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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample3.3s (30.7%)

Memory

20.2MiB live, 1 281.9MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 708.0ms

ival-log: 369.0ms (52.1% of total)

ival-mult: 142.0ms (20% of total)

ival-sub: 105.0ms (14.8% of total)

ival-add: 74.0ms (10.4% of total)

exact: 8.0ms (1.1% of total)

ival-true: 7.0ms (1% of total)

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

Bogosity

explain113.0ms (1%)

Memory

3.6MiB live, 239.3MiB 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

44.0ms

512×

valid

Compiler

Compiled 94 to 37 computations (60.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 10.0ms (37.1% of total)

ival-log: 7.0ms (26% of total)

ival-sub: 5.0ms (18.5% of total)

ival-add: 4.0ms (14.8% of total)

exact: 1.0ms (3.7% of total)

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

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

preprocess311.0ms (2.9%)

Memory

18.4MiB live, 91.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify305.0ms (2.8%)

Memory

-52.2MiB live, 59.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize32.0ms (0.3%)

Memory

20.8MiB live, 62.4MiB 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	0.015625	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
accuracy	0.1484375	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))

Samples

20.0ms

256×

valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

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

ival-mult: 5.0ms (42.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series93.0ms (0.9%)

Memory

17.7MiB live, 130.6MiB 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
25.0ms	z	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
22.0ms	y	@	0	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
19.0ms	z	@	-inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
7.0ms	y	@	inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))
6.0ms	z	@	inf	((+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* y (+ (- 1 z) (log z))) (* x 1/2) (+ (- 1 z) (log z)) (log z))

simplify123.0ms (1.1%)

Memory

-7.1MiB live, 112.6MiB 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))

rewrite153.0ms (1.4%)

Memory

10.7MiB live, 162.0MiB 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
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eval53.0ms (0.5%)

Memory: -7.8MiB live, 74.0MiB allocated
Compiler: Compiled 8 290 to 917 computations (88.9% saved)

prune18.0ms (0.2%)

Memory

1.4MiB live, 39.9MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

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

Accuracy

100.0%

Counts

347 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.9%	(fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x))
	62.4%	(fma.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) (.f64 #s(literal 1/2 binary64) x))
▶	99.8%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))))
▶	62.4%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
	68.3%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) y) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (-.f64 z (log.f64 z)))))
	85.0%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) (-.f64 z (log.f64 z)))))
	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))))
	85.0%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) y))))
	71.0%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z (log.f64 z)) #s(literal 2 binary64))) (-.f64 z (log.f64 z)))))))
	73.2%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
	86.9%	(.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))))
	60.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
▶	67.5%	#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)))
	34.9%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 z) y))
▶	41.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 596 to 416 computations (30.2% saved)

simplify121.0ms (1.1%)

Memory

16.8MiB live, 131.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))
cost-diff	6080	(*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y)
cost-diff	20544	(fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	128	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))))
cost-diff	21184	(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
cost-diff	0	(log.f64 z)
cost-diff	0	(fma.f64 (log.f64 z) y y)
cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(log.f64 z)
cost-diff	0	(fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	320	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))

Rules

10 514×	`lower-fma.f32`
10 504×	`lower-fma.f64`
3 358×	`lower-*.f32`
3 346×	`lower-*.f64`
2 114×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	289
0	61	262
1	114	262
2	249	260
3	918	245
4	4016	245
0	8148	234

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (1.3%)

Memory

-34.8MiB live, 131.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64))
accuracy	0.2421875	(*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y)
accuracy	0.5185737793053261	(pow.f64 (log.f64 z) #s(literal 2 binary64))
accuracy	8.200177705817232	(fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x))
accuracy	0.20703125	(*.f64 (log.f64 z) y)
accuracy	0.25228500976844204	(pow.f64 (*.f64 (log.f64 z) y) #s(literal 2 binary64))
accuracy	14.19524025405722	(-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64)))
accuracy	28.54625870325644	(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
accuracy	0	(log.f64 z)
accuracy	0.01171875	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))
accuracy	0.24609375	(fma.f64 (log.f64 z) y y)
accuracy	20.729336239493286	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)))
accuracy	0	(*.f64 x #s(literal 1/2 binary64))
accuracy	37.56741417631947	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(log.f64 z)
accuracy	0.06640625	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x)))
accuracy	0.09765625	(fma.f64 (log.f64 z) y (*.f64 #s(literal 1/2 binary64) x))

