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

analyze1.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 (9%)

Memory

14.1MiB live, 1 156.9MiB allocated

Samples

604.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 398.0ms

ival-log: 137.0ms (34.4% of total)

ival-mult: 126.0ms (31.6% of total)

ival-add: 75.0ms (18.8% of total)

ival-sub: 44.0ms (11% of total)

exact: 8.0ms (2% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess313.0ms (2.7%)

Memory

5.4MiB live, 126.0MiB 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))

explain130.0ms (1.1%)

Memory

-1.1MiB live, 191.2MiB 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

46.0ms

512×

valid

Compiler

Compiled 112 to 48 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 9.0ms (37% of total)

ival-log: 7.0ms (28.8% of total)

ival-add: 4.0ms (16.4% of total)

ival-sub: 3.0ms (12.3% of total)

exact: 1.0ms (4.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

simplify115.0ms (1%)

Memory

-4.2MiB live, 87.4MiB 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)

localize34.0ms (0.3%)

Memory

20.8MiB live, 57.8MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

20.0ms

256×

valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

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

ival-mult: 4.0ms (37.2% of total)

ival-log: 3.0ms (27.9% of total)

ival-add: 2.0ms (18.6% of total)

ival-sub: 1.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

series123.0ms (1%)

Memory

4.0MiB live, 124.5MiB 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
46.0ms	x	@	0	(+ (* x 1/2) (* y (+ (- 1 z) (log z))))
37.0ms	y	@	0	(* y (+ (- 1 z) (log z)))
12.0ms	z	@	0	(log z)
10.0ms	z	@	-inf	(log z)
5.0ms	z	@	inf	(log z)

simplify2.1s (17.7%)

Memory

-5.9MiB live, 385.8MiB 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))))

rewrite333.0ms (2.8%)

Memory

-3.5MiB live, 463.9MiB 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))

eval41.0ms (0.3%)

Memory: 5.7MiB live, 84.1MiB allocated
Compiler: Compiled 9 026 to 908 computations (89.9% saved)

prune105.0ms (0.9%)

Memory

-4.1MiB live, 144.2MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	330	16	346
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	331	16	347

Accuracy

100.0%

Counts

347 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.1%	(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)))
	79.5%	(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)))
	99.9%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
▶	45.9%	(/.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))) (fma.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (.f64 x #s(literal -1/2 binary64))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.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)))))
	75.8%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) y) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) z)))
	75.8%	(+.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)))))
	99.8%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 y (.f64 (+.f64 (neg.f64 z) (log.f64 z)) y)))
	76.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
	45.8%	(.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)))
	63.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (-.f64 (log.f64 z) z) y))
▶	60.0%	#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)))
	41.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 y (neg.f64 z)))
▶	38.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 634 to 378 computations (40.4% saved)

simplify572.0ms (4.9%)

Memory

3.7MiB live, 394.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.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))) (fma.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (.f64 x #s(literal -1/2 binary64))))
✓	cost-diff	128	(fma.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (*.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 (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)))
✓	cost-diff	0	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
✓	cost-diff	0	(/.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))))
✓	cost-diff	128	(fma.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.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)))))
✓	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	(log.f64 z)
✓	cost-diff	0	(-.f64 (log.f64 z) z)
✓	cost-diff	0	(fma.f64 y (-.f64 (log.f64 z) 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 (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y)))

Rules

11 106×	`lower-fma.f32`
11 096×	`lower-fma.f64`
3 962×	`lower--.f32`
3 958×	`lower--.f64`
2 738×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	267
0	57	261
1	95	261
2	182	254
3	443	254
4	1637	254
5	2883	254
6	7593	254
0	8036	246

Stop Event

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

Calls

Call 1

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

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

localize110.0ms (0.9%)

Memory

12.1MiB live, 166.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
✓	accuracy	99.6%	(pow.f64 (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 2 binary64))
✓	accuracy	90.5%	(+.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)))
✓	accuracy	47.6%	(/.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))) (fma.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (.f64 x #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
✓	accuracy	99.9%	(fma.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.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)))))
✓	accuracy	99.3%	(/.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))))
✓	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	60.1%	#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	38.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	100.0%	#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)))
✓	accuracy	100.0%	(-.f64 (log.f64 z) z)
✓	accuracy	99.9%	(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))

Samples

63.0ms

256×

valid

Compiler

Compiled 256 to 33 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 14.0ms (34.1% of total)

ival-div: 9.0ms (21.9% of total)

ival-add: 8.0ms (19.5% of total)

ival-log: 4.0ms (9.7% of total)

ival-pow2: 3.0ms (7.3% of total)

ival-sub: 2.0ms (4.9% of total)

exact: 1.0ms (2.4% of total)

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

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

series71.0ms (0.6%)

Memory

-33.1MiB live, 92.2MiB allocated

Counts

18 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
36.0ms	z	@	-inf	(+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x)))
2.0ms	z	@	0	(+ (* y (log z)) (+ (* 1/2 x) y))
2.0ms	z	@	inf	(/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2)))
1.0ms	z	@	0	(/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2)))
1.0ms	x	@	0	(+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x)))

simplify407.0ms (3.5%)

Memory

34.3MiB live, 500.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 356×	`lower-fma.f64`
7 356×	`lower-fma.f32`
5 110×	`lower-*.f64`
5 110×	`lower-*.f32`
3 680×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	617	8638
1	1979	8312
2	7088	8265
0	8070	7507

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 513

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

rewrite409.0ms (3.5%)

Memory

19.4MiB live, 615.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 880×	`lower-fma.f32`
5 870×	`lower-fma.f64`
4 178×	`lower-*.f32`
4 166×	`lower-*.f64`
3 980×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	209
0	57	202
1	241	202
2	1901	202
0	8390	200

Stop Event

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

Counts

18 → 803

Calls

Call 1

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

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

eval302.0ms (2.6%)

Memory: -21.0MiB live, 369.7MiB allocated
Compiler: Compiled 49 687 to 3 218 computations (93.5% saved)

prune418.0ms (3.6%)

Memory

-39.6MiB live, 424.4MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 517	15	1 532
Fresh	6	5	11
Picked	3	2	5
Done	0	0	0
Total	1 526	22	1 548

Accuracy

100.0%

Counts

1 548 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.5%	(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)))
▶	99.9%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
	63.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (- 1 z) (log z))) (* x 1/2)) (fma.f64 y (-.f64 (log.f64 z) z) y))))
	38.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 #s(literal 2 binary64) x)))
▶	41.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
	75.8%	(+.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)))))
	76.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
	46.3%	(.f64 (fma.f64 x (.f64 x #s(literal -1/4 binary64)) (pow.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (.f64 x #s(literal -1/2 binary64)))))
	42.9%	(exp.f64 (log.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (*.f64 x #s(literal 1/2 binary64)))))
	63.1%	#s(approx (/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2))) (fma.f64 y (-.f64 (log.f64 z) z) y))
▶	41.0%	#s(approx (/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2))) (*.f64 y (neg.f64 z)))
	87.3%	#s(approx (/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2))) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (/.f64 y x) #s(literal 1/2 binary64))))
✓	60.0%	#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)))
	44.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) #s(approx (+ (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))))
▶	99.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y #s(approx (- (log z) z) (-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z)) (fma.f64 #s(literal 1/2 binary64) x y)))
	76.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y #s(approx (- (log z) z) (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) x y)))
	99.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))))
▶	59.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y (log.f64 z)))))
✓	38.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))
	48.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* y (log z)) (+ (* 1/2 x) y)) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (log.f64 z)) y)))
	23.1%	#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 645 to 396 computations (38.6% saved)

simplify675.0ms (5.7%)

