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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze1.0ms (0%)

Memory

5.8MiB live, 5.8MiB 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)

sample1.4s (13.1%)

Memory

15.8MiB live, 1 154.2MiB allocated

Samples

986.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 786.0ms

ival-mult: 360.0ms (45.8% of total)

ival-log: 262.0ms (33.3% of total)

ival-add: 93.0ms (11.8% of total)

ival-sub: 54.0ms (6.9% of total)

exact: 8.0ms (1% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain166.0ms (1.6%)

Memory

14.5MiB live, 138.8MiB 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

40.0ms

512×

valid

Compiler

Compiled 94 to 37 computations (60.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-log: 7.0ms (30.8% of total)

ival-mult: 7.0ms (30.8% of total)

ival-add: 5.0ms (22% of total)

ival-sub: 3.0ms (13.2% of total)

exact: 1.0ms (4.4% of total)

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

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

preprocess1.2s (11.3%)

Memory

-3.1MiB live, 74.6MiB 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 (-.f64 (log.f64 z) z) y (fma.f64 #s(literal 1/2 binary64) x y))

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify968.0ms (9.1%)

Memory

-23.3MiB live, 71.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize29.0ms (0.3%)

Memory

-9.4MiB live, 68.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0	(log.f64 z)
accuracy	0.18359375	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Samples

21.0ms

256×

valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

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

ival-log: 4.0ms (33.7% of total)

ival-mult: 3.0ms (25.3% of total)

ival-add: 2.0ms (16.8% of total)

ival-sub: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series111.0ms (1%)

Memory

-0.1MiB live, 234.7MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	z	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
22.0ms	y	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
19.0ms	z	@	-inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
14.0ms	y	@	inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
6.0ms	z	@	inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))

simplify142.0ms (1.3%)

Memory

22.2MiB live, 256.7MiB 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	946
1	256	789
2	764	786
3	2720	753
4	6727	750
0	8113	672

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite193.0ms (1.8%)

Memory

-15.7MiB live, 220.6MiB allocated

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 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))))))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) (.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y)) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y)) #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y)) #s(literal -1 binary64))) (hypot.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (hypot.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 9 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64))) (-.f64 (hypot.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 x y) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)) #s(literal 3 binary64)))))
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(fma.f64 z #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 z)))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (+.f64 #s(literal 1 binary64) (log.f64 z)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(-.f64 (+.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 0 binary64)) z)
(-.f64 (+.f64 (log.f64 z) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(-.f64 (+.f64 (log.f64 z) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (/.f64 (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
(-.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (-.f64 z (log.f64 z)))) (/.f64 (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (-.f64 z (log.f64 z)))))
(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
(-.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (log.f64 z)))
(-.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) (log.f64 z)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(-.f64 (-.f64 #s(literal 1 binary64) z) (neg.f64 (log.f64 z)))
(-.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))
(+.f64 (+.f64 (log.f64 z) (neg.f64 z)) #s(literal 1 binary64))
(+.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (neg.f64 z))
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) (neg.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
(+.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (log.f64 z)))
(+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) z (log.f64 z)))
(+.f64 #s(literal 0 binary64) (log.f64 z))
(+.f64 (log.f64 z) #s(literal 0 binary64))
(log.f64 z)

eval40.0ms (0.4%)

Memory: 28.1MiB live, 64.4MiB allocated
Compiler: Compiled 8 212 to 922 computations (88.8% saved)

prune22.0ms (0.2%)

Memory

5.6MiB live, 43.8MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	328	18	346
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	329	18	347

Accuracy

100.0%

Counts

347 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.0%	(fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x))
▶	99.9%	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
	99.8%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))))
	66.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
	64.1%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (-.f64 z (log.f64 z)))))
	77.5%	(+.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)))))
	99.8%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))))
	77.6%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) y))))
	81.6%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (/.f64 (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))))
	66.2%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (-.f64 z (log.f64 z)))))))
	79.8%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
▶	44.8%	(.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))))
	56.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
	99.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)))
▶	65.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)))
	36.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 z) y))
▶	46.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 622 to 456 computations (26.7% saved)

simplify185.0ms (1.7%)

Memory

-15.8MiB live, 222.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal -1/2 binary64) x))
cost-diff	128	(*.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y)
cost-diff	6272	(-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
cost-diff	15168	(.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))))
cost-diff	0	(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	128	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))))
cost-diff	0	(log.f64 z)
cost-diff	0	(fma.f64 (log.f64 z) y y)
cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(log.f64 z)
cost-diff	0	(+.f64 (log.f64 z) #s(literal 1 binary64))
cost-diff	0	(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
cost-diff	128	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))

Rules

13 426×	`lower-fma.f32`
13 418×	`lower-fma.f64`
4 178×	`lower-*.f32`
4 168×	`lower-*.f64`
2 914×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	269
0	52	244
1	94	244
2	205	244
3	737	244
4	3688	244
5	7475	244
0	8916	231

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.1%)

Memory

-3.9MiB live, 153.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.19984324740929058	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal -1/2 binary64) x)))
accuracy	0.29296875	(pow.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64))
accuracy	3.5937417433208236	(-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
accuracy	33.80217861226589	(.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))))
accuracy	0	(log.f64 z)
accuracy	0.08203125	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))))
accuracy	0.19203074740929058	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x)))
accuracy	0	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))
accuracy	0	(log.f64 z)
accuracy	0.3125	(fma.f64 (log.f64 z) y y)
accuracy	21.8678027540939	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	34.49857626152677	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0	(+.f64 (log.f64 z) #s(literal 1 binary64))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(log.f64 z)
accuracy	0.08203125	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))

Samples

57.0ms

256×

valid

Compiler

Compiled 268 to 32 computations (88.1% saved)

Precisions

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

ival-mult: 10.0ms (26.9% of total)

ival-add: 9.0ms (24.2% of total)

ival-div: 5.0ms (13.4% of total)

ival-pow2: 5.0ms (13.4% of total)

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

ival-sub: 3.0ms (8.1% of total)

exact: 1.0ms (2.7% of total)

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

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

series171.0ms (1.6%)