Samples

66.0ms

256×

valid

Compiler

Compiled 285 to 36 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 12.0ms (27% of total)

ival-pow2: 10.0ms (22.5% of total)

ival-add: 9.0ms (20.2% of total)

ival-sub: 5.0ms (11.2% of total)

ival-pow: 4.0ms (9% of total)

ival-log: 3.0ms (6.7% of total)

ival-div: 2.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series180.0ms (1.7%)

Memory

3.5MiB live, 158.2MiB allocated

Counts

21 → 492

Calls

Call 1

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

Outputs
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 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 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 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 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 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 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 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 (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (log.f64 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 (+ (* 1/2 x) (* y (+ 1 (log z)))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (+ 1 (log z)))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* y z)) (+ (* 1/2 x) (* y (+ 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y y) (patch (fma.f64 (log.f64 z) y y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y y) (patch (fma.f64 (log.f64 z) y y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y y) (patch (fma.f64 (log.f64 z) y y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y (log z))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 z) y y) (patch (fma.f64 (log.f64 z) y y) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow y 2) (* (pow y 2) (pow (log z) 2))) (* y (- 1 (log z)))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) (patch (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* z (- (+ (* -2 (/ y (- 1 (log z)))) (* z (- (+ (/ y (- 1 (log z))) (/ (* z (- (/ y (- 1 (log z))) (* -1 (/ (- (* -2 (/ y (- 1 (log z)))) (* -1 (/ (- (pow y 2) (* (pow y 2) (pow (log z) 2))) (* y (pow (- 1 (log z)) 2))))) (- 1 (log z)))))) (- 1 (log z)))) (* -1 (/ (- (* -2 (/ y (- 1 (log z)))) (* -1 (/ (- (pow y 2) (* (pow y 2) (pow (log z) 2))) (* y (pow (- 1 (log z)) 2))))) (- 1 (log z))))))) (* -1 (/ (- (pow y 2) (* (pow y 2) (pow (log z) 2))) (* y (pow (- 1 (log z)) 2)))))) (/ y (- 1 (log z)))) (/ (* y (pow (log z) 2)) (- 1 (log z)))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) (patch (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* 1/2 x) (+ (* z (- (+ (* -2 (/ y (- 1 (log z)))) (+ (* -1 (/ (* y (pow (log z) 2)) (pow (- 1 (log z)) 2))) (* z (- (+ (* -1 (/ (* y (pow (log z) 2)) (pow (- 1 (log z)) 3))) (/ y (- 1 (log z)))) (* -1 (/ (- (* -2 (/ y (- 1 (log z)))) (* -1 (/ y (pow (- 1 (log z)) 2)))) (- 1 (log z)))))))) (* -1 (/ y (pow (- 1 (log z)) 2))))) (/ y (- 1 (log z))))) (/ (* y (pow (log z) 2)) (- 1 (log z)))) (taylor 0 z) (#s(alt (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))) (patch (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 x) (+ (* z (- (+ (* -2 (/ y (- 1 (log z)))) (+ (* -1 (/ (* y (pow (log z) 2)) (pow (- 1 (log z)) 2))) (* z (- (+ (* -1 (/ (* y (pow (log z) 2)) (pow (- 1 (log z)) 3))) (+ (* z (- (* -1 (/ (* y (pow (log z) 2)) (pow (- 1 (log z)) 4))) (* -1 (/ (- (/ y (- 1 (log z))) (* -1 (/ (- (* -2 (/ y (- 1 (log z)))) (* -1 (/ y (pow (- 1 (log z)) 2)))) (- 1 (log z))))) (- 1 (log z)))))) (/ y (- 1 (log z))))) (* -1 (/ (- (* -2 (/ y (- 1 (log z)))) (* -1 (/ y (pow (- 1 (log z)) 2)))) (- 1 (log z)))))))) (* -1 (/ y (pow (- 1 (log z)) 2))))) (/ y (- 1 (log z))))) (/ (* y (pow (log z) 2)) (- 1 (log z)))) (taylor 0 z) (#s(alt (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))) (patch (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1/2 (/ (* y (- (pow (- 1 z) 2) (pow (log z) 2))) (* x (- 1 (+ z (log z))))))) (taylor inf x) (#s(alt (fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (.f64 #s(literal 1/2 binary64) x) (patch (.