 1 (+ (- 1 z) (log z))) (/.f64 #s(literal -1 binary64) z))))
	70.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
	65.1%	(+.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (/ y (/ 1 (+ (- 1 z) (log z)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) y) (fma.f64 (log.f64 z) (-.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)))))
✓	63.7%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y (-.f64 (log.f64 z) z) y))
	63.3%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y #s(approx (- (log z) z) (-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z)) y))
✓	34.5%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y #s(approx (- (log z) z) (neg.f64 z)) y))
✓	30.4%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (fma.f64 y #s(approx (- (log z) z) (log.f64 z)) y))
	63.7%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y))
	30.4%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (+.f64 (*.f64 y #s(approx (- (log z) z) (log.f64 z))) y))
	11.5%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z))))))
✓	35.5%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (*.f64 y (neg.f64 z)))
	84.7%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) (*.f64 x (fma.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) #s(literal 1/2 binary64))))
✓	51.2%	#s(approx (+ (* (log z) y) (+ (* y (- 1 z)) (* x 1/2))) #s(approx (+ (* y (- (log z) z)) y) (*.f64 z (fma.f64 (/.f64 (log.f64 z) z) y (-.f64 (/.f64 y z) y)))))
	53.5%	#s(approx (+ (* x 1/2) (/ (* (- 1 (pow (- z (log z)) 2)) y) (+ 1 (- z (log z))))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
✓	65.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y)))
✓	37.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 1 099 to 387 computations (64.8% saved)

regimes133.0ms (1.1%)

Memory

1.9MiB live, 232.5MiB allocated

Counts

49 → 1

Calls

Call 1

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

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

Calls

7 calls:

41.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
17.0ms	z
16.0ms	(*.f64 x #s(literal 1/2 binary64))
15.0ms	x
14.0ms	y

Results

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

Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes94.0ms (0.7%)

Memory

4.0MiB live, 101.6MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

7 calls:

45.0ms	z
12.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
7.0ms	(*.f64 x #s(literal 1/2 binary64))
7.0ms	y
7.0ms	(+.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	`x`
99.9%	1	`y`
99.9%	1	`z`
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	`(*.f64 x #s(literal 1/2 binary64))`
99.9%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`

Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes78.0ms (0.6%)

Memory

0.7MiB live, 115.9MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

7 calls:

35.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
8.0ms	(*.f64 x #s(literal 1/2 binary64))
8.0ms	y
7.0ms	x
7.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Results

Accuracy	Segments	Branch
88.2%	3	`x`
87.4%	3	`y`
99.2%	2	`z`
79.4%	3	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
88.2%	3	`(*.f64 x #s(literal 1/2 binary64))`
86.0%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
99.1%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`

Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes8.0ms (0.1%)

Memory

-29.7MiB live, 15.0MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Memory

15.2MiB live, 51.2MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

8.0ms	(*.f64 x #s(literal 1/2 binary64))
5.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
5.0ms	x
5.0ms	z

Results

Accuracy	Segments	Branch
88.2%	3	`x`
88.2%	3	`(*.f64 x #s(literal 1/2 binary64))`
81.6%	3	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
81.5%	3	`z`

Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes25.0ms (0.2%)

Memory

-7.0MiB live, 70.5MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

5.0ms	z
5.0ms	y
4.0ms	(*.f64 x #s(literal 1/2 binary64))
4.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
4.0ms	x

Results

Accuracy	Segments	Branch
79.8%	2	`z`
79.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
74.2%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
70.9%	1	`y`
70.9%	1	`x`
70.9%	1	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes22.0ms (0.2%)

Memory

8.0MiB live, 50.4MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
3.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
3.0ms	(*.f64 x #s(literal 1/2 binary64))
3.0ms	z
3.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Results

Accuracy	Segments	Branch
70.9%	1	`x`
70.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
70.9%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
70.9%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
70.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
70.9%	1	`z`

Compiler

Compiled 49 to 37 computations (24.5% saved)

regimes36.0ms (0.3%)

Memory

0.7MiB live, 39.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

7 calls:

23.0ms	x
2.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
2.0ms	(*.f64 x #s(literal 1/2 binary64))
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
2.0ms	z

Results

Accuracy	Segments	Branch
56.2%	2	`z`
56.2%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
53.3%	3	`y`
55.6%	3	`x`
50.1%	3	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
55.6%	3	`(*.f64 x #s(literal 1/2 binary64))`
57.5%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`

Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes44.0ms (0.3%)

Memory

-13.0MiB live, 25.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

36.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
1.0ms	(*.f64 x #s(literal 1/2 binary64))
1.0ms	y
1.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Results

Accuracy	Segments	Branch
37.5%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
37.5%	1	`y`
37.5%	1	`x`
37.5%	1	`(*.f64 x #s(literal 1/2 binary64))`
37.5%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
37.5%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
37.5%	1	`z`

Compiler

Compiled 53 to 40 computations (24.5% saved)

bsearch18.0ms (0.1%)

Memory

-1.3MiB live, 37.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.850732911041597e-13	0.00013803287295939318

Samples

10.0ms

144×

valid

Compiler

Compiled 252 to 170 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-log: 2.0ms (33.8% of total)

ival-mult: 2.0ms (33.8% of total)

ival-sub: 1.0ms (16.9% of total)

ival-add: 1.0ms (16.9% 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

3.0MiB live, 3.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.850732911041597e-13	0.00013803287295939318

