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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)

sample1.3s (13.4%)

Memory

26.8MiB live, 1 169.1MiB allocated

Samples

974.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 512.0ms

ival-sub: 186.0ms (36.3% of total)

ival-mult: 115.0ms (22.5% of total)

ival-log: 102.0ms (19.9% of total)

ival-add: 91.0ms (17.8% of total)

exact: 8.0ms (1.6% of total)

ival-true: 7.0ms (1.4% of total)

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

Bogosity

explain2.0s (19.8%)

Memory

-26.5MiB live, 212.0MiB 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

42.0ms

512×

valid

Compiler

Compiled 94 to 37 computations (60.6% saved)

Precisions

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

ival-log: 7.0ms (28.6% of total)

ival-mult: 7.0ms (28.6% of total)

ival-sub: 6.0ms (24.5% of total)

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

exact: 1.0ms (4.1% of total)

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

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

preprocess285.0ms (2.9%)

Memory

26.8MiB live, 106.4MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify60.0ms (0.6%)

Memory

-0.7MiB live, 37.5MiB 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)

localize49.0ms (0.5%)

Memory

-17.6MiB live, 65.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 z)
accuracy	0.00390625	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
accuracy	0.01953125	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
accuracy	0.1640625	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Samples

23.0ms

256×

valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-log: 5.0ms (33.4% of total)

ival-add: 4.0ms (26.7% of total)

ival-mult: 3.0ms (20% of total)

ival-sub: 1.0ms (6.7% of total)

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

exact: 0.0ms (0% of total)

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

series103.0ms (1%)

Memory

8.4MiB live, 114.8MiB 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
30.0ms	z	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
25.0ms	y	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
17.0ms	z	@	-inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
7.0ms	x	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
7.0ms	z	@	inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))

simplify123.0ms (1.2%)

Memory

-6.2MiB live, 155.1MiB 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))

rewrite150.0ms (1.5%)

Memory

3.1MiB live, 157.6MiB 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 (pow.f64 (.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y))))))
(.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))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (pow.f64 (*.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y) #s(literal 2 binary64))))
(/.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 (+.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 (.f64 #s(literal 1/2 binary64) x) y) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)) #s(literal 2 binary64))))
(/.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))))
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(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) (log.f64 z))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 z))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (log.f64 z))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 z))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) (log.f64 z))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) (log.f64 z))
(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)

eval55.0ms (0.6%)

Memory: -2.1MiB live, 78.4MiB allocated
Compiler: Compiled 8 290 to 917 computations (88.9% saved)

prune14.0ms (0.1%)

Memory

35.4MiB live, 35.4MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	333	13	346
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	334	13	347

Accuracy

100.0%

Counts

347 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
	99.5%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
▶	99.9%	(fma.f64 (log.f64 z) y (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(literal 1/2 binary64) x)))
	83.9%	(+.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))))
	67.7%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) y))))
	99.9%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 y (.f64 (fma.f64 #s(literal -1 binary64) z (log.f64 z)) y)))
	75.7%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
▶	59.9%	#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)))
	63.9%	#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)))
	36.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 z) y))
▶	40.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 324 to 266 computations (17.9% saved)

simplify74.0ms (0.7%)

Memory

-16.4MiB live, 60.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 920×	`lower-fma.f32`
1 912×	`lower-fma.f64`
480×	`lower-*.f32`
476×	`lower-*.f64`
432×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	172
0	44	166
1	78	163
2	113	163
3	206	163
4	383	163
5	654	163
6	1066	163
7	1526	163
8	1877	163
9	1986	163
10	2018	163
11	2020	163
12	2020	163
0	2020	158

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize76.0ms (0.8%)

Memory

7.2MiB live, 91.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
accuracy	0.01171875	(+.f64 (log.f64 z) #s(literal 1 binary64))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))
accuracy	0.23828125	(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))
accuracy	0	(log.f64 z)
accuracy	0.0078125	(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
accuracy	0.01171875	(+.f64 (log.f64 z) #s(literal 1 binary64))
accuracy	0.0703125	(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	0.01171875	(-.f64 (log.f64 z) z)
accuracy	0.16015625	(fma.f64 (-.f64 (log.f64 z) z) y y)
accuracy	25.62203762250813	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	37.91155892859544	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(log.f64 z)
accuracy	0.0546875	(fma.f64 (log.f64 z) y (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(literal 1/2 binary64) x)))

Samples

59.0ms

256×

valid

Compiler

Compiled 167 to 28 computations (83.2% saved)

Precisions

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

ival-log: 11.0ms (28.7% of total)

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

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

ival-div: 5.0ms (13% of total)

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

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

exact: 0.0ms (0% of total)

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

series68.0ms (0.7%)