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 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 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 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 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 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 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (log z)) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 z) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (log.f64 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 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) (patch #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) (patch (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (log.f64 z) y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))) (patch (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (* y (pow (- 1 z) 2)) (- 1 (+ z (log z)))) (/ (* y (pow (log z) 2)) (- 1 (+ z (log z))))) x)) 1/2))) (taylor -inf x) (#s(alt (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))) (patch (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (* y (pow (- 1 z) 2)) (- 1 (+ z (log z)))) (/ (* y (pow (log z) 2)) (- 1 (+ z (log z))))) x)) 1/2))) (taylor -inf x) (#s(alt (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))) (patch (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (* y (pow (- 1 z) 2)) (- 1 (+ z (log z)))) (/ (* y (pow (log z) 2)) (- 1 (+ z (log z))))) x)) 1/2))) (taylor -inf x) (#s(alt (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))) (patch (+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64))) (.f64 y (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (pow (- 1 z) 2) (pow (log z) 2))) (* x (- 1 (+ z (log z)))))) 1/2))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (pow (- 1 z) 2) (pow (log z) 2))) (* x (- 1 (+ z (log z)))))) 1/2))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (pow (- 1 z) 2) (pow (log z) 2))) (* x (- 1 (+ z (log z)))))) 1/2))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)) #s(literal -1 binary64)) y) (.f64 #s(literal 1/2 binary64) x)) #<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
68.0ms	y	@	0	((+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (/ (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (* y (- (- 1 z) (log z)))) (+ (* x 1/2) (/ (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (* y (- (- 1 z) (log z))))) (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (* (pow (- (- 1 z) (log z)) -1) y) (- (pow (- 1 z) 2) (pow (log z) 2)) (pow (- 1 z) 2) (* 1/2 x) (pow (* (log z) y) 2) (* (log z) y) (pow (log z) 2) (pow (- (- 1 z) (log z)) -1))
26.0ms	z	@	-inf	((+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (/ (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (* y (- (- 1 z) (log z)))) (+ (* x 1/2) (/ (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (* y (- (- 1 z) (log z))))) (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (* (pow (- (- 1 z) (log z)) -1) y) (- (pow (- 1 z) 2) (pow (log z) 2)) (pow (- 1 z) 2) (* 1/2 x) (pow (* (log z) y) 2) (* (log z) y) (pow (log z) 2) (pow (- (- 1 z) (log z)) -1))
15.0ms	z	@	inf	((+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (/ (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (* y (- (- 1 z) (log z)))) (+ (* x 1/2) (/ (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (* y (- (- 1 z) (log z))))) (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (* (pow (- (- 1 z) (log z)) -1) y) (- (pow (- 1 z) 2) (pow (log z) 2)) (pow (- 1 z) 2) (* 1/2 x) (pow (* (log z) y) 2) (* (log z) y) (pow (log z) 2) (pow (- (- 1 z) (log z)) -1))
15.0ms	y	@	-inf	((+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (/ (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (* y (- (- 1 z) (log z)))) (+ (* x 1/2) (/ (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (* y (- (- 1 z) (log z))))) (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (* (pow (- (- 1 z) (log z)) -1) y) (- (pow (- 1 z) 2) (pow (log z) 2)) (pow (- 1 z) 2) (* 1/2 x) (pow (* (log z) y) 2) (* (log z) y) (pow (log z) 2) (pow (- (- 1 z) (log z)) -1))
12.0ms	z	@	0	((+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (log z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (* x 1/2) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* x 1/2) (+ (* (log z) y) y)) (+ (* (log z) y) y) (/ (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (* y (- (- 1 z) (log z)))) (+ (* x 1/2) (/ (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (* y (- (- 1 z) (log z))))) (- (pow (* (- 1 z) y) 2) (pow (* (log z) y) 2)) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (* (pow (- (- 1 z) (log z)) -1) y) (- (pow (- 1 z) 2) (pow (log z) 2)) (pow (- 1 z) 2) (* 1/2 x) (pow (* (log z) y) 2) (* (log z) y) (pow (log z) 2) (pow (- (- 1 z) (log z)) -1))