Memory

-6.4MiB live, 539.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (- (log z) z) (-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z))
✓	cost-diff	0	(fma.f64 y #s(approx (- (log z) z) (-.f64 (*.f64 z (/.f64 (log.f64 z) z)) 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 #s(approx (- (log z) z) (-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z)) (fma.f64 #s(literal 1/2 binary64) x y)))
✓	cost-diff	1024	(*.f64 z (/.f64 (log.f64 z) z))
✓	cost-diff	0	(*.f64 y (log.f64 z))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y (log.f64 z))))
✓	cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y (log.f64 z)))))
✓	cost-diff	128	(+.f64 y (*.f64 y (log.f64 z)))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 y z))
✓	cost-diff	0	#s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 y (neg.f64 z))
✓	cost-diff	0	#s(approx (/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2))) (*.f64 y (neg.f64 z)))
✓	cost-diff	0	(log.f64 z)
✓	cost-diff	0	(fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	320	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))

Rules

15 940×	`lower-fma.f32`
15 930×	`lower-fma.f64`
3 622×	`lower--.f32`
3 618×	`lower--.f64`
3 370×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	267
0	69	259
1	116	259
2	194	259
3	413	242
4	1699	242
5	3071	242
0	8383	230

Stop Event

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

Calls

Call 1

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

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

localize218.0ms (1.9%)

Memory

9.2MiB live, 209.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z)
✓	accuracy	99.9%	(fma.f64 y #s(approx (- (log z) z) (-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z)) (fma.f64 #s(literal 1/2 binary64) x y))
✓	accuracy	99.6%	(/.f64 (log.f64 z) z)
✓	accuracy	98.8%	(*.f64 z (/.f64 (log.f64 z) z))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y (log.f64 z))))
✓	accuracy	99.6%	(+.f64 y (*.f64 y (log.f64 z)))
✓	accuracy	99.6%	(*.f64 y (log.f64 z))
✓	accuracy	60.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y (log.f64 z)))))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
✓	accuracy	99.2%	(/.f64 #s(literal -1 binary64) (*.f64 y z))
✓	accuracy	41.0%	#s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 #s(literal -1 binary64) (*.f64 y z)))
✓	accuracy	100.0%	(*.f64 y (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	41.0%	#s(approx (/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2))) (*.f64 y (neg.f64 z)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	99.9%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64)))

Samples

142.0ms

256×

valid

Compiler

Compiled 211 to 44 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 41.0ms (41.5% of total)

ival-add: 39.0ms (39.4% of total)

ival-div: 8.0ms (8.1% of total)

ival-sub: 4.0ms (4% of total)

ival-log: 4.0ms (4% of total)

ival-pow2: 3.0ms (3% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series70.0ms (0.6%)