Memory

-13.0MiB live, 104.3MiB allocated

Counts

16 → 360

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	y	@	0	((+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (log z) (+ (* (- 1 z) y) (* 1/2 x)) (- 1 z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (/ y (/ 1 (- (+ (log z) 1) z))) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (/ 1 (- (+ (log z) 1) z)) (* 1/2 x))
9.0ms	z	@	0	((+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (log z) (+ (* (- 1 z) y) (* 1/2 x)) (- 1 z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (/ y (/ 1 (- (+ (log z) 1) z))) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (/ 1 (- (+ (log z) 1) z)) (* 1/2 x))
8.0ms	z	@	-inf	((+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (log z) (+ (* (- 1 z) y) (* 1/2 x)) (- 1 z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (/ y (/ 1 (- (+ (log z) 1) z))) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (/ 1 (- (+ (log z) 1) z)) (* 1/2 x))
8.0ms	z	@	inf	((+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (log z) (+ (* (- 1 z) y) (* 1/2 x)) (- 1 z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (/ y (/ 1 (- (+ (log z) 1) z))) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (/ 1 (- (+ (log z) 1) z)) (* 1/2 x))
7.0ms	y	@	-inf	((+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (log z) (+ (* (- 1 z) y) (* 1/2 x)) (- 1 z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (- (+ (log z) 1) z) (+ (log z) 1) (/ y (/ 1 (- (+ (log z) 1) z))) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (/ 1 (- (+ (log z) 1) z)) (* 1/2 x))

simplify175.0ms (1.8%)

Memory

7.8MiB live, 198.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 754×	`lower-fma.f64`
11 754×	`lower-fma.f32`
4 444×	`lower-*.f64`
4 444×	`lower-*.f32`
3 218×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	4228
1	773	3734
2	2313	3620
3	7939	3590
0	9392	3259

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

rewrite216.0ms (2.2%)

Memory

26.2MiB live, 180.2MiB allocated

Rules

5 058×	`lower-fma.f32`
5 050×	`lower-fma.f64`
3 920×	`lower-*.f32`
3 920×	`lower-/.f32`
3 916×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	131
0	44	125
1	227	122
2	1841	122
0	8103	117

Stop Event

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

Counts

16 → 793

Calls

Call 1

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

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

eval249.0ms (2.5%)

Memory: 26.3MiB live, 367.1MiB allocated
Compiler: Compiled 31 914 to 2 571 computations (91.9% saved)

prune59.0ms (0.6%)

Memory

-27.6MiB live, 136.6MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1 405	12	1 417
Fresh	7	1	8
Picked	2	3	5
Done	0	0	0
Total	1 414	16	1 430

Accuracy

100.0%

Counts

1 430 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (log.f64 z) y (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(literal 1/2 binary64) x)))
	59.9%	(fma.f64 (log.f64 z) y #s(approx (+ (* (- 1 z) y) (* 1/2 x)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
▶	47.4%	(fma.f64 (log.f64 z) y #s(approx (+ (* (- 1 z) y) (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
	75.7%	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
▶	99.9%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))
▶	75.6%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y #s(approx (/ 1 (- (+ (log z) 1) z)) (/.f64 #s(literal -1 binary64) z))))
▶	90.6%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1/2 binary64)) x))
▶	36.7%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (neg.f64 z) y))
	50.2%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 z z)) (+.f64 (log.f64 z) z)) y y))
✓	59.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
	35.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y))
	25.2%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))
	63.9%	#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)))
	59.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))))
	59.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y))
✓	40.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 276 to 253 computations (8.3% saved)

simplify120.0ms (1.2%)

Memory

-9.1MiB live, 150.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	(fma.f64 (/.f64 y x) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1/2 binary64)) x))
cost-diff	832	(*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1/2 binary64)) x)
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (- 1 z) y) (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(log.f64 z)
cost-diff	0	(fma.f64 (log.f64 z) y #s(approx (+ (* (- 1 z) y) (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (/ 1 (- (+ (log z) 1) z)) (/.f64 #s(literal -1 binary64) z))
cost-diff	0	(/.f64 y #s(approx (/ 1 (- (+ (log z) 1) z)) (/.f64 #s(literal -1 binary64) z)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	128	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y #s(approx (/ 1 (- (+ (log z) 1) z)) (/.f64 #s(literal -1 binary64) z))))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (neg.f64 z) y))
cost-diff	0	(log.f64 z)
cost-diff	0	(-.f64 (log.f64 z) z)
cost-diff	0	(fma.f64 (-.f64 (log.f64 z) z) y y)
cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))

Rules

9 708×	`lower-fma.f32`
9 700×	`lower-fma.f64`
3 430×	`lower-*.f32`
3 424×	`lower-*.f64`
1 504×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	216
0	55	213
1	94	209
2	162	209
3	368	209
4	909	206
5	2068	206
6	5133	206
0	8102	203

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (1.3%)