simplify224.0ms (2.1%)

Memory

43.0MiB live, 231.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 096×	`lower-fma.f64`
8 096×	`lower-fma.f32`
4 548×	`lower-*.f64`
4 548×	`lower-*.f32`
4 464×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	665	8132
1	2175	7416
2	7353	7389
0	8023	7058

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

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

rewrite269.0ms (2.5%)

Memory

-37.9MiB live, 288.7MiB allocated

Rules

4 120×	`lower-*.f32`
4 108×	`lower-*.f64`
4 088×	`lower-fma.f32`
4 078×	`lower-fma.f64`
3 620×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	215
0	61	203
1	286	201
2	2349	201
0	8379	196

Stop Event

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

Counts

21 → 751

Calls

Call 1

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

Outputs
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eval287.0ms (2.6%)

Memory: 45.2MiB live, 389.1MiB allocated
Compiler: Compiled 49 723 to 3 568 computations (92.8% saved)

prune59.0ms (0.5%)

Memory

3.9MiB live, 160.4MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1 565	13	1 578
Fresh	6	5	11
Picked	4	1	5
Done	0	0	0
Total	1 575	19	1 594

Accuracy

100.0%

Counts

1 594 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.8%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)))
	60.5%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (log.f64 z) y)))
	72.2%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))))
	56.6%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(approx (- (pow ( (- 1 z) y) 2) (pow (* (log z) y) 2)) (.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) y) y)) (*.f64 y (-.f64 (-.f64 #s(literal 1 binary64) 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))))
	73.2%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
	86.9%	(.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))))
▶	34.9%	#s(approx (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (*.f64 (neg.f64 z) y))
	85.0%	#s(approx (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (*.f64 (fma.f64 y (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) x) (/.f64 (log.f64 z) x)) #s(literal 1/2 binary64)) x))
	52.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64)) (.f64 y y)) (pow.f64 (-.f64 (.f64 (log.f64 z) y) y) #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64))))
▶	60.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
	34.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 z) y)) (sqrt.f64 (.f64 (log.f64 z) y)) (fma.f64 x #s(literal 1/2 binary64) y)))
	67.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y)))
▶	85.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x))
✓	41.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
	55.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (log.f64 z)) y y)))
	28.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y)))
	63.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y (+.f64 (/.f64 y x) #s(literal 1/2 binary64))) x)))

Compiler

Compiled 532 to 404 computations (24.1% saved)

simplify377.0ms (3.5%)

Memory

-33.3MiB live, 101.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x)))
cost-diff	128	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))))
cost-diff	0	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x)
cost-diff	0	(fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x))
cost-diff	832	(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #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	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (*.f64 (neg.f64 z) y))
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)))

Rules

8 786×	`lower-fma.f32`
8 780×	`lower-fma.f64`
3 452×	`lower-*.f32`
3 444×	`lower-*.f64`
2 192×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	259
0	70	263
1	135	245
2	255	243
3	645	231
4	2242	229
5	5803	229
0	8581	220

Stop Event

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

Calls

Call 1

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

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

localize143.0ms (1.3%)

Memory

5.2MiB live, 129.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
accuracy	0.078125	(fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.22265625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x))))
accuracy	0.6977419522528207	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (*.f64 #s(literal 1/2 binary64) x)))
accuracy	0.01171875	(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z)
accuracy	0.1328125	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x)
accuracy	2.9450880197169718	(fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64))
accuracy	6.691176404455441	(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x)
accuracy	0	(log.f64 z)
accuracy	0.01171875	(-.f64 (log.f64 z) z)
accuracy	0.1484375	(fma.f64 (-.f64 (log.f64 z) z) y y)
accuracy	25.164463320092608	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	41.68039111588462	#s(approx (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (*.f64 (neg.f64 z) y))
accuracy	0.0078125	(+.f64 (log.f64 z) #s(literal 1 binary64))
accuracy	0.01171875	(-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))
accuracy	0.2265625	(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))

Samples

96.0ms

256×

valid

Compiler

Compiled 240 to 43 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 15.0ms (28.5% of total)

ival-add: 10.0ms (19% of total)

ival-div: 8.0ms (15.2% of total)

ival-sub: 6.0ms (11.4% of total)

ival-pow2: 5.0ms (9.5% of total)

ival-log: 4.0ms (7.6% of total)

ival-pow: 4.0ms (7.6% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series169.0ms (1.6%)