Memory

4.7MiB live, 201.4MiB allocated

Counts

18 → 492

Calls

Call 1

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

Outputs
#s(alt (+ (* 1/2 x) (* y (+ 1 (log z)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (log z)) (taylor 0 z) (#s(alt (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) (patch (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (log z) (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) (patch (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (log z) (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) (patch (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (+ (log z) (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) (patch (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (log z)) (taylor 0 z) (#s(alt (+.f64 (log.f64 z) #s(literal 1 binary64)) (patch (+.f64 (log.f64 z) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (log z)) (taylor 0 z) (#s(alt (+.f64 (log.f64 z) #s(literal 1 binary64)) (patch (+.f64 (log.f64 z) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (log z)) (taylor 0 z) (#s(alt (+.f64 (log.f64 z) #s(literal 1 binary64)) (patch (+.f64 (log.f64 z) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (log z)) (taylor 0 z) (#s(alt (+.f64 (log.f64 z) #s(literal 1 binary64)) (patch (+.f64 (log.f64 z) #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (log z) (taylor 0 z) (#s(alt (log.f64 z) (patch (log.f64 z) #<representation:binary64>) () ())) ())
#s(alt (log z) (taylor 0 z) (#s(alt (log.f64 z) (patch (log.f64 z) #<representation:binary64>) () ())) ())
#s(alt (log z) (taylor 0 z) (#s(alt (log.f64 z) (patch (log.f64 z) #<representation:binary64>) () ())) ())
#s(alt (log z) (taylor 0 z) (#s(alt (log.f64 z) (patch (log.f64 z) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (+ 1 (log z)))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (+ 1 (log z)))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y y) (patch (fma.f64 (log.f64 z) y y) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y y) (patch (fma.f64 (log.f64 z) y y) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y y) (patch (fma.f64 (log.f64 z) y y) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y y) (patch (fma.f64 (log.f64 z) y y) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (+ 1 (log z)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (+ (/ 1 (+ (* 1/2 x) (* y (+ 1 (log z))))) (/ (* y z) (pow (+ (* 1/2 x) (* y (+ 1 (log z)))) 2))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 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)))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) #<representation:binary64>) () ())) ())
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#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4 (/ (* y (- (+ 1 (log z)) z)) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) x)) (* 4 (* y (- (+ 1 (log z)) z)))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) (patch (.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) (patch (.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) (patch (.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) (patch (.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)))) #<representation:binary64>) () ())) ())
#s(alt (* -1/4 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) (pow x 2)) 1/4)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) (pow x 2)) 1/4)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) (pow x 2)) 1/4)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 x) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* -1 (/ (* y (- (+ 1 (log z)) z)) x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* -1 (/ (* y (- (+ 1 (log z)) z)) x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* -1 (/ (* y (- (+ 1 (log z)) z)) x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 4 (/ (* y (- (+ 1 (log z)) z)) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* -1 (/ (- (* -8 (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) x)) (* 4 (* y (- (+ 1 (log z)) z)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* -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))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	x	@	0	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (* (- (pow (* (- (+ (log z) 1) z) y) 2) (pow (* 1/2 x) 2)) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* -1/2 x)))) (- (pow (* (- (+ (log z) 1) z) y) 2) (pow (* 1/2 x) 2)) (* (- (+ (log z) 1) z) y) (+ (* (- (+ (log z) 1) z) y) (* -1/2 x)) (* 1/2 x) (pow (* (- (+ (log z) 1) z) y) 2) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* -1/2 x))))
28.0ms	y	@	0	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (* (- (pow (* (- (+ (log z) 1) z) y) 2) (pow (* 1/2 x) 2)) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* -1/2 x)))) (- (pow (* (- (+ (log z) 1) z) y) 2) (pow (* 1/2 x) 2)) (* (- (+ (log z) 1) z) y) (+ (* (- (+ (log z) 1) z) y) (* -1/2 x)) (* 1/2 x) (pow (* (- (+ (log z) 1) z) y) 2) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* -1/2 x))))
20.0ms	z	@	inf	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (* (- (pow (* (- (+ (log z) 1) z) y) 2) (pow (* 1/2 x) 2)) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* -1/2 x)))) (- (pow (* (- (+ (log z) 1) z) y) 2) (pow (* 1/2 x) 2)) (* (- (+ (log z) 1) z) y) (+ (* (- (+ (log z) 1) z) y) (* -1/2 x)) (* 1/2 x) (pow (* (- (+ (log z) 1) z) y) 2) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* -1/2 x))))
16.0ms	y	@	inf	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (* (- (pow (* (- (+ (log z) 1) z) y) 2) (pow (* 1/2 x) 2)) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* -1/2 x)))) (- (pow (* (- (+ (log z) 1) z) y) 2) (pow (* 1/2 x) 2)) (* (- (+ (log z) 1) z) y) (+ (* (- (+ (log z) 1) z) y) (* -1/2 x)) (* 1/2 x) (pow (* (- (+ (log z) 1) z) y) 2) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* -1/2 x))))
11.0ms	z	@	-inf	((+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (* (- (pow (* (- (+ (log z) 1) z) y) 2) (pow (* 1/2 x) 2)) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* -1/2 x)))) (- (pow (* (- (+ (log z) 1) z) y) 2) (pow (* 1/2 x) 2)) (* (- (+ (log z) 1) z) y) (+ (* (- (+ (log z) 1) z) y) (* -1/2 x)) (* 1/2 x) (pow (* (- (+ (log z) 1) z) y) 2) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* -1/2 x))))

simplify269.0ms (2.5%)

Memory

36.1MiB live, 272.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 164×	`lower-fma.f64`
9 164×	`lower-fma.f32`
6 104×	`lower-*.f64`
6 104×	`lower-*.f32`
4 124×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	717	9323
1	2351	8740
0	8452	7969

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
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(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* 1/2 x)
(* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2)))
(* 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)
(* -1 (/ (- (* 4 (/ (* y (- (+ 1 (log z)) z)) x)) 2) x))
(* -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))
(* 1/2 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)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) (pow x 2)) 1/4))
(* (pow x 2) (- (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) (pow x 2)) 1/4))
(* (pow x 2) (- (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) (pow x 2)) 1/4))
(* -1/2 x)
(* -1 (* x (+ 1/2 (* -1 (/ (* y (- (+ 1 (log z)) z)) x)))))
(* -1 (* x (+ 1/2 (* -1 (/ (* y (- (+ 1 (log z)) z)) x)))))
(* -1 (* x (+ 1/2 (* -1 (/ (* y (- (+ 1 (log z)) z)) x)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(/ -2 x)
(* -1 (/ (+ 2 (* 4 (/ (* y (- (+ 1 (log z)) z)) x))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -8 (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) x)) (* 4 (* y (- (+ 1 (log z)) z)))) x))) x))
(* -1 (/ (+ 2 (* -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))) x))

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

rewrite480.0ms (4.5%)

Memory

-25.5MiB live, 368.0MiB allocated

Rules

7 132×	`lower-fma.f32`
7 124×	`lower-fma.f64`
4 518×	`lower-*.f32`
4 508×	`lower-*.f64`
4 060×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	195
0	52	170
1	254	170
2	1943	170
0	8895	169