Memory

-51.9MiB live, 125.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)
accuracy	0.01171875	(+.f64 #s(literal 1 binary64) (log.f64 z))
accuracy	0.131191259768442	(fma.f64 (/.f64 y x) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1/2 binary64))
accuracy	5.994171340991603	(*.f64 (fma.f64 (/.f64 y x) (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) #s(literal 1/2 binary64)) x)
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0	(log.f64 z)
accuracy	0.0546875	(fma.f64 (log.f64 z) y #s(approx (+ (* (- 1 z) y) (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
accuracy	37.67153928937234	#s(approx (+ (* (- 1 z) y) (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.00390625	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y #s(approx (/ 1 (- (+ (log z) 1) z)) (/.f64 #s(literal -1 binary64) z))))
accuracy	0.23828125	(/.f64 y #s(approx (/ 1 (- (+ (log z) 1) z)) (/.f64 #s(literal -1 binary64) z)))
accuracy	33.678333245303314	#s(approx (/ 1 (- (+ (log z) 1) z)) (/.f64 #s(literal -1 binary64) z))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	40.516846317042756	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (neg.f64 z) y))
accuracy	0	(log.f64 z)
accuracy	0.00390625	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))
accuracy	0.01171875	(-.f64 (log.f64 z) z)
accuracy	0.16015625	(fma.f64 (-.f64 (log.f64 z) z) y y)

Samples

110.0ms

256×

valid

Compiler

Compiled 185 to 36 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-add: 36.0ms (53.9% of total)

ival-mult: 14.0ms (21% of total)

ival-div: 7.0ms (10.5% of total)

ival-sub: 5.0ms (7.5% of total)

ival-log: 3.0ms (4.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series130.0ms (1.3%)

Memory

-1.9MiB live, 114.2MiB allocated

Counts

19 → 468

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	((+ (* x 1/2) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (neg z) y) (neg z) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z))) (/ 1 (- (+ (log z) 1) z)) (+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (+ (* (- 1 z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) (/ y x) (+ 1 (log z)) (- (+ 1 (log z)) z))
24.0ms	y	@	0	((+ (* x 1/2) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (neg z) y) (neg z) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z))) (/ 1 (- (+ (log z) 1) z)) (+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (+ (* (- 1 z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) (/ y x) (+ 1 (log z)) (- (+ 1 (log z)) z))
14.0ms	z	@	-inf	((+ (* x 1/2) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (neg z) y) (neg z) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z))) (/ 1 (- (+ (log z) 1) z)) (+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (+ (* (- 1 z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) (/ y x) (+ 1 (log z)) (- (+ 1 (log z)) z))
9.0ms	y	@	-inf	((+ (* x 1/2) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (neg z) y) (neg z) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z))) (/ 1 (- (+ (log z) 1) z)) (+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (+ (* (- 1 z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) (/ y x) (+ 1 (log z)) (- (+ 1 (log z)) z))
8.0ms	z	@	inf	((+ (* x 1/2) (+ (* (- (log z) z) y) y)) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (neg z) y) (neg z) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z))) (/ 1 (- (+ (log z) 1) z)) (+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (+ (* (- 1 z) y) (* 1/2 x)) (* (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) (/ y x) (+ 1 (log z)) (- (+ 1 (log z)) z))

simplify384.0ms (3.9%)

Memory

21.8MiB live, 246.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 188×	`lower-fma.f64`
14 188×	`lower-fma.f32`
4 894×	`lower-*.f64`
4 894×	`lower-*.f32`
4 582×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	318	5599
1	1006	4920
2	2963	4738
0	8294	4327