Memory

-2.5MiB live, 42.1MiB allocated

Counts

22 → 540

Calls

Call 1

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

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 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 (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (* y (log z))>
#<alt (* y (+ (log z) (* 1/2 (/ x y))))>
#<alt (* y (+ (log z) (* 1/2 (/ x y))))>
#<alt (* y (+ (log z) (* 1/2 (/ x y))))>
#<alt (* y (log z))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1/2 (/ x y)))))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))>
#<alt (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))>
#<alt (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))>
#<alt (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (* y (log z))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (log z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (log z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (log z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (log 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 (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 (/ (+ (* -1/4 (pow x 2)) (* (pow y 2) (pow (+ 1 (log z)) 2))) (+ (* -1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (* -1/4 (/ (pow x 2) (+ (* -1/2 x) (* y (+ 1 (log z)))))) (+ (* z (- (* -2 (/ (* (pow y 2) (+ 1 (log z))) (+ (* -1/2 x) (* y (+ 1 (log z)))))) (* -1 (/ (* y (+ (* -1/4 (pow x 2)) (* (pow y 2) (pow (+ 1 (log z)) 2)))) (pow (+ (* -1/2 x) (* y (+ 1 (log z)))) 2))))) (/ (* (pow y 2) (pow (+ 1 (log z)) 2)) (+ (* -1/2 x) (* y (+ 1 (log z)))))))>
#<alt (+ (* -1/4 (/ (pow x 2) (+ (* -1/2 x) (* y (+ 1 (log z)))))) (+ (* z (- (+ (* -2 (/ (* (pow y 2) (+ 1 (log z))) (+ (* -1/2 x) (* y (+ 1 (log z)))))) (* z (- (/ (pow y 2) (+ (* -1/2 x) (* y (+ 1 (log z))))) (* -1 (/ (* y (- (* -2 (/ (* (pow y 2) (+ 1 (log z))) (+ (* -1/2 x) (* y (+ 1 (log z)))))) (* -1 (/ (* y (+ (* -1/4 (pow x 2)) (* (pow y 2) (pow (+ 1 (log z)) 2)))) (pow (+ (* -1/2 x) (* y (+ 1 (log z)))) 2))))) (+ (* -1/2 x) (* y (+ 1 (log z))))))))) (* -1 (/ (* y (+ (* -1/4 (pow x 2)) (* (pow y 2) (pow (+ 1 (log z)) 2)))) (pow (+ (* -1/2 x) (* y (+ 1 (log z)))) 2))))) (/ (* (pow y 2) (pow (+ 1 (log z)) 2)) (+ (* -1/2 x) (* y (+ 1 (log z)))))))>
#<alt (+ (* -1/4 (/ (pow x 2) (+ (* -1/2 x) (* y (+ 1 (log z)))))) (+ (* z (- (+ (* -2 (/ (* (pow y 2) (+ 1 (log z))) (+ (* -1/2 x) (* y (+ 1 (log z)))))) (* z (- (+ (/ (* y (* z (- (/ (pow y 2) (+ (* -1/2 x) (* y (+ 1 (log z))))) (* -1 (/ (* y (- (* -2 (/ (* (pow y 2) (+ 1 (log z))) (+ (* -1/2 x) (* y (+ 1 (log z)))))) (* -1 (/ (* y (+ (* -1/4 (pow x 2)) (* (pow y 2) (pow (+ 1 (log z)) 2)))) (pow (+ (* -1/2 x) (* y (+ 1 (log z)))) 2))))) (+ (* -1/2 x) (* y (+ 1 (log z))))))))) (+ (* -1/2 x) (* y (+ 1 (log z))))) (/ (pow y 2) (+ (* -1/2 x) (* y (+ 1 (log z)))))) (* -1 (/ (* y (- (* -2 (/ (* (pow y 2) (+ 1 (log z))) (+ (* -1/2 x) (* y (+ 1 (log z)))))) (* -1 (/ (* y (+ (* -1/4 (pow x 2)) (* (pow y 2) (pow (+ 1 (log z)) 2)))) (pow (+ (* -1/2 x) (* y (+ 1 (log z)))) 2))))) (+ (* -1/2 x) (* y (+ 1 (log z))))))))) (* -1 (/ (* y (+ (* -1/4 (pow x 2)) (* (pow y 2) (pow (+ 1 (log z)) 2)))) (pow (+ (* -1/2 x) (* y (+ 1 (log z)))) 2))))) (/ (* (pow y 2) (pow (+ 1 (log z)) 2)) (+ (* -1/2 x) (* y (+ 1 (log z)))))))>
#<alt (* -1 (* y z))>
#<alt (* z (- (+ (* -1 y) (* 2 (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))) (+ (* -1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z))))>
#<alt (* z (- (+ (* -1 y) (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* (pow y 2) (pow (+ 1 (* -1 (log (/ 1 z)))) 2))) (* y (pow z 2)))) (* 2 (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))) (+ (* -1 (/ (* (+ (* -1/2 x) (* y (+ 1 (* -1 (log (/ 1 z)))))) (- (* 2 (* y (+ 1 (* -1 (log (/ 1 z)))))) (+ (* -1/2 x) (* y (+ 1 (* -1 (log (/ 1 z)))))))) (* y (pow z 2)))) (+ (* -1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))))>
#<alt (* z (- (+ (* -1 y) (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* (pow y 2) (pow (+ 1 (* -1 (log (/ 1 z)))) 2))) (* y (pow z 2)))) (+ (* 2 (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)) (/ (* (+ (* -1/2 x) (* y (+ 1 (* -1 (log (/ 1 z)))))) (- (* -1 (/ (+ (* -1/4 (pow x 2)) (* (pow y 2) (pow (+ 1 (* -1 (log (/ 1 z)))) 2))) y)) (* -1 (/ (* (+ (* -1/2 x) (* y (+ 1 (* -1 (log (/ 1 z)))))) (- (* 2 (* y (+ 1 (* -1 (log (/ 1 z)))))) (+ (* -1/2 x) (* y (+ 1 (* -1 (log (/ 1 z)))))))) y)))) (* y (pow z 3)))))) (+ (* -1 (/ (* (+ (* -1/2 x) (* y (+ 1 (* -1 (log (/ 1 z)))))) (- (* 2 (* y (+ 1 (* -1 (log (/ 1 z)))))) (+ (* -1/2 x) (* y (+ 1 (* -1 (log (/ 1 z)))))))) (* y (pow z 2)))) (+ (* -1/2 (/ x z)) (/ (* y (+ 1 (* -1 (log (/ 1 z))))) z)))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (* y (+ 2 (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (+ (* -1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (/ (pow x 2) y)) (* y (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2))) (/ (* (+ (* -1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) (- (* y (+ 2 (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (+ (* -1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))))) y)) z)) (* y (+ 2 (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))))) (+ (* -1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (/ (pow x 2) y)) (+ (* y (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2)) (/ (* (+ (* -1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) (- (+ (* -1/4 (/ (pow x 2) y)) (* y (pow (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))) 2))) (/ (* (+ (* -1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) (- (* y (+ 2 (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (+ (* -1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))))) y))) (* y z)))) (/ (* (+ (* -1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) (- (* y (+ 2 (+ (* -2 (log (/ -1 z))) (* 2 (log -1))))) (+ (* -1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))))) y)) z)) (* y (+ 2 (+ (* -2 (log (/ -1 z))) (* 2 (log -1)))))) (+ (* -1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) 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 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y 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 (* 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 (+ (* 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 (/ 2 x)>
#<alt (+ (* -4 (/ (* y (- (+ 1 (log z)) z)) (pow x 2))) (* 2 (/ 1 x)))>
#<alt (+ (* y (- (* 8 (/ (* y (pow (- (+ 1 (log z)) z) 2)) (pow x 3))) (* 4 (/ (- (+ 1 (log z)) z) (pow x 2))))) (* 2 (/ 1 x)))>
#<alt (+ (* y (- (* y (- (* -16 (/ (* y (pow (- (+ 1 (log z)) z) 3)) (pow x 4))) (* -8 (/ (pow (- (+ 1 (log z)) z) 2) (pow x 3))))) (* 4 (/ (- (+ 1 (log z)) z) (pow x 2))))) (* 2 (/ 1 x)))>
#<alt (/ 1 (* y (- (+ 1 (log z)) z)))>
#<alt (/ (+ (* -1/2 (/ x (* y (pow (- (+ 1 (log z)) z) 2)))) (/ 1 (- (+ 1 (log z)) z))) y)>
#<alt (/ (- (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (pow (- (+ 1 (log z)) z) 3)))) (/ 1 (- (+ 1 (log z)) z))) (* 1/2 (/ x (* y (pow (- (+ 1 (log z)) z) 2))))) y)>
#<alt (/ (- (+ (* -1/8 (/ (pow x 3) (* (pow y 3) (pow (- (+ 1 (log z)) z) 4)))) (/ 1 (- (+ 1 (log z)) z))) (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (pow (- (+ 1 (log z)) z) 3)))) (* 1/2 (/ x (* y (pow (- (+ 1 (log z)) z) 2)))))) y)>
#<alt (/ 1 (* y (- (+ 1 (log z)) z)))>
#<alt (* -1 (/ (- (* 1/2 (/ x (* y (pow (- (+ 1 (log z)) z) 2)))) (/ 1 (- (+ 1 (log z)) z))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow x 2) (* y (pow (- (+ 1 (log z)) z) 3)))) (* 1/2 (/ x (pow (- (+ 1 (log z)) z) 2)))) y)) (/ 1 (- (+ 1 (log z)) z))) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) (* y (pow (- (+ 1 (log z)) z) 4)))) (* 1/4 (/ (pow x 2) (pow (- (+ 1 (log z)) z) 3)))) y)) (* 1/2 (/ x (pow (- (+ 1 (log z)) z) 2)))) y)) (/ 1 (- (+ 1 (log z)) z))) y))>
#<alt (/ 1 (+ (* 1/2 x) (* y (+ 1 (log z)))))>
#<alt (+ (/ 1 (+ (* 1/2 x) (* y (+ 1 (log z))))) (/ (* y z) (pow (+ (* 1/2 x) (* y (+ 1 (log z)))) 2)))>
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Calls

135 calls:

Time	Variable		Point	Expression
48.0ms	z	@	inf	(/ (log z) z)
5.0ms	z	@	-inf	(/ (log z) z)
1.0ms	z	@	inf	(/ -1 (* y z))
1.0ms	y	@	0	(* y (neg z))
1.0ms	y	@	inf	(/ -1 (* y z))

simplify533.0ms (4.5%)

Memory

-11.7MiB live, 742.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 640×	`lower-fma.f64`
7 640×	`lower-fma.f32`
4 706×	`lower-*.f64`
4 706×	`lower-*.f32`
4 436×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	553	7279
1	1757	6841
2	6198	6769
0	8429	6144