Stop Event

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

Counts

18 → 1 227

Calls

Call 1

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

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

eval551.0ms (5.2%)

Memory: 37.4MiB live, 617.5MiB allocated
Compiler: Compiled 87 861 to 5 111 computations (94.2% saved)

prune72.0ms (0.7%)

Memory

18.4MiB live, 245.7MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	2 446	15	2 461
Fresh	9	4	13
Picked	2	3	5
Done	0	0	0
Total	2 457	22	2 479

Accuracy

100.0%

Counts

2 479 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.0%	(fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x))
✓	99.9%	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
	99.8%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
	54.1%	(fma.f64 (sqrt.f64 (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))) (sqrt.f64 (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))) (*.f64 x #s(literal 1/2 binary64)))
▶	99.8%	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x))
	79.8%	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
▶	56.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))))
	36.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))
	99.8%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))))
	77.6%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) y))))
	56.1%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
▶	99.9%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)))
	80.2%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (-.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 z) y y) z)) y) z))
▶	36.3%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (neg.f64 z) y))
✓	65.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)))
	65.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (log.f64 z) (log.f64 z) #s(literal -1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64)))))
	65.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 (*.f64 y (log.f64 z)) y)))
	21.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓	46.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
▶	22.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)))
	60.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (*.f64 (fma.f64 (log.f64 z) (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1/2 binary64))) x)))
	33.8%	#s(approx (* (- (pow (* (- (+ (log z) 1) z) y) 2) (pow (* 1/2 x) 2)) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* -1/2 x)))) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (.f64 (*.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) y) y)) (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (log.f64 z) y y))))

Compiler

Compiled 560 to 442 computations (21.1% saved)

simplify258.0ms (2.4%)

Memory

-13.3MiB live, 107.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x))
cost-diff	128	(-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
cost-diff	384	(+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z))
cost-diff	1216	(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)
cost-diff	0	(fma.f64 (-.f64 (log.f64 z) z) y y)
cost-diff	0	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))))
cost-diff	0	(log.f64 z)
cost-diff	0	(fma.f64 (log.f64 z) y y)
cost-diff	0	#s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (neg.f64 z) y))
cost-diff	0	(-.f64 (log.f64 z) z)
cost-diff	0	(fma.f64 (-.f64 (log.f64 z) z) y y)
cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)))

Rules

7 424×	`lower-fma.f32`
7 416×	`lower-fma.f64`
2 094×	`div-sub`
2 080×	`lower-*.f32`
2 074×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	307
0	64	295
1	120	283
2	210	283
3	378	277
4	620	265
5	1066	265
6	2036	265
7	3765	265
8	5313	265
9	6344	265
10	6663	265
11	6832	265
12	6888	265
13	6951	265
14	7220	265
15	7580	265
0	8058	262

Stop Event

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

Calls

Call 1

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

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

localize144.0ms (1.3%)

Memory

-29.5MiB live, 118.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x))
accuracy	0.1171875	(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)
accuracy	0.25	(+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z))
accuracy	0.296875	(/.f64 (log.f64 z) z)
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))))
accuracy	0.1875	(fma.f64 (-.f64 (log.f64 z) z) y y)
accuracy	0.19203074740929058	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))
accuracy	28.01982267995993	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))
accuracy	0	(log.f64 z)
accuracy	0.3125	(fma.f64 (log.f64 z) y y)
accuracy	21.8678027540939	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)))
accuracy	33.20895309469173	#s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	40.7569041302266	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (neg.f64 z) y))
accuracy	0	(-.f64 (log.f64 z) z)
accuracy	0	(log.f64 z)
accuracy	0	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)))
accuracy	0.1875	(fma.f64 (-.f64 (log.f64 z) z) y y)

Samples

87.0ms

256×

valid

Compiler

Compiled 228 to 34 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-add: 41.0ms (58.7% of total)

ival-mult: 12.0ms (17.2% of total)

ival-div: 6.0ms (8.6% of total)

ival-sub: 5.0ms (7.2% of total)

ival-log: 4.0ms (5.7% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series113.0ms (1.1%)

Memory

5.5MiB live, 165.0MiB allocated

Counts

19 → 480

Calls

Call 1

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

Outputs
#s(alt (+ (* 1/2 x) (* y (+ 1 (log z)))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z))))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z))))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z))))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (log.f64 z) z) y y) (patch (fma.f64 (-.f64 (log.f64 z) z) y y) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (* y z)) (* y (log z)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (log.f64 z) z) y y) (patch (fma.f64 (-.f64 (log.f64 z) z) y y) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (* y z)) (* y (log z)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (log.f64 z) z) y y) (patch (fma.f64 (-.f64 (log.f64 z) z) y y) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (* y z)) (* y (log z)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (log.f64 z) z) y y) (patch (fma.f64 (-.f64 (log.f64 z) z) y y) #<representation:binary64>) () ())) ())
#s(alt (log z) (taylor 0 z) (#s(alt (-.f64 (log.f64 z) z) (patch (-.f64 (log.f64 z) z) #<representation:binary64>) () ())) ())
#s(alt (+ (log z) (* -1 z)) (taylor 0 z) (#s(alt (-.f64 (log.f64 z) z) (patch (-.f64 (log.f64 z) z) #<representation:binary64>) () ())) ())
#s(alt (+ (log z) (* -1 z)) (taylor 0 z) (#s(alt (-.f64 (log.f64 z) z) (patch (-.f64 (log.f64 z) z) #<representation:binary64>) () ())) ())
#s(alt (+ (log z) (* -1 z)) (taylor 0 z) (#s(alt (-.f64 (log.f64 z) z) (patch (-.f64 (log.f64 z) z) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (+ 1 (log z)))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (.f64 (neg.f64 z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (neg.f64 z) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (.f64 (neg.f64 z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (neg.f64 z) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (.f64 (neg.f64 z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (neg.f64 z) y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (.f64 (neg.f64 z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (neg.f64 z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation:binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation:binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation:binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation:binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (+ 1 (log z)))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) (patch #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) (patch #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) (patch #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) (patch #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y y) (patch (fma.f64 (log.f64 z) y y) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y y) (patch (fma.f64 (log.f64 z) y y) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y y) (patch (fma.f64 (log.f64 z) y y) #<representation:binary64>) () ())) ())
#s(alt (+ y (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y y) (patch (fma.f64 (log.f64 z) y y) #<representation:binary64>) () ())) ())
#s(alt (log z) (taylor 0 z) (#s(alt (log.f64 z) (patch (log.f64 z) #<representation:binary64>) () ())) ())
#s(alt (log z) (taylor 0 z) (#s(alt (log.f64 z) (patch (log.f64 z) #<representation:binary64>) () ())) ())
#s(alt (log z) (taylor 0 z) (#s(alt (log.f64 z) (patch (log.f64 z) #<representation:binary64>) () ())) ())
#s(alt (log z) (taylor 0 z) (#s(alt (log.f64 z) (patch (log.f64 z) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (+ 1 (log z)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) #<representation:binary64>) () ())) ())
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#s(alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x))) (taylor inf x) (#s(alt (fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (- (log z) z))) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (- (log z) z))) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (- (log z) z))) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (.f64 (neg.f64 z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (neg.f64 z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (.f64 (neg.f64 z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (neg.f64 z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (.f64 (neg.f64 z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (neg.f64 z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (.f64 (neg.f64 z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (neg.f64 z) y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) (patch #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) (patch #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) (patch #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) (patch #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) #<representation:binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4 (/ (* y (- (+ 1 (log z)) z)) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) x)) (* 4 (* y (- (+ 1 (log z)) z)))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x)) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	y	@	0	((/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* x 1/2) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (* (neg z) y) (neg z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (log z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (- (+ (/ (log z) z) (/ 1 z)) 1) z) (+ (/ (log z) z) (/ 1 z)) (- (+ (/ (log z) z) (/ 1 z)) 1) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (/ (log z) z))
15.0ms	z	@	inf	((/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* x 1/2) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (* (neg z) y) (neg z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (log z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (- (+ (/ (log z) z) (/ 1 z)) 1) z) (+ (/ (log z) z) (/ 1 z)) (- (+ (/ (log z) z) (/ 1 z)) 1) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (/ (log z) z))
14.0ms	z	@	-inf	((/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* x 1/2) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (* (neg z) y) (neg z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (log z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (- (+ (/ (log z) z) (/ 1 z)) 1) z) (+ (/ (log z) z) (/ 1 z)) (- (+ (/ (log z) z) (/ 1 z)) 1) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (/ (log z) z))
8.0ms	z	@	0	((/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* x 1/2) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (* (neg z) y) (neg z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (log z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (- (+ (/ (log z) z) (/ 1 z)) 1) z) (+ (/ (log z) z) (/ 1 z)) (- (+ (/ (log z) z) (/ 1 z)) 1) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (/ (log z) z))
8.0ms	y	@	-inf	((/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* x 1/2) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (* (neg z) y) (neg z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (log z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (- (+ (/ (log z) z) (/ 1 z)) 1) z) (+ (/ (log z) z) (/ 1 z)) (- (+ (/ (log z) z) (/ 1 z)) 1) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (/ (log z) z))