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

Outputs
(+ 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)
(+ (log z) (* -1 z))
(-.f64 (log.f64 z) z)
(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 (-.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))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.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))
(+ (* -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 (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 (+ 1 (log z)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 z)))
(+ (/ 1 (+ 1 (log z))) (/ z (pow (+ 1 (log z)) 2)))
(+.f64 (/.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 z))))
(+ (* z (+ (/ 1 (pow (+ 1 (log z)) 2)) (/ z (pow (+ 1 (log z)) 3)))) (/ 1 (+ 1 (log z))))
(+.f64 (/.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))) (fma.f64 (/.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64))) z (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 z)))))
(+ (* z (+ (* z (+ (/ 1 (pow (+ 1 (log z)) 3)) (/ z (pow (+ 1 (log z)) 4)))) (/ 1 (pow (+ 1 (log z)) 2)))) (/ 1 (+ 1 (log z))))
(+.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 4 binary64))) z (/.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)))) z (/.f64 z (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 z))))
(+ 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 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) y)
(+ y (+ (* -1 (* y z)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 x #s(literal 1/2 binary64)))
(+ y (+ (* -1 (* y z)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 x #s(literal 1/2 binary64)))
(+ y (+ (* -1 (* y z)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ (* y (+ 1 (log z))) x)))
(*.f64 (+.f64 (/.f64 (fma.f64 (log.f64 z) y y) x) #s(literal 1/2 binary64)) x)
(+ (* -1 (* y z)) (* x (+ 1/2 (/ (* y (+ 1 (log z))) x))))
(fma.f64 (neg.f64 z) y (*.f64 (+.f64 (/.f64 (fma.f64 (log.f64 z) y y) x) #s(literal 1/2 binary64)) x))
(+ (* -1 (* y z)) (* x (+ 1/2 (/ (* y (+ 1 (log z))) x))))
(fma.f64 (neg.f64 z) y (*.f64 (+.f64 (/.f64 (fma.f64 (log.f64 z) y y) x) #s(literal 1/2 binary64)) x))
(+ (* -1 (* y z)) (* x (+ 1/2 (/ (* y (+ 1 (log z))) x))))
(fma.f64 (neg.f64 z) y (*.f64 (+.f64 (/.f64 (fma.f64 (log.f64 z) y y) x) #s(literal 1/2 binary64)) x))
(+ (* 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))
(+ 1/2 (/ (* y (+ 1 (log z))) x))
(+.f64 (/.f64 (fma.f64 (log.f64 z) y y) x) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 (/ (* y z) x)) (/ (* y (+ 1 (log z))) x)))
(fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 (/ (* y z) x)) (/ (* y (+ 1 (log z))) x)))
(fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 (/ (* y z) x)) (/ (* y (+ 1 (log z))) x)))
(fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64))
(+ 1 (log z))
(+.f64 #s(literal 1 binary64) (log.f64 z))
(+ 1 (log z))
(+.f64 #s(literal 1 binary64) (log.f64 z))
(+ 1 (log z))
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1/2
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(fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64))
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(fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64))
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(fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64))
(/ y x)
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(/ y x)
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(/ y x)
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rewrite347.0ms (3.5%)

Memory

-9.8MiB live, 277.0MiB allocated

Rules

5 138×	`lower-fma.f32`
5 130×	`lower-fma.f64`
4 692×	`lower-*.f32`
4 686×	`lower-*.f64`
4 662×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	186
0	55	186
1	275	182
2	2127	182
0	9372	179

Stop Event

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

Counts

19 → 576

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 #s(literal -1/2 binary64) x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (.f64 #s(literal -1/2 binary64) x)) (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x y) (fma.f64 #s(literal 1/2 binary64) x y) (-.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) x y) (.f64 y (-.f64 (log.f64 z) z))))))
(/.f64 (+.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64)) (pow.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) x)) (+.f64 y (.f64 #s(literal 1/2 binary64) x))) (.f64 (.f64 y (-.f64 (log.f64 z) z)) (+.f64 y (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 y (fma.f64 y (-.f64 (log.f64 z) z) (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (-.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 #s(literal 1/2 binary64) x)) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 #s(literal 1/2 binary64) x)) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (.f64 #s(literal -1/2 binary64) x))) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (.f64 #s(literal -1/2 binary64) x)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (.f64 #s(literal -1/2 binary64) x)) (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 y y)) (-.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 #s(literal 1/2 binary64) x)) y))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 #s(literal 1/2 binary64) x)) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) 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 binary64) (-.f64 (log.f64 z) 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 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 #s(literal -1/2 binary64) x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (.f64 #s(literal -1/2 binary64) x)) (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 #s(literal -1/2 binary64) x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (.f64 #s(literal -1/2 binary64) x)) (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 3 binary64)))))
(fma.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (.f64 y y)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (.f64 y (-.f64 (log.f64 z) z))) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 y (-.f64 (log.f64 z) z) (+.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (-.f64 (log.f64 z) z) y (+.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y (-.f64 (log.f64 z) z) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (fma.f64 y (-.f64 (log.f64 z) z) (.f64 #s(literal 1/2 binary64) x)) y)) (/.f64 (.f64 y y) (-.f64 (fma.f64 y (-.f64 (log.f64 z) z) (.f64 #s(literal 1/2 binary64) x)) y)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y))) (/.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (.f64 #s(literal -1/2 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) y (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 y (-.f64 (log.f64 z) z)))
(+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 #s(literal 1/2 binary64) x)) y)
(+.f64 (.f64 y (-.f64 (log.f64 z) z)) (+.f64 y (.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 y (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (-.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)) #s(literal -1 binary64)))
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(-.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 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))) (/.f64 (.f64 z z) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 z #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 z z) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (fma.f64 z (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (log.f64 z) #s(literal 1 binary64)) (/.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 0 binary64)) z)
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)) (/.f64 (*.f64 z z) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 3 binary64)) (fma.f64 z (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) #s(literal 1 binary64)) (/.f64 z #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z)) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)
(-.f64 (log.f64 z) (-.f64 z #s(literal 1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (-.f64 (log.f64 z) z)) #s(literal -1 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) (neg.f64 z))
(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
(+.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (log.f64 z)))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 z) z))
(+.f64 (-.f64 (log.f64 z) z) #s(literal 1 binary64))
(+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z))

eval251.0ms (2.5%)