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

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))
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(* 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)))))
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(* -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)))
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1
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(+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))
(* y (log z))
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(/ 2 x)
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(* -1 (/ (- (* -1 (/ (- (* 8 (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) x)) (* 4 (* y (- (+ 1 (log z)) z)))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ (* (pow y 3) (pow (- (+ 1 (log z)) z) 3)) x)) (* 8 (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)))) x)) (* 4 (* y (- (+ 1 (log z)) z)))) x)) 2) x))
(/ -1 (* y z))
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(* 1/2 x)
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(* -1 (* z (+ y (* -1 (/ (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))))
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(* 1/2 x)
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(/ (log z) z)
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(/ (+ (log -1) (* -1 (log (/ -1 z)))) z)
(/ (+ (log -1) (* -1 (log (/ -1 z)))) z)
(/ (+ (log -1) (* -1 (log (/ -1 z)))) z)
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Outputs
(+ y (+ (* 1/2 x) (* y (log z))))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 y (log.f64 z) y))
(+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))
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(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y 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 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y 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 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y 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 z (neg.f64 y))
(* -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)) (neg.f64 (log.f64 (neg.f64 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)))))
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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)
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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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(* -1 (* y (+ (* -1 (log z)) (* -1 (- 1 z)))))
(fma.f64 y (-.f64 (log.f64 z) z) y)
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(* -1 (* y (+ (* -1 (log z)) (+ (* -1 (- 1 z)) (* -1/2 (/ x y))))))
(fma.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (-.f64 z (log.f64 z))) (neg.f64 y) 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))
(+ (* 1/2 x) (+ (* y (log z)) (* y (- 1 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)
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(*.f64 x (fma.f64 y (+.f64 (/.f64 (log.f64 z) x) (/.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 1/2 binary64)))
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(*.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)
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(*.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 (log z)) (* y (- 1 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
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
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(-.f64 #s(literal 1 binary64) z)
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(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* y (log z)))
(fma.f64 y (log.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* y (log z)))
(fma.f64 y (log.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(+ (* 1/2 x) (* y (log z)))
(fma.f64 y (log.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(* y (log z))
(*.f64 y (log.f64 z))
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(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (log.f64 z)))
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(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (log.f64 z)))
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(.f64 (neg.f64 y) (-.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (log.f64 z)))
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(.f64 (neg.f64 y) (-.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (log.f64 z)))
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(* z (+ (* -1 y) (+ (* -1 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y 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 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y 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 (/ (* y (log (/ 1 z))) z)) (+ (* 1/2 (/ x z)) (/ y 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 z (neg.f64 y))
(* -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)) (neg.f64 (log.f64 (neg.f64 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)) (neg.f64 (log.f64 (neg.f64 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)) (neg.f64 (log.f64 (neg.f64 z)))) (fma.f64 #s(literal 1/2 binary64) x y)) z)) (neg.f64 z))
(+ y (* y (- (log z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+ y (+ (* 1/2 x) (* y (- (log z) z))))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(+ y (+ (* 1/2 x) (* y (- (log z) z))))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 #s(literal 1/2 binary64) x y))
(+ y (+ (* 1/2 x) (* y (- (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 x) (/ (* y (- (log z) z)) x))))
(*.f64 x (+.f64 (/.f64 y x) (fma.f64 (-.f64 (log.f64 z) z) (/.f64 y x) #s(literal 1/2 binary64))))
(* x (+ 1/2 (+ (/ y x) (/ (* y (- (log z) z)) x))))
(*.f64 x (+.f64 (/.f64 y x) (fma.f64 (-.f64 (log.f64 z) z) (/.f64 y x) #s(literal 1/2 binary64))))
(* x (+ 1/2 (+ (/ y x) (/ (* y (- (log z) z)) x))))
(*.f64 x (+.f64 (/.f64 y x) (fma.f64 (-.f64 (log.f64 z) z) (/.f64 y x) #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1 (/ (+ y (* y (- (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 (* y (- (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 (* y (- (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))
(log z)
(log.f64 z)
(+ (log z) (* -1 z))
(-.f64 (log.f64 z) z)
(+ (log z) (* -1 z))
(-.f64 (log.f64 z) z)
(+ (log z) (* -1 z))
(-.f64 (log.f64 z) z)
(* -1 z)
(neg.f64 z)
(* z (- (* -1 (/ (log (/ 1 z)) z)) 1))
(fma.f64 z (/.f64 (log.f64 z) z) (neg.f64 z))
(* z (- (* -1 (/ (log (/ 1 z)) z)) 1))
(fma.f64 z (/.f64 (log.f64 z) z) (neg.f64 z))
(* z (- (* -1 (/ (log (/ 1 z)) z)) 1))
(fma.f64 z (/.f64 (log.f64 z) z) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))
(neg.f64 (fma.f64 z (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z)))) (neg.f64 z)) z))
(* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))
(neg.f64 (fma.f64 z (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z)))) (neg.f64 z)) z))
(* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))
(neg.f64 (fma.f64 z (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z)))) (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)
(/ (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)
(log z)
(log.f64 z)
(+ (log z) (* -1 z))
(-.f64 (log.f64 z) z)
(+ (log z) (* -1 z))
(-.f64 (log.f64 z) z)
(+ (log z) (* -1 z))
(-.f64 (log.f64 z) z)
(* -1 z)
(neg.f64 z)
(* z (- (* -1 (/ (log (/ 1 z)) z)) 1))
(fma.f64 z (/.f64 (log.f64 z) z) (neg.f64 z))
(* z (- (* -1 (/ (log (/ 1 z)) z)) 1))
(fma.f64 z (/.f64 (log.f64 z) z) (neg.f64 z))
(* z (- (* -1 (/ (log (/ 1 z)) z)) 1))
(fma.f64 z (/.f64 (log.f64 z) z) (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))
(neg.f64 (fma.f64 z (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z)))) (neg.f64 z)) z))
(* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))
(neg.f64 (fma.f64 z (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z)))) (neg.f64 z)) z))
(* -1 (* z (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 z)))) z)))))
(neg.f64 (fma.f64 z (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 z)))) (neg.f64 z)) z))

rewrite345.0ms (2.9%)

Memory

31.4MiB live, 544.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 794×	`lower-/.f32`
4 788×	`lower-/.f64`
4 172×	`lower-*.f32`
4 162×	`lower-*.f64`
3 952×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	240
0	69	240
1	313	240
2	2524	230
0	8711	220

Stop Event

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

Counts

22 → 578

Calls

Call 1

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

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

eval187.0ms (1.6%)

Memory: 3.9MiB live, 263.2MiB allocated
Compiler: Compiled 26 482 to 2 045 computations (92.3% saved)

prune140.0ms (1.2%)

Memory

-34.3MiB live, 275.4MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1 138	10	1 148
Fresh	5	10	15
Picked	3	2	5
Done	0	2	2
Total	1 146	24	1 170