Memory

20.9MiB live, 252.4MiB allocated

Counts

21 → 516

Calls

Call 1

Inputs
#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 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<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 #s(approx (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (.f64 (neg.f64 z) y)) (patch #s(approx (+ ( (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (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 (log.f64 z) (patch (log.f64 z) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x)) (patch #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) (patch (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) (patch (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (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 (+.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 (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 (+ (* 1/2 x) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z)))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (.f64 (neg.f64 z) y)) (patch #s(approx (+ ( (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (+ (* z (- (* -2 (/ y (- 1 (log z)))) (* -1 (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2))))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (.f64 (neg.f64 z) y)) (patch #s(approx (+ ( (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (+ (* z (- (+ (* -2 (/ y (- 1 (log z)))) (* z (- (/ y (- 1 (log z))) (* -1 (/ (- (* -2 (/ y (- 1 (log z)))) (* -1 (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (- 1 (log z))))))) (* -1 (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2))))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (.f64 (neg.f64 z) y)) (patch #s(approx (+ ( (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (+ (* z (- (+ (* -2 (/ y (- 1 (log z)))) (* z (- (+ (/ y (- 1 (log z))) (/ (* z (- (/ y (- 1 (log z))) (* -1 (/ (- (* -2 (/ y (- 1 (log z)))) (* -1 (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (- 1 (log z)))))) (- 1 (log z)))) (* -1 (/ (- (* -2 (/ y (- 1 (log z)))) (* -1 (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2)))) (- 1 (log z))))))) (* -1 (/ (* y (- 1 (pow (log z) 2))) (pow (- 1 (log z)) 2))))) (/ (* y (- 1 (pow (log z) 2))) (- 1 (log z))))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (.f64 (neg.f64 z) y)) (patch #s(approx (+ ( (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (+ 1 (log z)))) (taylor 0 z) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (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>) () ())) ())
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#s(alt (/ (- (+ 2 (* 8 (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) (pow x 2)))) (* 4 (/ (* y (- (+ 1 (log z)) z)) x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (* -16 (/ (* (pow y 3) (pow (- (+ 1 (log z)) z) 3)) (pow x 3)))) (+ (* -8 (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) (pow x 2))) (* 4 (/ (* y (- (+ 1 (log z)) z)) x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (+.f64 (.f64 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 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 (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (.f64 (neg.f64 z) y)) (patch #s(approx (+ ( (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (pow (- 1 z) 2) (pow (log z) 2))) (* x (- 1 (+ z (log z)))))) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (.f64 (neg.f64 z) y)) (patch #s(approx (+ ( (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (pow (- 1 z) 2) (pow (log z) 2))) (* x (- 1 (+ z (log z)))))) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (.f64 (neg.f64 z) y)) (patch #s(approx (+ ( (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (pow (- 1 z) 2) (pow (log z) 2))) (* x (- 1 (+ z (log z)))))) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (.f64 (neg.f64 z) y)) (patch #s(approx (+ ( (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (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 (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #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 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #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 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #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 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #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 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x)) (patch #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #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 (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x)) (patch #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #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 (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x)) (patch #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #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 (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x)) (patch #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #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 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #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 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #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 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (log z)) z) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) (patch (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (log z)) z) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) (patch (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (log z)) z) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) (patch (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (log z)) z) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) (patch (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) z) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* 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 (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4 (/ (* y (- (+ 1 (log z)) z)) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) x)) (* 4 (* y (- (+ 1 (log z)) z)))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ (* (pow y 3) (pow (- (+ 1 (log z)) z) 3)) x)) (* 8 (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)))) x)) (* 4 (* y (- (+ 1 (log z)) z)))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) y (.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	z	@	-inf	((/ y (/ 1 (- (+ (log z) 1) z))) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (* x 1/2) (/ 1 (- (+ (log z) 1) z)) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (* (neg z) y) (neg z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (* (+ (* (/ (- (+ 1 (log z)) z) x) y) 1/2) x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (/ (- (+ 1 (log z)) z) x) y) 1/2) (/ (- (+ 1 (log z)) z) x) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (- (+ (log z) 1) z) (+ (log z) 1) (- (+ 1 (log z)) z))
29.0ms	y	@	inf	((/ y (/ 1 (- (+ (log z) 1) z))) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (* x 1/2) (/ 1 (- (+ (log z) 1) z)) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (* (neg z) y) (neg z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (* (+ (* (/ (- (+ 1 (log z)) z) x) y) 1/2) x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (/ (- (+ 1 (log z)) z) x) y) 1/2) (/ (- (+ 1 (log z)) z) x) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (- (+ (log z) 1) z) (+ (log z) 1) (- (+ 1 (log z)) z))
14.0ms	x	@	-inf	((/ y (/ 1 (- (+ (log z) 1) z))) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (* x 1/2) (/ 1 (- (+ (log z) 1) z)) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (* (neg z) y) (neg z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (* (+ (* (/ (- (+ 1 (log z)) z) x) y) 1/2) x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (/ (- (+ 1 (log z)) z) x) y) 1/2) (/ (- (+ 1 (log z)) z) x) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (- (+ (log z) 1) z) (+ (log z) 1) (- (+ 1 (log z)) z))
13.0ms	x	@	0	((/ y (/ 1 (- (+ (log z) 1) z))) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (* x 1/2) (/ 1 (- (+ (log z) 1) z)) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (* (neg z) y) (neg z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (* (+ (* (/ (- (+ 1 (log z)) z) x) y) 1/2) x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (/ (- (+ 1 (log z)) z) x) y) 1/2) (/ (- (+ 1 (log z)) z) x) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (- (+ (log z) 1) z) (+ (log z) 1) (- (+ 1 (log z)) z))
13.0ms	z	@	0	((/ y (/ 1 (- (+ (log z) 1) z))) (+ (* x 1/2) (/ y (/ 1 (- (+ (log z) 1) z)))) (* x 1/2) (/ 1 (- (+ (log z) 1) z)) (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (* (neg z) y) (neg z) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (log z) (* (+ (* (/ (- (+ 1 (log z)) z) x) y) 1/2) x) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (/ (- (+ 1 (log z)) z) x) y) 1/2) (/ (- (+ 1 (log z)) z) x) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (- (+ (log z) 1) z) (+ (log z) 1) (- (+ 1 (log z)) z))

simplify269.0ms (2.5%)