Memory: 14.4MiB live, 320.9MiB allocated
Compiler: Compiled 23 414 to 3 023 computations (87.1% saved)

prune47.0ms (0.5%)

Memory

16.5MiB live, 142.9MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1 089	9	1 098
Fresh	3	5	8
Picked	2	3	5
Done	1	2	3
Total	1 095	19	1 114

Accuracy

100.0%

Counts

1 114 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.9%	(fma.f64 (log.f64 z) y #s(approx (+ (* (- 1 z) y) (* 1/2 x)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
✓	47.4%	(fma.f64 (log.f64 z) y #s(approx (+ (* (- 1 z) y) (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
	75.7%	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
✓	99.9%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))
	63.9%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))
▶	99.9%	(+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 #s(literal 1/2 binary64) x)) y)
	75.6%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (- (+ (log z) 1) z)) (/.f64 #s(literal -1 binary64) z)) y)))
	90.6%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))
	60.3%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) #s(approx (- (+ 1 (log z)) z) (+.f64 #s(literal 1 binary64) (log.f64 z))) #s(literal 1/2 binary64)) x))
▶	70.5%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) #s(approx (- (+ 1 (log z)) z) (neg.f64 z)) #s(literal 1/2 binary64)) x))
	36.6%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) y))
✓	36.7%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (neg.f64 z) y))
	28.0%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ 1 (log z)) z)) 1/2) (*.f64 (/.f64 (neg.f64 z) x) y)) x))
	43.4%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) #s(approx (* (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) x) (fma.f64 (/.f64 (-.f64 (log.f64 z) z) x) (*.f64 x y) y)))
✓	59.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
▶	35.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y))
▶	25.2%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))
	59.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y))
✓	40.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 321 to 295 computations (8.1% saved)

simplify136.0ms (1.4%)

Memory

-19.9MiB live, 145.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

8 230×	`lower-fma.f32`
8 220×	`lower-fma.f64`
3 316×	`lower-*.f32`
3 310×	`lower-*.f64`
1 862×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	245
0	65	245
1	109	245
2	164	242
3	268	242
4	504	240
5	764	240
6	1692	240
7	4510	240
8	6825	240
0	8148	232

Stop Event

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

Calls

Call 1

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

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

localize156.0ms (1.6%)

Memory

24.1MiB live, 137.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 z)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) z) y)
accuracy	0.0546875	(fma.f64 (log.f64 z) y #s(approx (+ (* (- 1 z) y) (* 1/2 x)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
accuracy	25.739946757243988	#s(approx (+ (* (- 1 z) y) (* 1/2 x)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
accuracy	0	(log.f64 z)
accuracy	0.16015625	(fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y)
accuracy	25.62203762250813	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))
accuracy	29.97791067788416	#s(approx (- (log z) z) (log.f64 z))
accuracy	0	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) #s(approx (- (+ 1 (log z)) z) (neg.f64 z)) #s(literal 1/2 binary64)) x))
accuracy	0.131191259768442	(fma.f64 (/.f64 y x) #s(approx (- (+ 1 (log z)) z) (neg.f64 z)) #s(literal 1/2 binary64))
accuracy	5.994171340991603	(*.f64 (fma.f64 (/.f64 y x) #s(approx (- (+ 1 (log z)) z) (neg.f64 z)) #s(literal 1/2 binary64)) x)
accuracy	33.67267425052028	#s(approx (- (+ 1 (log z)) z) (neg.f64 z))
accuracy	0	(neg.f64 z)
accuracy	0.16015625	(fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y)
accuracy	25.62203762250813	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y))
accuracy	33.669777186684996	#s(approx (- (log z) z) (neg.f64 z))
accuracy	0	(log.f64 z)
accuracy	0.01171875	(-.f64 (log.f64 z) z)
accuracy	0.05859375	(fma.f64 y (-.f64 (log.f64 z) z) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0625	(+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 #s(literal 1/2 binary64) x)) y)

Samples

136.0ms

256×

valid

Compiler

Compiled 182 to 35 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 42.0ms (56.4% of total)

ival-add: 21.0ms (28.2% of total)

ival-sub: 5.0ms (6.7% of total)

ival-log: 4.0ms (5.4% of total)

ival-div: 2.0ms (2.7% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series315.0ms (3.2%)