Accuracy

100.0%

Counts

1 170 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.1%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 y (log.f64 z))))
	86.8%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 x (fma.f64 y (/.f64 (log.f64 z) x) #s(literal 1/2 binary64)))))
▶	76.0%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
▶	63.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (- 1 z) (log z))) (* x 1/2)) (fma.f64 y (-.f64 (log.f64 z) z) y))))
▶	40.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
	40.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 (/.f64 #s(literal -1 binary64) y) z)))
	38.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 #s(literal 2 binary64) x)))
✓	41.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
	40.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))))
	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)))))
	76.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
	63.1%	#s(approx (/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2))) (fma.f64 y (-.f64 (log.f64 z) z) y))
✓	41.0%	#s(approx (/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2))) (*.f64 y (neg.f64 z)))
	87.3%	#s(approx (/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2))) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (/.f64 y x) #s(literal 1/2 binary64))))
	81.6%	#s(approx (+ (* (- 1 z) y) (+ (* y (log z)) (* x 1/2))) (*.f64 x (fma.f64 y (+.f64 (/.f64 (log.f64 z) x) (/.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 1/2 binary64))))
✓	60.0%	#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)))
▶	44.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) #s(approx (+ (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))))
	99.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y #s(approx (- (log z) z) (-.f64 (.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) (log.f64 z))) z)) (fma.f64 #s(literal 1/2 binary64) x y)))
▶	99.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))))
	34.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (log.f64 z) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 y (log.f64 z) y)))))
✓	38.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))
	48.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* y (log z)) (+ (* 1/2 x) y)) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (log.f64 z)) y)))
	23.1%	#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)))
	55.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ y (* y (log z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (log.f64 z) x) (/.f64 y x))))))

Compiler

Compiled 634 to 395 computations (37.7% saved)

simplify123.0ms (1%)

Memory

35.0MiB live, 112.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y (-.f64 (log.f64 z) z) y)
✓	cost-diff	0	#s(approx (+ (* y (+ (- 1 z) (log z))) (* x 1/2)) (fma.f64 y (-.f64 (log.f64 z) z) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (- 1 z) (log z))) (* x 1/2)) (fma.f64 y (-.f64 (log.f64 z) z) y)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (- 1 z) (log z))) (* x 1/2)) (fma.f64 y (-.f64 (log.f64 z) z) y))))
✓	cost-diff	0	#s(approx (+ (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(log.f64 z)
✓	cost-diff	0	(fma.f64 y (log.f64 z) #s(approx (+ (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) #s(approx (+ (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) z)
✓	cost-diff	0	#s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 (/.f64 #s(literal -1 binary64) z) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal -1 binary64) z) y)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	#s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	0	(*.f64 y (-.f64 (log.f64 z) z))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
✓	cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))))
✓	cost-diff	128	(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))

Rules

2 336×	`lower-fma.f32`
2 328×	`lower-fma.f64`
648×	`lower-*.f32`
644×	`lower-*.f64`
552×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	292
0	56	287
1	87	287
2	126	271
3	191	271
4	339	271
5	555	271
6	935	271
7	1393	271
8	1818	271
9	2020	271
10	2154	271
11	2215	271
12	2233	271
13	2233	271
0	2233	266

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize157.0ms (1.3%)

Memory

5.7MiB live, 159.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 y (-.f64 (log.f64 z) z) y)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (- 1 z) (log z))) (* x 1/2)) (fma.f64 y (-.f64 (log.f64 z) z) y))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (- 1 z) (log z))) (* x 1/2)) (fma.f64 y (-.f64 (log.f64 z) z) y)))
✓	accuracy	63.2%	#s(approx (+ (* y (+ (- 1 z) (log z))) (* x 1/2)) (fma.f64 y (-.f64 (log.f64 z) z) y))
✓	accuracy	100.0%	(log.f64 z)
✓	accuracy	99.8%	(fma.f64 y (log.f64 z) #s(approx (+ (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x)))
✓	accuracy	60.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) #s(approx (+ (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))))
✓	accuracy	50.1%	#s(approx (+ (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) z)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal -1 binary64) z) y)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
✓	accuracy	41.0%	#s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 (/.f64 #s(literal -1 binary64) z) y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.9%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
✓	accuracy	49.8%	#s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
✓	accuracy	100.0%	(-.f64 (log.f64 z) z)
✓	accuracy	99.8%	(*.f64 y (-.f64 (log.f64 z) z))
✓	accuracy	99.8%	(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))

Samples

52.0ms

256×

valid

Compiler

Compiled 220 to 31 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-add: 11.0ms (32.9% of total)

ival-mult: 9.0ms (26.9% of total)

ival-div: 7.0ms (20.9% of total)

ival-log: 4.0ms (12% of total)

ival-sub: 2.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

-9.9MiB live, 27.7MiB allocated

Counts

21 → 576

Calls

Call 1

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

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 (* -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 (* 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 (* y (- (log z) z)))>
#<alt (+ y (+ (* 1/2 x) (* y (- (log z) z))))>
#<alt (+ y (+ (* 1/2 x) (* y (- (log z) z))))>
#<alt (+ y (+ (* 1/2 x) (* y (- (log z) z))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (+ (/ y x) (/ (* y (- (log z) z)) x))))>
#<alt (* x (+ 1/2 (+ (/ y x) (/ (* y (- (log z) z)) x))))>
#<alt (* x (+ 1/2 (+ (/ y x) (/ (* y (- (log z) z)) x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ y (* y (- (log z) z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y (* y (- (log z) z))) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y (* y (- (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 (* -1 (* y (- (* -1 (- (log z) z)) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (- (log z) z)) (* -1/2 (/ x y))) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (- (log z) z)) (* -1/2 (/ x y))) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (- (log z) z)) (* -1/2 (/ x y))) 1)))>
#<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 (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (- (log z) z))>
#<alt (* y (log z))>
#<alt (+ (* -1 (* y z)) (* y (log z)))>
#<alt (+ (* -1 (* y z)) (* y (log z)))>
#<alt (+ (* -1 (* y z)) (* y (log z)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (* -1 (/ (* y (log (/ 1 z))) z))))>
#<alt (* z (+ (* -1 y) (* -1 (/ (* y (log (/ 1 z))) z))))>
#<alt (* z (+ (* -1 y) (* -1 (/ (* y (log (/ 1 z))) z))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ (log -1) (* -1 (log (/ -1 z))))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (* y (+ (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 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 (* 1/2 x)>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (* y (log z))>
#<alt (* y (+ (log z) (* 1/2 (/ x y))))>
#<alt (* y (+ (log z) (* 1/2 (/ x y))))>
#<alt (* y (+ (log z) (* 1/2 (/ x y))))>
#<alt (* y (log z))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (log z)) (* -1/2 (/ x y)))))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))>
#<alt (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))>
#<alt (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))>
#<alt (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (+ (* 1/2 x) (* y (+ (log -1) (* -1 (log (/ -1 z))))))>
#<alt (* y (log z))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (+ (* 1/2 x) (* y (log z)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ (* y (log z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (log z)) x)))>
#<alt (* x (+ 1/2 (/ (* y (log z)) x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2)))>
#<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 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y z))>
#<alt (/ -1 (* y 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 (* 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 (+ (* 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 (/ 2 x)>
#<alt (+ (* -4 (/ (* y (- (+ 1 (log z)) z)) (pow x 2))) (* 2 (/ 1 x)))>
#<alt (+ (* y (- (* 8 (/ (* y (pow (- (+ 1 (log z)) z) 2)) (pow x 3))) (* 4 (/ (- (+ 1 (log z)) z) (pow x 2))))) (* 2 (/ 1 x)))>
#<alt (+ (* y (- (* y (- (* -16 (/ (* y (pow (- (+ 1 (log z)) z) 3)) (pow x 4))) (* -8 (/ (pow (- (+ 1 (log z)) z) 2) (pow x 3))))) (* 4 (/ (- (+ 1 (log z)) z) (pow x 2))))) (* 2 (/ 1 x)))>
#<alt (/ 1 (* y (- (+ 1 (log z)) z)))>
#<alt (/ (+ (* -1/2 (/ x (* y (pow (- (+ 1 (log z)) z) 2)))) (/ 1 (- (+ 1 (log z)) z))) y)>
#<alt (/ (- (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (pow (- (+ 1 (log z)) z) 3)))) (/ 1 (- (+ 1 (log z)) z))) (* 1/2 (/ x (* y (pow (- (+ 1 (log z)) z) 2))))) y)>
#<alt (/ (- (+ (* -1/8 (/ (pow x 3) (* (pow y 3) (pow (- (+ 1 (log z)) z) 4)))) (/ 1 (- (+ 1 (log z)) z))) (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (pow (- (+ 1 (log z)) z) 3)))) (* 1/2 (/ x (* y (pow (- (+ 1 (log z)) z) 2)))))) y)>
#<alt (/ 1 (* y (- (+ 1 (log z)) z)))>
#<alt (* -1 (/ (- (* 1/2 (/ x (* y (pow (- (+ 1 (log z)) z) 2)))) (/ 1 (- (+ 1 (log z)) z))) y))>
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#<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 (+ (* 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 (* 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)))))>