simplify258.0ms (2.4%)

Memory

2.5MiB live, 352.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 472×	`lower-fma.f64`
9 472×	`lower-fma.f32`
4 296×	`lower-*.f64`
4 296×	`lower-*.f32`
4 180×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	421	6464
1	1303	5940
2	4374	5815
0	8216	5274

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(+ (* 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)))))
(+ y (+ (* 1/2 x) (* y (log z))))
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(+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))
(+ y (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (log z)))))
(+ 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))))
(log z)
(+ (log z) (* -1 z))
(+ (log z) (* -1 z))
(+ (log z) (* -1 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)))))
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(* -1 (* y z))
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(+ y (+ (* 1/2 x) (* y (log z))))
(+ y (+ (* 1/2 x) (* y (log z))))
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(+ y (+ (* 1/2 x) (* y (log z))))
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(log z)
(log z)
(log z)
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(+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z)))))
(/ 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))))))
(+ (* 1/2 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)))))
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(/ (log z) z)
(/ (log z) z)
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(/ (log z) z)
(* -1 (* y z))
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(+ y (+ (* -1 (* y (log (/ 1 z)))) (* 1/2 x)))
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(/ (- (* -1 (/ (* (+ (* -1 (/ (log (/ 1 z)) y)) (+ (* 1/2 (/ x (pow y 2))) (/ 1 y))) (pow (+ (* 1/2 x) (* y (+ 1 (* -1 (log (/ 1 z)))))) 2)) (* (pow y 2) (pow z 3)))) (+ (* -1 (/ (log (/ 1 z)) (* y z))) (+ (* 1/2 (/ x (* (pow y 2) z))) (+ (/ 1 y) (+ (/ 1 (* y z)) (/ (* (+ (* -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)))))))) z)
(* -1 (* y z))
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(/ (+ 1 (* -1 (log (/ 1 z)))) z)
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(/ (+ 1 (* -1 (log (/ 1 z)))) z)
-1
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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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(/ -1 (* y z))
(* -1 (/ (+ (* -1 (/ (log (/ -1 z)) (* y z))) (+ (* 1/2 (/ x (* (pow y 2) z))) (+ (/ 1 y) (+ (/ 1 (* y z)) (/ (log -1) (* y z)))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ (* -1 (/ (log (/ -1 z)) y)) (+ (* 1/2 (/ x (pow y 2))) (+ (/ 1 y) (/ (log -1) y)))) (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) (* y z))) (+ (* -1 (/ (log (/ -1 z)) y)) (+ (* 1/2 (/ x (pow y 2))) (+ (/ 1 y) (/ (log -1) y))))) z)) (/ 1 y)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (+ (* -1 (/ (log (/ -1 z)) y)) (+ (* 1/2 (/ x (pow y 2))) (+ (/ 1 y) (/ (log -1) y)))) (pow (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z))))))) 2)) (* (pow y 2) z)) (* -1 (/ (* (+ (* -1 (/ (log (/ -1 z)) y)) (+ (* 1/2 (/ x (pow y 2))) (+ (/ 1 y) (/ (log -1) y)))) (+ (* 1/2 x) (* y (+ 1 (+ (log -1) (* -1 (log (/ -1 z)))))))) y))) z)) (+ (* -1 (/ (log (/ -1 z)) y)) (+ (* 1/2 (/ x (pow y 2))) (+ (/ 1 y) (/ (log -1) y))))) z)) (/ 1 y)) z))
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(* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1) z))
(* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1) z))
(* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1) z))
-1
(- (* -1 (/ (- (* -1 (+ (log -1) (* -1 (log (/ -1 z))))) 1) z)) 1)
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(* 1/2 x)
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(/ 2 x)
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(* 1/2 x)
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(/ (+ (* -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)
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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 (- (+ (* -1 (- (log z) z)) (* -1/2 (/ x y))) 1)))
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(* -1 (* y (+ (* -1 (- (+ 1 (log z)) z)) (* -1/2 (/ x y)))))
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(* -1 (* y (- (+ (* -1 (log z)) (* -1/2 (/ x y))) 1)))
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(* -1 (* y (- (+ (* -1 (log z)) (* -1/2 (/ x y))) 1)))
(* -1 (* y (- (* -1 (log z)) 1)))
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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)))))
(/ 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))
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(+ y (+ (* 1/2 x) (* y (log z))))
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(+ (* 1/2 x) (* y (- (+ 1 (log z)) z)))
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(+ (* -1/2 (/ x (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)))) (/ 1 (* y (- (+ 1 (log z)) z))))
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(/ 2 x)
(/ (+ 2 (* -4 (/ (* y (- (+ 1 (log z)) z)) x))) x)
(/ (- (+ 2 (* 8 (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) (pow x 2)))) (* 4 (/ (* y (- (+ 1 (log z)) z)) x))) x)
(/ (- (+ 2 (* -16 (/ (* (pow y 3) (pow (- (+ 1 (log z)) z) 3)) (pow x 3)))) (+ (* -8 (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) (pow x 2))) (* 4 (/ (* y (- (+ 1 (log z)) z)) x)))) x)
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(* 1/2 x)
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(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* x (+ 1/2 (/ (* y (- (+ 1 (log z)) z)) x)))
(* 1/2 x)
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(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* 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)))
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(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
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(* -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 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2)))
(* 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)
(* -1 (/ (- (* 4 (/ (* y (- (+ 1 (log z)) z)) x)) 2) x))
(* -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))
(* 1/2 x)
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(* 1/2 x)
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(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))
(* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2)))