Memory

-9.6MiB live, 109.3MiB allocated

Counts

19 → 492

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
117.0ms	y	@	inf	((+ (+ (* y (- (log z) z)) (* 1/2 x)) y) (+ (* y (- (log z) z)) (* 1/2 x)) (- (log z) z) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (neg z) (* (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) (/ y x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (+ (* (- 1 z) y) (* 1/2 x)) (* (- 1 z) y) (- (+ 1 (log z)) z))
33.0ms	z	@	inf	((+ (+ (* y (- (log z) z)) (* 1/2 x)) y) (+ (* y (- (log z) z)) (* 1/2 x)) (- (log z) z) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (neg z) (* (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) (/ y x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (+ (* (- 1 z) y) (* 1/2 x)) (* (- 1 z) y) (- (+ 1 (log z)) z))
10.0ms	y	@	0	((+ (+ (* y (- (log z) z)) (* 1/2 x)) y) (+ (* y (- (log z) z)) (* 1/2 x)) (- (log z) z) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (neg z) (* (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) (/ y x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (+ (* (- 1 z) y) (* 1/2 x)) (* (- 1 z) y) (- (+ 1 (log z)) z))
8.0ms	y	@	-inf	((+ (+ (* y (- (log z) z)) (* 1/2 x)) y) (+ (* y (- (log z) z)) (* 1/2 x)) (- (log z) z) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (neg z) (* (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) (/ y x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (+ (* (- 1 z) y) (* 1/2 x)) (* (- 1 z) y) (- (+ 1 (log z)) z))
8.0ms	z	@	-inf	((+ (+ (* y (- (log z) z)) (* 1/2 x)) y) (+ (* y (- (log z) z)) (* 1/2 x)) (- (log z) z) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (neg z) (* (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) x) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) (/ y x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (+ (* (log z) y) (+ (* (- 1 z) y) (* 1/2 x))) (+ (* (- 1 z) y) (* 1/2 x)) (* (- 1 z) y) (- (+ 1 (log z)) z))

simplify241.0ms (2.4%)

Memory

-11.1MiB live, 145.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 950×	`lower-fma.f64`
12 950×	`lower-fma.f32`
4 754×	`lower-*.f64`
4 754×	`lower-*.f32`
2 764×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	5673
1	864	4937
2	2450	4853
3	7200	4799
0	8202	4317

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 491

Calls

Call 1

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

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

rewrite548.0ms (5.5%)

Memory

12.5MiB live, 200.5MiB allocated

Rules

5 910×	`lower-fma.f32`
5 900×	`lower-fma.f64`
4 916×	`lower-*.f32`
4 910×	`lower-*.f64`
4 586×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	218
0	65	218
1	300	218
2	2266	218
0	9728	212

Stop Event

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

Counts

19 → 315

Calls

Call 1

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

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

eval143.0ms (1.4%)

Memory: 19.2MiB live, 303.4MiB allocated
Compiler: Compiled 15 030 to 1 517 computations (89.9% saved)

prune131.0ms (1.3%)

Memory

2.7MiB live, 122.3MiB allocated

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	865	5	870
Fresh	1	8	9
Picked	0	5	5
Done	0	5	5
Total	866	23	889

Accuracy

100.0%

Counts

889 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.9%	(fma.f64 (log.f64 z) y #s(approx (+ (* (- 1 z) y) (* 1/2 x)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
✓	47.4%	(fma.f64 (log.f64 z) y #s(approx (+ (* (- 1 z) y) (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
	75.7%	(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
✓	99.9%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y))
	63.9%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))
✓	99.9%	(+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 #s(literal 1/2 binary64) x)) y)
	75.6%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (- (+ (log z) 1) z)) (/.f64 #s(literal -1 binary64) z)) y)))
	59.9%	(+.f64 #s(approx (+ (* y (- (log z) z)) (* 1/2 x)) (*.f64 (-.f64 (log.f64 z) z) y)) y)
	90.6%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))
	60.2%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 (fma.f64 (/.f64 y x) #s(approx (- (+ 1 (log z)) z) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #s(literal 1/2 binary64)) x))
	60.3%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) #s(approx (- (+ 1 (log z)) z) (+.f64 #s(literal 1 binary64) (log.f64 z))) #s(literal 1/2 binary64)) x))
✓	70.5%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 y x) #s(approx (- (+ 1 (log z)) z) (neg.f64 z)) #s(literal 1/2 binary64)) x))
	70.4%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)) #s(approx (- (+ 1 (log z)) z) (neg.f64 z)) #s(literal 1/2 binary64)) x))
	67.0%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (fma.f64 y (/.f64 #s(approx (- (+ 1 (log z)) z) (neg.f64 z)) x) #s(literal 1/2 binary64)) x))
	36.6%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) y))
✓	36.7%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (neg.f64 z) y))
	28.0%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (.f64 #s(approx (+ ( (/ y x) (- (+ 1 (log z)) z)) 1/2) (*.f64 (/.f64 (neg.f64 z) x) y)) x))
	43.4%	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) #s(approx (* (+ (* (/ y x) (- (+ 1 (log z)) z)) 1/2) x) (fma.f64 (/.f64 (-.f64 (log.f64 z) z) x) (*.f64 x y) y)))
✓	59.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
✓	35.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y))
✓	25.2%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))
	25.2%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (*.f64 #s(approx (- (log z) z) (log.f64 z)) y) y))
✓	40.8%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 680 to 362 computations (46.8% saved)

regimes118.0ms (1.2%)