Memory

-26.6MiB live, 261.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 288×	`lower-fma.f64`
6 288×	`lower-fma.f32`
4 934×	`lower-*.f64`
4 934×	`lower-*.f32`
3 704×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	642	8033
1	2025	7387
2	7012	7263
0	8061	6789

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

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

rewrite419.0ms (3.8%)

Memory

3.8MiB live, 194.2MiB allocated

Rules

4 376×	`lower-*.f32`
4 368×	`lower-*.f64`
4 010×	`lower-/.f32`
4 000×	`lower-/.f64`
3 246×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	217
0	70	220
1	360	191
2	2699	191
0	8914	184

Stop Event

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

Counts

21 → 1 258

Calls

Call 1

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

Outputs
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eval833.0ms (7.6%)

Memory: 28.2MiB live, 580.6MiB allocated
Compiler: Compiled 54 278 to 5 858 computations (89.2% saved)

prune76.0ms (0.7%)

Memory

-4.4MiB live, 232.3MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	2 093	16	2 109
Fresh	6	7	13
Picked	3	2	5
Done	0	1	1
Total	2 102	26	2 128

Accuracy

100.0%

Counts

2 128 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.8%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)))
▶	60.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))))
▶	34.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (neg.f64 z) y))))
	34.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
	41.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 #s(literal 2 binary64) x)))
	73.1%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y #s(approx (/ 1 (- (+ (log z) 1) z)) (/.f64 #s(literal -1 binary64) z))))
	73.2%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
	88.2%	(+.f64 (.f64 x #s(literal 1/2 binary64)) #s(approx (/ y (/ 1 (- (+ (log z) 1) z))) (.f64 (-.f64 (/.f64 (fma.f64 (log.f64 z) y y) z) y) z)))
✓	34.9%	#s(approx (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (*.f64 (neg.f64 z) y))
	52.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64)) (.f64 y y)) (pow.f64 (-.f64 (.f64 (log.f64 z) y) y) #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64))))
✓	60.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
	34.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 z) y)) (sqrt.f64 (.f64 (log.f64 z) y)) (fma.f64 x #s(literal 1/2 binary64) y)))
▶	67.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y)))
▶	34.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y))
	28.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))
	48.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z)) y) (+.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))
	60.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))))
	60.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y))
	63.2%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 #s(approx (- (+ 1 (log z)) z) (+.f64 (log.f64 z) #s(literal 1 binary64))) x) y #s(literal 1/2 binary64)) x))
	62.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 #s(approx (- (+ 1 (log z)) z) (neg.f64 z)) x) y #s(literal 1/2 binary64)) x))
	89.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) (/.f64 y x) #s(literal 1/2 binary64)) x))
	74.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (fma.f64 #s(approx (/ (- (+ 1 (log z)) z) x) (.f64 (-.f64 (/.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) x) (/.f64 #s(literal 1 binary64) x)) z)) y #s(literal 1/2 binary64)) x))
	29.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(approx (+ ( (/ (- (+ 1 (log z)) z) x) y) 1/2) (*.f64 (neg.f64 z) (/.f64 y x))) x))
✓	41.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
	55.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (log.f64 z)) y y)))
	63.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y (+.f64 (/.f64 y x) #s(literal 1/2 binary64))) x)))

Compiler

Compiled 585 to 503 computations (14% saved)

simplify169.0ms (1.5%)

Memory

-9.4MiB live, 183.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (-.f64 (log.f64 z) z) y y)
cost-diff	0	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))))
cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) y)
cost-diff	0	(log.f64 z)
cost-diff	0	(fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y))
cost-diff	0	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y)))
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	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (neg.f64 z) y)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (neg.f64 z) y))))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- (log z) z) (neg.f64 z))
cost-diff	0	(fma.f64 #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	#s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)))
cost-diff	704	(*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)

Rules

10 182×	`lower-fma.f32`
10 170×	`lower-fma.f64`
3 082×	`lower-*.f32`
3 078×	`lower-*.f64`
2 024×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	302
0	66	294
1	115	286
2	177	286
3	277	286
4	529	283
5	1048	283
6	2387	283
7	5847	283
0	8412	270

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1%)