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

rewrite267.0ms (2.5%)

Memory

-3.1MiB live, 280.7MiB allocated

Rules

5 128×	`lower-*.f32`
5 122×	`lower-*.f64`
4 050×	`lower-/.f32`
4 042×	`lower-/.f64`
3 930×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	249
0	64	237
1	320	225
2	2718	225
0	9118	220

Stop Event

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

Counts

19 → 550

Calls

Call 1

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

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

eval484.0ms (4.5%)

Memory: 10.6MiB live, 273.9MiB allocated
Compiler: Compiled 24 835 to 3 360 computations (86.5% saved)

prune277.0ms (2.6%)

Memory

15.9MiB live, 130.3MiB allocated

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	1 205	13	1 218
Fresh	8	6	14
Picked	1	4	5
Done	1	2	3
Total	1 215	25	1 240

Accuracy

100.0%

Counts

1 240 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
	54.1%	(fma.f64 (sqrt.f64 (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))) (sqrt.f64 (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))) (*.f64 x #s(literal 1/2 binary64)))
▶	99.8%	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z)) y (.f64 #s(literal 1/2 binary64) x))
✓	99.8%	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x))
	99.8%	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (*.f64 #s(literal 1/2 binary64) x))
▶	79.8%	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
▶	22.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))))
▶	36.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) y) z)))
	36.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))
	56.1%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
✓	99.9%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)))
	78.9%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y)))
	77.6%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z)) y) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))
▶	99.8%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y)))
	90.4%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) #s(approx (+ (* (- (log z) z) y) y) (*.f64 (-.f64 (/.f64 (fma.f64 (log.f64 z) y y) z) y) z))))
	83.3%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) x) y #s(literal 1/2 binary64)) x))
	25.6%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))
✓	36.3%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (neg.f64 z) y))
✓	65.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)))
	21.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓	46.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
✓	22.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)))
	21.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (/.f64 (*.f64 (fma.f64 (log.f64 z) (log.f64 z) #s(literal -1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64)))))
	21.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (+.f64 (*.f64 (log.f64 z) y) y)))
	60.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (*.f64 (fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/2 binary64)) x)))

Compiler

Compiled 554 to 462 computations (16.6% saved)

simplify447.0ms (4.2%)

Memory

-9.5MiB live, 245.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y)
cost-diff	0	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))))
cost-diff	0	(*.f64 (-.f64 (log.f64 z) z) y)
cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y)))
cost-diff	128	(+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) y) z)
cost-diff	0	#s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) y) z)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- (+ (log z) 1) z) (neg.f64 z))
cost-diff	0	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	#s(approx (- (+ (log z) 1) z) (*.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z))
cost-diff	0	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z)) y (.f64 #s(literal 1/2 binary64) x))
cost-diff	1024	(*.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z)
cost-diff	13056	(fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z))))

Rules

12 772×	`lower-fma.f32`
12 762×	`lower-fma.f64`
2 286×	`lower-*.f32`
2 280×	`lower-*.f64`
1 604×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	335
0	68	327
1	118	317
2	209	313
3	484	298
4	955	297
5	2296	297
6	4229	297
7	7331	297
0	8140	288

Stop Event

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

Calls

Call 1

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

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

localize85.0ms (0.8%)

Memory

-5.1MiB live, 192.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1875	(fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y)
accuracy	0.19203074740929058	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y)))
accuracy	28.01982267995993	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))
accuracy	33.01318552188969	#s(approx (- (log z) z) (log.f64 z))
accuracy	0	(log.f64 z)
accuracy	0	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y)))
accuracy	0.15234375	(+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y)
accuracy	0.171875	(*.f64 (-.f64 (log.f64 z) z) y)
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) y) z)))
accuracy	0.2578125	(/.f64 (/.f64 #s(literal -1 binary64) y) z)
accuracy	40.78060144140746	#s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) y) z))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(neg.f64 z)
accuracy	0.08203125	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
accuracy	29.65871124142919	#s(approx (- (+ (log z) 1) z) (neg.f64 z))
accuracy	0.08203125	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z)) y (.f64 #s(literal 1/2 binary64) x))
accuracy	0.1171875	(*.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z)
accuracy	0.16796875	(fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z))))
accuracy	2.78415147372427	(expm1.f64 (neg.f64 (log.f64 z)))

Samples

58.0ms

256×

valid

Compiler

Compiled 252 to 30 computations (88.1% saved)

Precisions

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

ival-add: 9.0ms (23.9% of total)

ival-mult: 9.0ms (23.9% of total)

ival-div: 8.0ms (21.3% of total)

ival-log: 4.0ms (10.6% of total)

ival-expm1: 2.0ms (5.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series84.0ms (0.8%)