Calls

144 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(+ y (* y (- (log z) z)))
0.0ms	y	@	0	(+ y (* y (- (log z) z)))
0.0ms	z	@	inf	(/ -1 z)
0.0ms	z	@	inf	(+ y (* y (- (log z) z)))
0.0ms	z	@	-inf	(+ y (* y (- (log z) z)))

simplify392.0ms (3.3%)

Memory

9.6MiB live, 632.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 496×	`lower-fma.f64`
8 496×	`lower-fma.f32`
4 606×	`lower-*.f64`
4 606×	`lower-*.f32`
3 402×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	459	7977
1	1451	7698
2	4777	7513
0	8258	6841

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 573

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

rewrite443.0ms (3.8%)

Memory

14.9MiB live, 614.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 906×	`lower-fma.f32`
4 898×	`lower-fma.f64`
4 062×	`lower-*.f32`
4 058×	`lower-*.f64`
4 018×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	261
0	56	254
1	256	254
2	1960	254
0	8289	242

Stop Event

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

Counts

21 → 472

Calls

Call 1

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

Outputs
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)
(-.f64 (/.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y))) (/.f64 (.f64 y y) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 y (-.f64 (log.f64 z) z)))) (/.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (-.f64 y (.f64 y (-.f64 (log.f64 z) z)))))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(fma.f64 (-.f64 (log.f64 z) z) y y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (.f64 y (-.f64 (log.f64 z) z))) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64))) (fma.f64 y (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y (-.f64 (log.f64 z) z)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)) (.f64 y y)) (fma.f64 y (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)) (-.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 y (-.f64 (log.f64 z) z))) (-.f64 (.f64 y y) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (.f64 y (-.f64 (log.f64 z) z))) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64))) (fma.f64 y (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 y (-.f64 (log.f64 z) z)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)) (.f64 y y)) (fma.f64 y (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)) (-.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y (.f64 y (-.f64 (log.f64 z) z))) (-.f64 (.f64 y y) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 y (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (.f64 y (-.f64 (log.f64 z) z))) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64))))
(/.f64 (fma.f64 y (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64))) (fma.f64 (.f64 y (-.f64 (log.f64 z) z)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (.f64 y y)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)))
(/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64))) (-.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(/.f64 (neg.f64 (fma.f64 y (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (.f64 y (-.f64 (log.f64 z) z))) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 y (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y (-.f64 (log.f64 z) z)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)) (.f64 y y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 y (-.f64 (log.f64 z) z)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y))) (.f64 (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)) (.f64 y y))) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y (.f64 y (-.f64 (log.f64 z) z)))) (.f64 (-.f64 y (.f64 y (-.f64 (log.f64 z) z))) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)))) (pow.f64 (-.f64 y (*.f64 y (-.f64 (log.f64 z) z))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (.f64 y (-.f64 (log.f64 z) z))) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y (-.f64 (log.f64 z) z)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)) (.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 y (*.f64 y (-.f64 (log.f64 z) z))))))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (.f64 y (-.f64 (log.f64 z) z))) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64))) (fma.f64 y (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 y (-.f64 (log.f64 z) z)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)) (.f64 y y)) (fma.f64 y (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)) (-.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y (.f64 y (-.f64 (log.f64 z) z))) (-.f64 (.f64 y y) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (fma.f64 y (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 y (-.f64 (log.f64 z) z))) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)))))
(.f64 (fma.f64 y (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (-.f64 (log.f64 z) z)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)) (*.f64 y y))))
(.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y))))
(.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 y (-.f64 (log.f64 z) z)))))
(*.f64 (+.f64 (-.f64 (log.f64 z) z) #s(literal 1 binary64)) y)
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 x #s(literal 1/2 binary64) y)))
(+.f64 y (fma.f64 x #s(literal 1/2 binary64) (*.f64 y (-.f64 (log.f64 z) z))))
(+.f64 y (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 x #s(literal 1/2 binary64) y))
(+.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 y (-.f64 (log.f64 z) z)))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 y (-.f64 (log.f64 z) z))) y)
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 y (-.f64 (log.f64 z) z) y))) (/.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 y (-.f64 (log.f64 z) z) y))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)) (-.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (.f64 x #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 y (-.f64 (log.f64 z) z)))) (/.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 y (-.f64 (log.f64 z) z)))))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 x #s(literal 1/2 binary64) y))
(fma.f64 (-.f64 (log.f64 z) z) y (fma.f64 x #s(literal 1/2 binary64) y))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 y (-.f64 (log.f64 z) z) y))
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eval149.0ms (1.3%)

Memory: 20.3MiB live, 328.1MiB allocated
Compiler: Compiled 23 912 to 1 796 computations (92.5% saved)

prune136.0ms (1.2%)

Memory

-21.4MiB live, 326.9MiB allocated

Pruning

31 alts after pruning (23 fresh and 8 done)

	Pruned	Kept	Total
New	1 118	11	1 129
Fresh	3	12	15
Picked	1	4	5
Done	0	4	4
Total	1 122	31	1 153