Memory

5.0MiB live, 233.9MiB allocated

Counts

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

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

Calls

7 calls:

35.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
16.0ms	(*.f64 x #s(literal 1/2 binary64))
14.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
14.0ms	z
13.0ms	y

Results

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

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes139.0ms (1.4%)

Memory

-27.7MiB live, 144.4MiB allocated

Counts

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

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

Calls

7 calls:

47.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
43.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
11.0ms	y
10.0ms	x
9.0ms	(*.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)

regimes64.0ms (0.6%)

Memory

17.8MiB live, 168.9MiB allocated

Counts

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

11.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
10.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
9.0ms	x
9.0ms	z
8.0ms	y

Results

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

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes62.0ms (0.6%)

Memory

19.2MiB live, 137.0MiB allocated

Counts

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

Outputs

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

Calls

7 calls:

14.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
9.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
9.0ms	y
7.0ms	(*.f64 x #s(literal 1/2 binary64))
7.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))

Results

Accuracy	Segments	Branch
84.4%	3	`x`
83.9%	3	`y`
98.8%	2	`z`
80.5%	3	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
84.4%	3	`(*.f64 x #s(literal 1/2 binary64))`
84.9%	4	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
98.7%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes35.0ms (0.4%)

Memory

-10.8MiB live, 64.7MiB allocated

Counts

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

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:

13.0ms	(*.f64 x #s(literal 1/2 binary64))
8.0ms	z
6.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
6.0ms	x

Results

Accuracy	Segments	Branch
84.4%	3	`x`
84.4%	3	`(*.f64 x #s(literal 1/2 binary64))`
82.2%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
82.3%	2	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes49.0ms (0.5%)

Memory

2.2MiB live, 108.0MiB allocated

Counts

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

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

Calls

7 calls:

10.0ms	x
9.0ms	z
7.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
5.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
5.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
75.7%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
75.7%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
75.7%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
75.7%	1	`z`
77.3%	2	`y`
75.7%	1	`x`
75.7%	1	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes28.0ms (0.3%)

Memory

-2.9MiB live, 53.1MiB allocated

Counts

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

Calls

3 calls:

17.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
5.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
75.7%	1	`z`
75.7%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
75.7%	1	`y`

Compiler

Compiled 10 to 14 computations (-40% saved)

regimes20.0ms (0.2%)

Memory

19.3MiB live, 58.4MiB allocated

Counts

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

Outputs
#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)))) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y))

Calls

7 calls:

6.0ms	(+.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	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
2.0ms	z

Results

Accuracy	Segments	Branch
55.1%	3	`x`
54.1%	3	`y`
53.4%	3	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
55.1%	3	`(*.f64 x #s(literal 1/2 binary64))`
65.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
65.4%	2	`z`
59.8%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes4.0ms (0%)

Memory

-32.8MiB live, 5.5MiB allocated

Counts

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
65.4%	2	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

32.0MiB live, 32.0MiB 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:

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

Results

Accuracy	Segments	Branch
40.8%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
40.8%	1	`y`
40.8%	1	`x`
40.8%	1	`(*.f64 x #s(literal 1/2 binary64))`
40.8%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
40.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
40.8%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch14.0ms (0.1%)

Memory

-4.4MiB live, 33.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0013552704607636937	0.007466492362996562

Samples

8.0ms

96×

valid

Compiler

Compiled 117 to 125 computations (-6.8% saved)

Precisions

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

ival-mult: 3.0ms (52.2% of total)

ival-log: 1.0ms (17.4% of total)

ival-add: 1.0ms (17.4% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2020496453387207e-91	2.156322438637896e-91
0.0ms	-4.016003629375557e-97	-1.2231357221775029e-101

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch36.0ms (0.4%)

Memory

-6.9MiB live, 30.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	2.5992235593748513e+264	3.5568959205397237e+270

Samples

28.0ms

144×

valid

Compiler

Compiled 150 to 170 computations (-13.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-log: 21.0ms (84.7% of total)

ival-mult: 2.0ms (8.1% of total)

ival-sub: 1.0ms (4% of total)

ival-add: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Memory

6.8MiB live, 45.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	17590976.580221947	3.3551981415790785e+20

Samples

10.0ms

160×

valid

Compiler

Compiled 125 to 167 computations (-33.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-log: 2.0ms (30.6% of total)

ival-add: 2.0ms (30.6% of total)

ival-mult: 2.0ms (30.6% of total)

ival-sub: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	17590976.580221947	3.3551981415790785e+20

Compiler

Compiled 105 to 157 computations (-49.5% saved)

simplify28.0ms (0.3%)