Memory

27.0MiB live, 222.3MiB allocated

Counts

23 → 540

Calls

Call 1

Inputs
#s(alt (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) (patch (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z) (patch (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z)) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z)) y (.f64 #s(literal 1/2 binary64) x)) #<representation:binary64>) () ())
#s(alt #s(approx (- (+ (log z) 1) z) (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z)) (patch #s(approx (- (+ (log z) 1) z) (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 #s(literal 1/2 binary64) x)) #<representation:binary64>) () ())
#s(alt #s(approx (- (+ (log z) 1) z) (neg.f64 z)) (patch #s(approx (- (+ (log z) 1) z) (neg.f64 z)) #<representation:binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) y) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) y) z))) #<representation:binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) y) z)) (patch #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) y) z)) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) z) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) z) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation:binary64>) () ())
#s(alt (+.f64 (.f64 (-.f64 (log.f64 z) z) y) y) (patch (+.f64 (.f64 (-.f64 (log.f64 z) z) y) y) #<representation:binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (log.f64 z) z) y) y))) (patch #s(approx (/ 1 (/ 1 (+ ( (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y))) #<representation:binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (log.f64 z) z) y) y)) (patch (fma.f64 x #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (log.f64 z) z) y) y)) #<representation:binary64>) () ())
#s(alt (.f64 (-.f64 (log.f64 z) z) y) (patch (.f64 (-.f64 (log.f64 z) z) y) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y)))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y)) (patch #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y) (patch (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y) #<representation:binary64>) () ())
#s(alt (expm1.f64 (neg.f64 (log.f64 z))) (patch (expm1.f64 (neg.f64 (log.f64 z))) #<representation:binary64>) () ())
#s(alt (log.f64 z) (patch (log.f64 z) #<representation:binary64>) () ())
#s(alt #s(approx (- (log z) z) (log.f64 z)) (patch #s(approx (- (log z) z) (log.f64 z)) #<representation:binary64>) () ())

Outputs
#s(alt (/ (log z) z) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) (patch (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (log z) (* z (- (exp (neg (log z))) 1))) z) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) (patch (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (log z) (* z (- (exp (neg (log z))) 1))) z) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) (patch (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (log z) (* z (- (exp (neg (log z))) 1))) z) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) (patch (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) #<representation:binary64>) () ())) ())
#s(alt (log z) (taylor 0 z) (#s(alt (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z) (patch (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z) #<representation:binary64>) () ())) ())
#s(alt (+ (log z) (* z (- (exp (neg (log z))) 1))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z) (patch (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z) #<representation:binary64>) () ())) ())
#s(alt (+ (log z) (* z (- (exp (neg (log z))) 1))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z) (patch (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z) #<representation:binary64>) () ())) ())
#s(alt (+ (log z) (* z (- (exp (neg (log z))) 1))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z) (patch (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z) #<representation:binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	y	@	0	((+ (* (neg (log z)) (/ -1 z)) (- (exp (neg (log z))) 1)) (* (+ (* (neg (log z)) (/ -1 z)) (- (exp (neg (log z))) 1)) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/ (/ -1 y) z) (/ -1 y) (+ (* (- (log z) z) y) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* x 1/2) (+ (* (- (log z) z) y) y)) (* (- (log z) z) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (- (log z) z) y) y) (- (exp (neg (log z))) 1) (log z) (- (log z) z))
11.0ms	z	@	-inf	((+ (* (neg (log z)) (/ -1 z)) (- (exp (neg (log z))) 1)) (* (+ (* (neg (log z)) (/ -1 z)) (- (exp (neg (log z))) 1)) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/ (/ -1 y) z) (/ -1 y) (+ (* (- (log z) z) y) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* x 1/2) (+ (* (- (log z) z) y) y)) (* (- (log z) z) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (- (log z) z) y) y) (- (exp (neg (log z))) 1) (log z) (- (log z) z))
10.0ms	z	@	0	((+ (* (neg (log z)) (/ -1 z)) (- (exp (neg (log z))) 1)) (* (+ (* (neg (log z)) (/ -1 z)) (- (exp (neg (log z))) 1)) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/ (/ -1 y) z) (/ -1 y) (+ (* (- (log z) z) y) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* x 1/2) (+ (* (- (log z) z) y) y)) (* (- (log z) z) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (- (log z) z) y) y) (- (exp (neg (log z))) 1) (log z) (- (log z) z))
9.0ms	y	@	-inf	((+ (* (neg (log z)) (/ -1 z)) (- (exp (neg (log z))) 1)) (* (+ (* (neg (log z)) (/ -1 z)) (- (exp (neg (log z))) 1)) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/ (/ -1 y) z) (/ -1 y) (+ (* (- (log z) z) y) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* x 1/2) (+ (* (- (log z) z) y) y)) (* (- (log z) z) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (- (log z) z) y) y) (- (exp (neg (log z))) 1) (log z) (- (log z) z))
8.0ms	z	@	inf	((+ (* (neg (log z)) (/ -1 z)) (- (exp (neg (log z))) 1)) (* (+ (* (neg (log z)) (/ -1 z)) (- (exp (neg (log z))) 1)) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (neg z) (* 1/2 x) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/ (/ -1 y) z) (/ -1 y) (+ (* (- (log z) z) y) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* x 1/2) (+ (* (- (log z) z) y) y)) (* (- (log z) z) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (- (log z) z) y) y) (- (exp (neg (log z))) 1) (log z) (- (log z) z))

simplify224.0ms (2.1%)

Memory

-36.0MiB live, 409.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 346×	`lower-fma.f64`
9 346×	`lower-fma.f32`
4 380×	`lower-*.f64`
4 380×	`lower-*.f32`
4 224×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	428	8273
1	1323	7489
2	4496	7213
0	8510	6601

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

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

rewrite247.0ms (2.3%)

Memory

-0.4MiB live, 281.5MiB allocated

Rules

4 240×	`lower-/.f32`
4 228×	`lower-/.f64`
4 216×	`lower-*.f32`
4 210×	`lower-*.f64`
3 120×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	298
0	68	290
1	292	280
2	2207	280
0	8131	271