Accuracy

100.0%

Counts

1 153 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.8%	(fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (.f64 z (.f64 z z)))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y #s(approx (+ ( y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
	41.1%	(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 #s(literal 1 binary64) (neg.f64 z))))) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
	56.6%	(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 z #s(literal 1 binary64))) y #s(approx (+ ( y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
	63.1%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 y (log.f64 z))))
	86.8%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 x (fma.f64 y (/.f64 (log.f64 z) x) #s(literal 1/2 binary64)))))
✓	76.0%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
	56.5%	(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
	76.9%	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
	40.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (- 1 z) (log z))) (* x 1/2)) (fma.f64 y #s(approx (- (log z) z) (neg.f64 z)) y))))
	23.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (- 1 z) (log z))) (* x 1/2)) (fma.f64 y #s(approx (- (log z) z) (log.f64 z)) y))))
✓	40.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
	40.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 (/.f64 #s(literal -1 binary64) y) z)))
	38.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 #s(literal 2 binary64) x)))
✓	41.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
	40.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))))
	32.4%	(.f64 (.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (+ (* y (log z)) (* x 1/2)) (.f64 x #s(literal 1/2 binary64)))) (-.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(approx (+ (* y (log z)) (* x 1/2)) (.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))))))
	63.1%	#s(approx (/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2))) (fma.f64 y (-.f64 (log.f64 z) z) y))
✓	41.0%	#s(approx (/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2))) (*.f64 y (neg.f64 z)))
	81.6%	#s(approx (+ (* (- 1 z) y) (+ (* y (log z)) (* x 1/2))) (*.f64 x (fma.f64 y (+.f64 (/.f64 (log.f64 z) x) (/.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 1/2 binary64))))
✓	60.0%	#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)))
✓	44.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) #s(approx (+ (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))))
	99.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y #s(approx (- (log z) z) (-.f64 (.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) (log.f64 z))) z)) (fma.f64 #s(literal 1/2 binary64) x y)))
✓	99.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))))
	76.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y #s(approx (- (log z) z) (neg.f64 z))))))
	90.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) #s(approx (+ y (* y (- (log z) z))) (*.f64 z (-.f64 (/.f64 (fma.f64 y (log.f64 z) y) z) y)))))
	34.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (log.f64 z) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 y (log.f64 z) y)))))
✓	38.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))
	48.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* y (log z)) (+ (* 1/2 x) y)) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (log.f64 z)) y)))
	23.1%	#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)))
	55.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* y (log z)) (+ (* 1/2 x) y)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) (/.f64 y x) #s(literal 1/2 binary64)))))
	55.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ y (* y (log z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (log.f64 z) x) (/.f64 y x))))))

Compiler

Compiled 1 300 to 476 computations (63.4% saved)

regimes178.0ms (1.5%)

Memory

8.4MiB live, 206.0MiB allocated

Counts

53 → 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 (/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2))) (*.f64 y (neg.f64 z)))
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y #s(approx (- (log z) z) (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) x y)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y #s(approx (- (log z) z) (neg.f64 z))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (- 1 z) (log z))) (* x 1/2)) (fma.f64 y #s(approx (- (log z) z) (neg.f64 z)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 (/.f64 #s(literal -1 binary64) y) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 z #s(literal 1 binary64))) y #s(approx (+ ( y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y (+ (- 1 z) (log z))) (* x 1/2))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 #s(literal 1 binary64) (neg.f64 z))))) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(approx (+ (* y (log z)) (* x 1/2)) (.f64 x #s(literal 1/2 binary64)))) (-.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(approx (+ (* y (log z)) (* x 1/2)) (.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (-.f64 #s(literal 1 binary64) z)) #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (.f64 z (.f64 z z)))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y #s(approx (+ ( y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
#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 (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (-.f64 (log.f64 z) z) y))
#s(approx (/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2))) (fma.f64 y (-.f64 (log.f64 z) z) y))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (log.f64 z) #s(approx (+ (* 1/2 x) y) (*.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)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y (log.f64 z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 y (log.f64 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)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 y (log.f64 z) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 y (.f64 (+.f64 (neg.f64 z) (log.f64 z)) y)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* y (log z)) (+ (* 1/2 x) y)) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (log.f64 z)) y)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* y (log z)) (+ (* 1/2 x) y)) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) (/.f64 y x) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2))) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (/.f64 y x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (- 1 z) (log z))) (* x 1/2)) (fma.f64 y #s(approx (- (log z) z) (log.f64 z)) y))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) #s(approx (+ y (* y (- (log z) z))) (*.f64 z (-.f64 (/.f64 (fma.f64 y (log.f64 z) y) z) y)))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y #s(approx (- (log z) z) (-.f64 (*.f64 z (/.f64 (log.f64 z) z)) z)) (fma.f64 #s(literal 1/2 binary64) x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (+ (- 1 z) (log z))) (* x 1/2)) (fma.f64 y (-.f64 (log.f64 z) z) y))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 x (fma.f64 y (/.f64 (log.f64 z) x) #s(literal 1/2 binary64)))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ y (* y (log z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (log.f64 z) x) (/.f64 y x))))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y #s(approx (- (log z) z) (-.f64 (.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) (log.f64 z))) z)) (fma.f64 #s(literal 1/2 binary64) x 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 (+ (* (- 1 z) y) (+ (* y (log z)) (* x 1/2))) (*.f64 x (fma.f64 y (+.f64 (/.f64 (log.f64 z) x) (/.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.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)))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (*.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)))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) y) (+.f64 (-.f64 (log.f64 z) #s(literal 1 binary64)) 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)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (log.f64 z) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 y (log.f64 z) y)))))
(/.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))) (fma.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (.f64 x #s(literal -1/2 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal -1/4 binary64)) (pow.f64 (.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (.f64 x #s(literal -1/2 binary64)))))
(.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)))))
(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)))

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:

41.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
38.0ms	y
35.0ms	x
16.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
15.0ms	(*.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)

regimes72.0ms (0.6%)

Memory

-25.7MiB live, 98.5MiB allocated

Counts

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

Outputs

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

#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)))

Calls

7 calls:

20.0ms	y
10.0ms	(*.f64 x #s(literal 1/2 binary64))
8.0ms	x
8.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
8.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Results

Accuracy	Segments	Branch
88.0%	3	`x`
88.5%	3	`y`
98.3%	2	`z`
80.5%	3	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
88.0%	3	`(*.f64 x #s(literal 1/2 binary64))`
86.7%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
98.3%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`

Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes25.0ms (0.2%)

Memory

7.5MiB live, 44.1MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

9.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
7.0ms	z
7.0ms	y

Results

Accuracy	Segments	Branch
88.5%	3	`y`
85.1%	3	`z`
84.5%	3	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes44.0ms (0.4%)

Memory

-20.4MiB live, 99.2MiB allocated

Counts

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

Outputs

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

#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)))

Calls

6 calls:

9.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
8.0ms	y
7.0ms	x
6.0ms	(*.f64 x #s(literal 1/2 binary64))
6.0ms	z

Results

Accuracy	Segments	Branch
79.8%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
80.7%	3	`z`
76.9%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
76.9%	1	`x`
76.9%	1	`(*.f64 x #s(literal 1/2 binary64))`
76.9%	1	`y`

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes27.0ms (0.2%)