Memory

-11.6MiB live, 64.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
12×	`+-commutative-binary64-+.f64`
10×	`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	58	296
1	73	296
2	83	296
3	90	296
4	93	296
5	94	296

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (log.f64 z) y (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 #s(literal 1/2 binary64) x)) y)
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 z) z) y y)))
(if (<=.f64 z #s(literal 2132904783522667/288230376151711744 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 #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 -7695704335233297/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 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 7339195571168229/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 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 y #s(literal 63999999999999998300046390666254547576161187911860720037997605887177341697564458028418841886519596096969546727871763788170612773377481404225174383315784669647879847261396102852738514675940437070057526330082752268664992780018846073367706930786122463579102265092165599232 binary64)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y)))
(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 z #s(literal 2050000000 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)))) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y)))
(if (<=.f64 z #s(literal 2050000000 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 (log.f64 z) y (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (log.f64 z) y (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 #s(literal 1/2 binary64) x)) y)
(+.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 x #s(literal 1/2 binary64))) 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)))
(if (<=.f64 z #s(literal 2132904783522667/288230376151711744 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 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 z #s(literal 2132904783522667/288230376151711744 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 #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 -7695704335233297/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 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 7339195571168229/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 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 -7695704335233297/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 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 7339195571168229/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 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)))))
(if (<=.f64 y #s(literal 63999999999999998300046390666254547576161187911860720037997605887177341697564458028418841886519596096969546727871763788170612773377481404225174383315784669647879847261396102852738514675940437070057526330082752268664992780018846073367706930786122463579102265092165599232 binary64)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y)))
(if (<=.f64 y #s(literal 63999999999999998300046390666254547576161187911860720037997605887177341697564458028418841886519596096969546727871763788170612773377481404225174383315784669647879847261396102852738514675940437070057526330082752268664992780018846073367706930786122463579102265092165599232 binary64)) (fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (.f64 x #s(literal 1/2 binary64))) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y)))
(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(approx (- (+ (log z) 1) z) (neg.f64 z)) y (*.f64 x #s(literal 1/2 binary64)))
(if (<=.f64 z #s(literal 2050000000 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)))) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y)))
(if (<=.f64 z #s(literal 2050000000 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)))

soundness1.1s (10.7%)

Memory

17.6MiB live, 738.5MiB allocated

Rules

11 754×	`lower-fma.f64`
11 754×	`lower-fma.f32`
9 802×	`lower-fma.f64`
9 802×	`lower-fma.f32`
6 726×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	4228
1	773	3734
2	2313	3620
3	7939	3590
0	9392	3259
0	27	131
0	44	125
1	227	122
2	1841	122
0	8103	117
0	36	186
0	55	186
1	275	182
2	2127	182
0	9372	179
0	11	31
0	17	31
1	70	31
2	596	31
0	8472	30
0	82	946
1	256	789
2	764	786
3	2720	753
4	6727	750
0	8113	672

Stop Event

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

Compiler

Compiled 536 to 262 computations (51.1% saved)

preprocess114.0ms (1.1%)

Memory: 6.0MiB live, 158.5MiB allocated
Compiler: Compiled 348 to 138 computations (60.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample1.3s (13.4%)

explain2.0s (19.8%)

preprocess285.0ms (2.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify60.0ms (0.6%)

localize49.0ms (0.5%)

series103.0ms (1%)

simplify123.0ms (1.2%)

rewrite150.0ms (1.5%)

eval55.0ms (0.6%)

prune14.0ms (0.1%)

simplify74.0ms (0.7%)

localize76.0ms (0.8%)

series68.0ms (0.7%)

simplify175.0ms (1.8%)

rewrite216.0ms (2.2%)

eval249.0ms (2.5%)

prune59.0ms (0.6%)

simplify120.0ms (1.2%)

localize133.0ms (1.3%)

series130.0ms (1.3%)

simplify384.0ms (3.9%)

rewrite347.0ms (3.5%)

eval251.0ms (2.5%)

prune47.0ms (0.5%)

simplify136.0ms (1.4%)

localize156.0ms (1.6%)

series315.0ms (3.2%)

simplify241.0ms (2.4%)

rewrite548.0ms (5.5%)

eval143.0ms (1.4%)

prune131.0ms (1.3%)

regimes118.0ms (1.2%)

regimes139.0ms (1.4%)

regimes64.0ms (0.6%)

regimes62.0ms (0.6%)

regimes35.0ms (0.4%)

regimes49.0ms (0.5%)

regimes28.0ms (0.3%)

regimes20.0ms (0.2%)

regimes4.0ms (0%)

regimes10.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch36.0ms (0.4%)

bsearch27.0ms (0.3%)

bsearch1.0ms (0%)

simplify28.0ms (0.3%)

soundness1.1s (10.7%)

preprocess114.0ms (1.1%)

end0.0ms (0%)

Profiling