Stop Event

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

Counts

23 → 640

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 z)) z) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (neg.f64 (log.f64 z))) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) #s(literal 1 binary64)) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 (log.f64 z)) z) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (neg.f64 (log.f64 z))) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (/.f64 (neg.f64 (log.f64 z)) z) (expm1.f64 (neg.f64 (log.f64 z)))) (.f64 (*.f64 (/.f64 (log.f64 z) z) #s(literal 1 binary64)) (expm1.f64 (neg.f64 (log.f64 z))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) #s(literal 1 binary64)) z) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 z)) z) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (neg.f64 (log.f64 z))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 (/.f64 (neg.f64 (log.f64 z)) z) (expm1.f64 (neg.f64 (log.f64 z)))) (.f64 (.f64 (/.f64 (log.f64 z) z) #s(literal 1 binary64)) (expm1.f64 (neg.f64 (log.f64 z))))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 (log.f64 z)) z) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (neg.f64 (log.f64 z))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (log.f64 z) z) #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (/.f64 (log.f64 z) z) #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (neg.f64 (log.f64 z)) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (expm1.f64 (neg.f64 (log.f64 z))) (*.f64 (/.f64 (log.f64 z) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (log.f64 z) z) #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (log.f64 z) z) #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 (log.f64 z) z) #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 z)) z) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (neg.f64 (log.f64 z))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) #s(literal 1 binary64)) z) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 (log.f64 z)) z) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (neg.f64 (log.f64 z))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (/.f64 (neg.f64 (log.f64 z)) z) (expm1.f64 (neg.f64 (log.f64 z)))) (.f64 (.f64 (/.f64 (log.f64 z) z) #s(literal 1 binary64)) (expm1.f64 (neg.f64 (log.f64 z))))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (neg.f64 (log.f64 z))) (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 z (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))))) (neg.f64 (.f64 z (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (neg.f64 (log.f64 z))) (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) (.f64 z (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64))))) (neg.f64 (.f64 z (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) z (.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (log.f64 z)))))) (neg.f64 (.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) z)))
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64)) z (.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) (neg.f64 (neg.f64 (log.f64 z)))))) (neg.f64 (.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) z)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 z)) z) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) #s(literal 1 binary64)) z) #s(literal -1 binary64))) (.f64 (-.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) #s(literal 1 binary64)) z) #s(literal -1 binary64)) (pow.f64 (expm1.f64 (neg.f64 (log.f64 z))) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) #s(literal 1 binary64)) z) #s(literal -1 binary64)) (-.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) #s(literal 1 binary64)) z) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) z) (.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (log.f64 z)))) (*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) z))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 z)) (.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 z))) (*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 z)))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64))) z) (.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (log.f64 z)))) (*.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))) z))
(/.f64 (-.f64 (.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 z)) (.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))) (log.f64 z))) (*.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 z)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) z) (.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 z)))) (*.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) z))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 z)) (.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 z))) (*.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 z)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) z) (.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 z)))) (*.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) z))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 z)) (.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 z))) (*.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 z)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64)) z) (.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (neg.f64 (log.f64 z)))) (*.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) z))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64)) (neg.f64 z)) (.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (log.f64 z))) (*.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (neg.f64 z)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64)) z) (.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) (neg.f64 (log.f64 z)))) (*.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) z))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64)) (neg.f64 z)) (.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) (log.f64 z))) (*.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) (neg.f64 z)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) z) (.f64 (/.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (log.f64 z)))) (*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) z))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) (.f64 (/.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 z))) (*.f64 (/.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 z)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) z) (.f64 (/.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (log.f64 z)))) (*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64))) z))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) (.f64 (/.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 z))) (*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 z)))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (log.f64 z))) (neg.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 z) (neg.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))))) (*.f64 (neg.f64 z) (neg.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (log.f64 z))) (neg.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))) (.f64 (neg.f64 z) (neg.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64))))) (*.f64 (neg.f64 z) (neg.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))))))
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(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal -3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 z)))
(expm1.f64 (neg.f64 (log.f64 z)))
(-.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(-.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 z))
(*.f64 (log.f64 z) #s(literal 1 binary64))
(log.f64 z)
#s(approx (- (log z) z) (log.f64 z))

eval182.0ms (1.7%)

Memory: 43.1MiB live, 311.7MiB allocated
Compiler: Compiled 27 170 to 3 227 computations (88.1% saved)

prune81.0ms (0.8%)

Memory

-24.8MiB live, 135.7MiB allocated

Pruning

27 alts after pruning (16 fresh and 11 done)

	Pruned	Kept	Total
New	1 237	2	1 239
Fresh	0	14	14
Picked	0	5	5
Done	0	6	6
Total	1 237	27	1 264

Accuracy

100.0%

Counts

1 264 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
	54.1%	(fma.f64 (sqrt.f64 (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))) (sqrt.f64 (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))) (*.f64 x #s(literal 1/2 binary64)))
✓	99.8%	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z)) y (.f64 #s(literal 1/2 binary64) x))
✓	99.8%	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x))
	99.8%	(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (*.f64 #s(literal 1/2 binary64) x))
✓	79.8%	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
	51.4%	(fma.f64 #s(approx (- (+ (log z) 1) z) #s(approx (* (+ (* (neg (log z)) (/ -1 z)) (- (exp (neg (log z))) 1)) z) (log.f64 z))) y (*.f64 #s(literal 1/2 binary64) x))
✓	22.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))))
	36.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
✓	36.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) y) z)))
	36.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))
	56.1%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
✓	99.9%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)))
	78.9%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y)))
	77.6%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z)) y) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))
✓	99.8%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y)))
	90.4%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) #s(approx (+ (* (- (log z) z) y) y) (*.f64 (-.f64 (/.f64 (fma.f64 (log.f64 z) y y) z) y) z))))
	83.3%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) x) y #s(literal 1/2 binary64)) x))
	25.6%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))
✓	36.3%	#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (neg.f64 z) y))
✓	65.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)))
	21.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓	46.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
✓	22.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)))
	21.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (/.f64 (*.f64 (fma.f64 (log.f64 z) (log.f64 z) #s(literal -1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64)))))
	21.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (+.f64 (*.f64 (log.f64 z) y) y)))
	60.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (*.f64 (fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/2 binary64)) x)))

Compiler

Compiled 1 036 to 493 computations (52.4% saved)

regimes106.0ms (1%)

Memory

5.2MiB live, 177.5MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#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)))) (*.f64 (neg.f64 z) y))
#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (neg.f64 z) y))
(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) y) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (+.f64 (*.f64 (log.f64 z) y) y)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
(fma.f64 #s(approx (- (+ (log z) 1) z) #s(approx (* (+ (* (neg (log z)) (/ -1 z)) (- (exp (neg (log z))) 1)) z) (log.f64 z))) y (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 (*.f64 y (log.f64 z)) y)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)))
#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)))
#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y)))
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (*.f64 (fma.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1/2 binary64)) x)))
#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) x) y #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))))
#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) #s(approx (+ (* (- (log z) z) y) y) (*.f64 (-.f64 (/.f64 (fma.f64 (log.f64 z) y y) z) y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (*.f64 (fma.f64 (log.f64 z) (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1/2 binary64))) x)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (*.f64 (-.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 z) y y) z)) y) z))
(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (-.f64 (+.f64 (.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z)) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))) (sqrt.f64 (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (/.f64 (*.f64 (fma.f64 (log.f64 z) (log.f64 z) #s(literal -1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64)))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (log.f64 z) (log.f64 z) #s(literal -1 binary64)) y) (-.f64 (log.f64 z) #s(literal 1 binary64)))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
(fma.f64 #s(approx (- (+ (log z) 1) z) (.f64 (fma.f64 (neg.f64 (log.f64 z)) (/.f64 #s(literal -1 binary64) z) (expm1.f64 (neg.f64 (log.f64 z)))) z)) y (.f64 #s(literal 1/2 binary64) x))
#s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z)) y) (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) z)))))
#s(approx (* (- (pow (* (- (+ (log z) 1) z) y) 2) (pow (* 1/2 x) 2)) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* -1/2 x)))) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (.f64 (*.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) y) y)) (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (log.f64 z) y y))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) y))))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal -1/2 binary64) x))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))) (/.f64 (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))))
(fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (-.f64 z (log.f64 z)))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (-.f64 z (log.f64 z)))))))