Compiler

Compiled 252 to 170 computations (32.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.686008774516778e-53	1.5003653775874244e-50
0.0ms	-1.1771937515507726e-134	-3.6829314429259816e-137

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch15.0ms (0.1%)

Memory

34.8MiB live, 34.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.850732911041597e-13	0.00013803287295939318

Samples

8.0ms

128×

valid

Compiler

Compiled 234 to 152 computations (35% saved)

Precisions

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

ival-log: 2.0ms (38.9% of total)

ival-mult: 2.0ms (38.9% of total)

ival-sub: 1.0ms (19.4% of total)

ival-add: 1.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Memory

-15.9MiB live, 23.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.767058453138317e+86	5.357069289967625e+87

Samples

6.0ms

96×

valid

Compiler

Compiled 120 to 89 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 1.0ms (25.1% of total)

ival-log: 1.0ms (25.1% of total)

ival-add: 1.0ms (25.1% of total)

ival-mult: 1.0ms (25.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

-17.9MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	291
1	73	291
2	83	291
3	89	291
4	92	291
5	93	291

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (log.f64 z) y (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y)))
(if (<=.f64 z #s(literal 4980620899901579/36893488147419103232 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(approx (/ y (/ 1 (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z)))))
(if (<=.f64 z #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z)))))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -8183476519740355/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z)))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (-.f64 (log.f64 z) z) y)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))))
(if (<=.f64 z #s(literal 3590026113927603/618970019642690137449562112 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* y (log z)) (+ (* 1/2 x) y)) (fma.f64 y (log.f64 z) y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z)))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
(if (<=.f64 z #s(literal 379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 y (neg.f64 z))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))

Outputs
(fma.f64 (log.f64 z) y (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/2 binary64))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y)))
(if (<=.f64 z #s(literal 4980620899901579/36893488147419103232 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(approx (/ y (/ 1 (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z)))))
(if (<=.f64 z #s(literal 4980620899901579/36893488147419103232 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) (fma.f64 #s(literal 1/2 binary64) x y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z)))))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -8183476519740355/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z)))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 336999333339383/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (-.f64 (log.f64 z) z) y)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))))
(if (<=.f64 z #s(literal 3590026113927603/618970019642690137449562112 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* y (log z)) (+ (* 1/2 x) y)) (fma.f64 y (log.f64 z) y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z)))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
(if (<=.f64 z #s(literal 379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 y (neg.f64 z))))
(if (<=.f64 z #s(literal 379999999999999977952678800494196602029592886280467112721436210442976397765339426848768 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 x #s(literal 1/2 binary64))) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (neg.f64 (*.f64 z y))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))

soundness1.1s (8.9%)

Memory

7.8MiB live, 809.0MiB allocated

Rules

10 276×	`lower-fma.f64`
10 276×	`lower-fma.f32`
10 024×	`lower-fma.f64`
10 024×	`lower-fma.f32`
9 802×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
0	17	31
1	70	31
2	596	31
0	8472	30
0	424	6318
1	1392	5993
2	4605	5944
0	8171	5563
0	82	811
1	256	789
2	767	786
3	2727	753
4	6729	750
0	8128	672
0	46	307
0	72	302
1	329	280
2	2812	268
0	9490	261
0	654	9588
1	2192	8683
0	8285	8212

Stop Event

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

Compiler

Compiled 389 to 183 computations (53% saved)

preprocess65.0ms (0.5%)

Memory: -6.5MiB live, 148.6MiB allocated
Compiler: Compiled 368 to 118 computations (67.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample1.1s (8.4%)

preprocess318.0ms (2.5%)

explain376.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify263.0ms (2.1%)

localize57.0ms (0.5%)

series1.9s (15.2%)

simplify259.0ms (2%)

rewrite331.0ms (2.6%)

eval43.0ms (0.3%)

prune53.0ms (0.4%)

simplify524.0ms (4.1%)

localize154.0ms (1.2%)

series52.0ms (0.4%)

simplify427.0ms (3.4%)

rewrite671.0ms (5.3%)

eval294.0ms (2.3%)

prune206.0ms (1.6%)

simplify394.0ms (3.1%)

localize159.0ms (1.3%)

series37.0ms (0.3%)

simplify411.0ms (3.2%)

rewrite560.0ms (4.4%)

eval549.0ms (4.3%)

prune204.0ms (1.6%)

simplify320.0ms (2.5%)

localize145.0ms (1.1%)

series19.0ms (0.2%)

simplify443.0ms (3.5%)

rewrite389.0ms (3.1%)

eval156.0ms (1.2%)

prune123.0ms (1%)

regimes133.0ms (1.1%)

regimes94.0ms (0.7%)

regimes78.0ms (0.6%)

regimes8.0ms (0.1%)

regimes23.0ms (0.2%)

regimes25.0ms (0.2%)

regimes22.0ms (0.2%)

regimes36.0ms (0.3%)

regimes44.0ms (0.3%)

bsearch18.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.1%)

bsearch15.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.1s (8.9%)

preprocess65.0ms (0.5%)

end0.0ms (0%)

Profiling