Memory

25.4MiB live, 64.1MiB allocated

Counts

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

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

Calls

4 calls:

7.0ms	z
6.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
6.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
6.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Results

Accuracy	Segments	Branch
76.9%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
76.9%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
76.9%	1	`z`
76.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes16.0ms (0.1%)

Memory

-2.3MiB live, 35.4MiB allocated

Counts

3 → 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 (/ (+ (pow (* y (+ (- 1 z) (log z))) 2) (* -1/4 (* x x))) (+ (* y (+ (- 1 z) (log z))) (* x -1/2))) (*.f64 y (neg.f64 z)))

Outputs

#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))

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

Calls

7 calls:

4.0ms	(*.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	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
2.0ms	x

Results

Accuracy	Segments	Branch
59.6%	3	`x`
59.6%	3	`(*.f64 x #s(literal 1/2 binary64))`
56.8%	3	`y`
60.5%	2	`z`
54.3%	5	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
60.5%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
64.8%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`

Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes11.0ms (0.1%)

Memory

-12.7MiB live, 26.3MiB 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:

2.0ms	z
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
1.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
1.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
1.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
38.7%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
38.7%	1	`y`
38.7%	1	`x`
38.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
38.7%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
38.7%	1	`z`
38.7%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`

Compiler

Compiled 53 to 40 computations (24.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2172.0583900350684	-707.6869446703093

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch34.0ms (0.3%)

Memory

7.6MiB live, 49.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	78542640974.98256	2372565274086.3877
20.0ms	-2.702355837228359e+99	-3.8445410910077597e+77

Samples

20.0ms

288×

valid

Compiler

Compiled 468 to 287 computations (38.7% saved)

Precisions

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

ival-log: 4.0ms (34.1% of total)

ival-mult: 4.0ms (34.1% of total)

ival-add: 3.0ms (25.6% of total)

ival-sub: 1.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-157.13541563543598	-147.11869004985337

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.375234351126614e+62	2.2848703918572664e+82
0.0ms	-9.643079003068626e+69	-3.3890528223985504e+62

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify20.0ms (0.2%)

Memory

-24.4MiB live, 14.7MiB 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	61	313
1	75	313
2	85	313
3	91	313
4	94	313
5	95	313

Stop Event

1×

saturated

Calls

Call 1

Inputs
#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 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -2000 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y #s(approx (- (log z) z) (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) x y))) #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))))
(if (<=.f64 y #s(literal -3499999999999999857958535597226269560221986313769580038844086534323463730328340489306112 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (-.f64 (log.f64 z) z) y)) (if (<=.f64 y #s(literal 520000000000 binary64)) (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y #s(approx (+ (* y (log z)) (* x 1/2)) (.f64 #s(literal 1/2 binary64) x))) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (-.f64 (log.f64 z) z) y))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -150 binary64)) (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y #s(approx (+ (* y (log z)) (* x 1/2)) (.f64 #s(literal 1/2 binary64) x))) #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))))
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal -5000000000000000362657181907646175630791872048232609777591050777395200 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 y (neg.f64 z))) (if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 500000000000000028928979971363484913696689344587520219086323712 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
#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 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -2000 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y #s(approx (- (log z) z) (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) x y))) #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))))
(if (<=.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)) #s(literal -2000 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y #s(approx (- (log z) z) (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) x y))) #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))))
(if (<=.f64 y #s(literal -3499999999999999857958535597226269560221986313769580038844086534323463730328340489306112 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (-.f64 (log.f64 z) z) y)) (if (<=.f64 y #s(literal 520000000000 binary64)) (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y #s(approx (+ (* y (log z)) (* x 1/2)) (.f64 #s(literal 1/2 binary64) x))) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (-.f64 (log.f64 z) z) y))))
(if (<=.f64 y #s(literal -3499999999999999857958535597226269560221986313769580038844086534323463730328340489306112 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 y (-.f64 (log.f64 z) z) y)) (if (<=.f64 y #s(literal 520000000000 binary64)) (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y #s(approx (+ (* y (log z)) (* x 1/2)) (.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) y))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -150 binary64)) (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y #s(approx (+ (* y (log z)) (* x 1/2)) (.f64 #s(literal 1/2 binary64) x))) #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))))
(if (<=.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)) #s(literal -150 binary64)) (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y #s(approx (+ (* y (log z)) (* x 1/2)) (.f64 x #s(literal 1/2 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))))
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y #s(approx (+ (* y (log z)) (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal -5000000000000000362657181907646175630791872048232609777591050777395200 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 y (neg.f64 z))) (if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 500000000000000028928979971363484913696689344587520219086323712 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 (.f64 y (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))) #s(literal -5000000000000000362657181907646175630791872048232609777591050777395200 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (neg.f64 (.f64 y z))) (if (<=.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))) #s(literal 500000000000000028928979971363484913696689344587520219086323712 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 y z)))))
#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)))

soundness1.0s (8.7%)

Memory

34.3MiB live, 783.4MiB allocated

Rules

9 802×	`lower-fma.f64`
9 802×	`lower-fma.f32`
8 496×	`lower-fma.f64`
8 496×	`lower-fma.f32`
7 640×	`lower-fma.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
0	459	7977
1	1451	7698
2	4777	7513
0	8258	6841
0	553	7279
1	1757	6841
2	6198	6769
0	8429	6144
0	11	31
0	17	31
1	70	31
2	596	31
0	8472	30
0	617	8638
1	1979	8312
2	7088	8265
0	8070	7507

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

Compiler

Compiled 379 to 180 computations (52.5% saved)

preprocess84.0ms (0.7%)

Memory: 9.5MiB live, 172.4MiB allocated
Compiler: Compiled 358 to 120 computations (66.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample1.1s (9%)

preprocess313.0ms (2.7%)

explain130.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify115.0ms (1%)

localize34.0ms (0.3%)

series123.0ms (1%)

simplify2.1s (17.7%)

rewrite333.0ms (2.8%)

eval41.0ms (0.3%)

prune105.0ms (0.9%)

simplify572.0ms (4.9%)

localize110.0ms (0.9%)

series71.0ms (0.6%)

simplify407.0ms (3.5%)

rewrite409.0ms (3.5%)

eval302.0ms (2.6%)

prune418.0ms (3.6%)

simplify675.0ms (5.7%)

localize218.0ms (1.9%)

series70.0ms (0.6%)

simplify533.0ms (4.5%)

rewrite345.0ms (2.9%)

eval187.0ms (1.6%)

prune140.0ms (1.2%)

simplify123.0ms (1%)

localize157.0ms (1.3%)

series14.0ms (0.1%)

simplify392.0ms (3.3%)

rewrite443.0ms (3.8%)

eval149.0ms (1.3%)

prune136.0ms (1.2%)

regimes178.0ms (1.5%)

regimes72.0ms (0.6%)

regimes25.0ms (0.2%)

regimes44.0ms (0.4%)

regimes27.0ms (0.2%)

regimes16.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch34.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify20.0ms (0.2%)

soundness1.0s (8.7%)

preprocess84.0ms (0.7%)

end0.0ms (0%)

Profiling