Memory

7.8MiB live, 178.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(fma.f64 (-.f64 (log.f64 z) z) y y)
accuracy	0.22265625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))))
accuracy	0.6977419522528207	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))
accuracy	25.164463320092608	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))
accuracy	0	(fma.f64 x #s(literal 1/2 binary64) y)
accuracy	0	(log.f64 z)
accuracy	0.140625	(fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y))
accuracy	20.729336239493286	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y)))
accuracy	0	(neg.f64 z)
accuracy	0.22265625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (neg.f64 z) y))))
accuracy	0.6977419522528207	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (neg.f64 z) y)))
accuracy	41.68039111588462	#s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (neg.f64 z) y))
accuracy	0	(neg.f64 z)
accuracy	0.1484375	(fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y)
accuracy	25.164463320092608	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y))
accuracy	34.76004791438513	#s(approx (- (log z) z) (neg.f64 z))
accuracy	0.06640625	(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)))
accuracy	0.08984375	(fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64))
accuracy	0.2265625	(/.f64 (log.f64 z) x)
accuracy	5.706908947703955	(*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)

Samples

84.0ms

256×

valid

Compiler

Compiled 227 to 35 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 33.0ms (49.8% of total)

ival-add: 20.0ms (30.2% of total)

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

ival-sub: 4.0ms (6% of total)

ival-log: 4.0ms (6% 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)

series176.0ms (1.6%)

Memory

-0.1MiB live, 225.7MiB allocated

Counts

22 → 636

Calls

Call 1

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

Outputs
#s(alt (* x (+ 1/2 (/ (* y (log z)) x))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ (* y (log z)) x))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ (* y (log z)) x))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ (* y (log z)) x))) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* 1/2 x) (* y (log z)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ ( (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #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 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ ( (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #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 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ ( (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #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 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ ( (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #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 (log z))) (taylor 0 z) (#s(alt #s(approx (+ (* (log z) y) (* 1/2 x)) (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)) (patch #s(approx (+ ( (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (log z))) (taylor 0 z) (#s(alt #s(approx (+ (* (log z) y) (* 1/2 x)) (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)) (patch #s(approx (+ ( (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (log z))) (taylor 0 z) (#s(alt #s(approx (+ (* (log z) y) (* 1/2 x)) (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)) (patch #s(approx (+ ( (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* y (log z))) (taylor 0 z) (#s(alt #s(approx (+ (* (log z) y) (* 1/2 x)) (.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)) (patch #s(approx (+ ( (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)) #<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>) () ())) ())
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#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y)) (patch (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y)) (patch (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y)) (patch (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ y (* y (log z))) x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y)) (patch (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) y) (patch (fma.f64 x #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) y) (patch (fma.f64 x #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) y) (patch (fma.f64 x #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) y) (patch (fma.f64 x #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 4 (/ (* y (- (+ 1 (log z)) z)) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)) x)) (* 4 (* y (- (+ 1 (log z)) z)))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ (* (pow y 3) (pow (- (+ 1 (log z)) z) 3)) x)) (* 8 (* (pow y 2) (pow (- (+ 1 (log z)) z) 2)))) x)) (* 4 (* y (- (+ 1 (log z)) z)))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (+ 1 (log z)) z)) x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) (patch #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (fma.f64 (-.f64 (log.f64 z) z) y y)) #<representation binary64>) () ())) ())
#s(alt (/ (log z) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 z) x) (patch (/.f64 (log.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (/ (log z) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 z) x) (patch (/.f64 (log.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (/ (log z) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 z) x) (patch (/.f64 (log.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (/ (log z) x) (taylor -inf x) (#s(alt (/.f64 (log.f64 z) x) (patch (/.f64 (log.f64 z) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor -inf x) (#s(alt (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (/ (* y (log z)) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (/ (* y (log z)) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (/ (* y (log z)) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
41.0ms	y	@	-inf	((* (+ (* (/ (log z) x) y) 1/2) x) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (neg z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (neg z) y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (log z) y) (+ (* x 1/2) y)) (log z) (+ (* x 1/2) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (- (log z) z) y) y) (/ (log z) x) (+ (* (/ (log z) x) y) 1/2))
26.0ms	z	@	-inf	((* (+ (* (/ (log z) x) y) 1/2) x) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (neg z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (neg z) y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (log z) y) (+ (* x 1/2) y)) (log z) (+ (* x 1/2) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (- (log z) z) y) y) (/ (log z) x) (+ (* (/ (log z) x) y) 1/2))
20.0ms	x	@	-inf	((* (+ (* (/ (log z) x) y) 1/2) x) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (neg z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (neg z) y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (log z) y) (+ (* x 1/2) y)) (log z) (+ (* x 1/2) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (- (log z) z) y) y) (/ (log z) x) (+ (* (/ (log z) x) y) 1/2))
15.0ms	z	@	0	((* (+ (* (/ (log z) x) y) 1/2) x) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (neg z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (neg z) y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (log z) y) (+ (* x 1/2) y)) (log z) (+ (* x 1/2) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (- (log z) z) y) y) (/ (log z) x) (+ (* (/ (log z) x) y) 1/2))
13.0ms	x	@	inf	((* (+ (* (/ (log z) x) y) 1/2) x) (+ (* (- 1 z) y) (+ (* (log z) y) (* 1/2 x))) (- 1 z) (+ (* (log z) y) (* 1/2 x)) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (- (log z) z) y) y) (- (log z) z) (neg z) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (* (neg z) y) (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+ (* (log z) y) (+ (* x 1/2) y)) (log z) (+ (* x 1/2) y) (/ 1 (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)))) (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (+ (* (- (log z) z) y) y) (/ (log z) x) (+ (* (/ (log z) x) y) 1/2))