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

Calls

7 calls:

19.0ms	y
16.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
16.0ms	(*.f64 x #s(literal 1/2 binary64))
14.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
13.0ms	(+.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 32 to 40 computations (-25% saved)

regimes51.0ms (0.5%)

Memory

-9.7MiB live, 104.4MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

7 calls:

9.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
8.0ms	x
7.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
7.0ms	(*.f64 x #s(literal 1/2 binary64))
6.0ms	(*.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 32 to 40 computations (-25% saved)

regimes46.0ms (0.4%)

Memory

15.5MiB live, 92.8MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

10.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
7.0ms	z
6.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
6.0ms	(*.f64 x #s(literal 1/2 binary64))
5.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Results

Accuracy	Segments	Branch
90.7%	3	`x`
89.9%	3	`y`
99.3%	2	`z`
84.0%	3	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
90.7%	3	`(*.f64 x #s(literal 1/2 binary64))`
91.5%	4	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
99.3%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes46.0ms (0.4%)

Memory

0.9MiB live, 37.9MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

29.0ms	z
5.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
5.0ms	x
5.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
90.7%	3	`x`
90.7%	3	`(*.f64 x #s(literal 1/2 binary64))`
85.0%	2	`z`
85.0%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes64.0ms (0.6%)

Memory

-7.8MiB live, 67.2MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

7 calls:

31.0ms	x
11.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
5.0ms	(*.f64 x #s(literal 1/2 binary64))
4.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
4.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Results

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

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes16.0ms (0.1%)

Memory

-1.2MiB live, 35.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#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)))) (*.f64 (neg.f64 z) y))

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

Outputs

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

#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)))) (*.f64 (neg.f64 z) y))

Calls

7 calls:

4.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
2.0ms	(*.f64 x #s(literal 1/2 binary64))
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
57.6%	3	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
68.4%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
63.7%	3	`x`
63.7%	3	`(*.f64 x #s(literal 1/2 binary64))`
62.0%	3	`y`
64.4%	2	`z`
64.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes10.0ms (0.1%)

Memory

27.2MiB live, 27.2MiB 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 x #s(literal 1/2 binary64)))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
46.1%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
46.1%	1	`y`
46.1%	1	`x`
46.1%	1	`(*.f64 x #s(literal 1/2 binary64))`
46.1%	1	`z`
46.1%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
46.1%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-156508435.16118744	-696.6990666750223

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.065393476620102e-85	9.068813698697954e-67
0.0ms	-1.1518789820277379e+23	-2.192570847475469e+22

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.692774007478781e+114	1.7880461930865924e+116
0.0ms	-6.3203071430361384e+125	-1.6887434970492593e+124

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify30.0ms (0.3%)

Memory

-7.5MiB live, 65.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	256
1	78	256
2	89	256
3	96	256
4	99	256
5	100	256

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -100000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y))) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -99999999999999991611392 binary64)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 546812681195753/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (neg.f64 z) y)) (if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 5000000000000000077797080647334215121341006984605307166848852902154168905823778516324926949575237238381031404339200 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)))) (*.f64 (neg.f64 z) y))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))

Outputs
(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) y (*.f64 x #s(literal 1/2 binary64)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -100000000 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y))) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -99999999999999991611392 binary64)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 546812681195753/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -99999999999999991611392 binary64)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 x #s(literal 1/2 binary64))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 546812681195753/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 x #s(literal 1/2 binary64)))
(if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (neg.f64 z) y)) (if (<=.f64 (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))) #s(literal 5000000000000000077797080647334215121341006984605307166848852902154168905823778516324926949575237238381031404339200 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)))) (*.f64 (neg.f64 z) y))))
(if (<=.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) y) #s(literal -499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (neg.f64 z) y)) (if (<=.f64 (.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) y) #s(literal 5000000000000000077797080647334215121341006984605307166848852902154168905823778516324926949575237238381031404339200 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)))) (*.f64 (neg.f64 z) y))))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))

soundness920.0ms (8.6%)

Memory

8.5MiB live, 719.9MiB allocated

Rules

9 802×	`lower-fma.f64`
9 802×	`lower-fma.f32`
9 472×	`lower-fma.f64`
9 472×	`lower-fma.f32`
9 164×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	717	9323
1	2351	8740
0	8452	7969
0	421	6464
1	1303	5940
2	4374	5815
0	8216	5274
0	82	946
1	256	789
2	764	786
3	2720	753
4	6727	750
0	8113	672
0	11	31
0	17	31
1	70	31
2	596	31
0	8472	30

Stop Event

1×	fuel
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 340 to 169 computations (50.3% saved)

preprocess104.0ms (1%)

Memory: 4.3MiB live, 81.3MiB allocated
Compiler: Compiled 316 to 134 computations (57.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample1.4s (13.1%)

explain166.0ms (1.6%)

preprocess1.2s (11.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify968.0ms (9.1%)

localize29.0ms (0.3%)

series111.0ms (1%)

simplify142.0ms (1.3%)

rewrite193.0ms (1.8%)

eval40.0ms (0.4%)

prune22.0ms (0.2%)

simplify185.0ms (1.7%)

localize114.0ms (1.1%)

series171.0ms (1.6%)

simplify269.0ms (2.5%)

rewrite480.0ms (4.5%)

eval551.0ms (5.2%)

prune72.0ms (0.7%)

simplify258.0ms (2.4%)

localize144.0ms (1.3%)

series113.0ms (1.1%)

simplify258.0ms (2.4%)

rewrite267.0ms (2.5%)

eval484.0ms (4.5%)

prune277.0ms (2.6%)

simplify447.0ms (4.2%)

localize85.0ms (0.8%)

series84.0ms (0.8%)

simplify224.0ms (2.1%)

rewrite247.0ms (2.3%)

eval182.0ms (1.7%)

prune81.0ms (0.8%)

regimes106.0ms (1%)

regimes51.0ms (0.5%)

regimes46.0ms (0.4%)

regimes46.0ms (0.4%)

regimes64.0ms (0.6%)

regimes16.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify30.0ms (0.3%)

soundness920.0ms (8.6%)

preprocess104.0ms (1%)

end0.0ms (0%)

Profiling