simplify209.0ms (1.9%)

Memory

28.2MiB live, 254.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 362×	`lower-fma.f64`
8 362×	`lower-fma.f32`
4 554×	`lower-*.f64`
4 554×	`lower-*.f32`
3 312×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	454	8859
1	1434	8220
2	4672	7993
0	8115	7282

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 633

Calls

Call 1

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

rewrite212.0ms (1.9%)

Memory

-4.0MiB live, 290.3MiB allocated

Rules

5 586×	`lower-fma.f32`
5 574×	`lower-fma.f64`
4 406×	`lower-*.f32`
4 402×	`lower-*.f64`
4 118×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	275
0	66	267
1	313	259
2	2205	259
0	9019	249

Stop Event

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

Counts

22 → 439

Calls

Call 1

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

Outputs
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eval195.0ms (1.8%)

Memory: -24.6MiB live, 285.3MiB allocated
Compiler: Compiled 21 065 to 2 282 computations (89.2% saved)

prune85.0ms (0.8%)

Memory

-16.9MiB live, 129.3MiB allocated

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	1 130	6	1 136
Fresh	3	15	18
Picked	2	3	5
Done	0	3	3
Total	1 135	27	1 162

Accuracy

100.0%

Counts

1 162 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(fma.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y #s(literal 1/2 binary64)) x)))
✓	34.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) (*.f64 (neg.f64 z) y))))
	27.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- (+ (log z) 1) z) y) (* 1/2 x)) #s(approx (+ (* (- (log z) z) y) y) (fma.f64 (log.f64 z) y y)))))
	34.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
	41.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (+ (log z) 1) z) y) (* 1/2 x))) (/.f64 #s(literal 2 binary64) x)))
	73.1%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y #s(approx (/ 1 (- (+ (log z) 1) z)) (/.f64 #s(literal -1 binary64) z))))
	73.2%	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
✓	34.9%	#s(approx (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) y)) (* 1/2 x)) (*.f64 (neg.f64 z) y))
	52.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (pow.f64 (.f64 (log.f64 z) y) #s(literal 2 binary64)) (.f64 y y)) (pow.f64 (-.f64 (.f64 (log.f64 z) y) y) #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64))))
✓	60.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y))
	34.6%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 z) y)) (sqrt.f64 (.f64 (log.f64 z) y)) (fma.f64 x #s(literal 1/2 binary64) y)))
✓	67.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y)))
	49.1%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y #s(approx (+ (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x))))
✓	34.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y))
	28.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (log.f64 z)) y y))
	48.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 z z)) y) (+.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z)))
	60.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z))))
	60.5%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (+.f64 (*.f64 (-.f64 (log.f64 z) z) y) y))
	63.2%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 #s(approx (- (+ 1 (log z)) z) (+.f64 (log.f64 z) #s(literal 1 binary64))) x) y #s(literal 1/2 binary64)) x))
	62.7%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (fma.f64 (/.f64 #s(approx (- (+ 1 (log z)) z) (neg.f64 z)) x) y #s(literal 1/2 binary64)) x))
	74.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 (fma.f64 #s(approx (/ (- (+ 1 (log z)) z) x) (.f64 (-.f64 (/.f64 (/.f64 (+.f64 (log.f64 z) #s(literal 1 binary64)) z) x) (/.f64 #s(literal 1 binary64) x)) z)) y #s(literal 1/2 binary64)) x))
	29.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(approx (+ ( (/ (- (+ 1 (log z)) z) x) y) 1/2) (*.f64 (neg.f64 z) (/.f64 y x))) x))
✓	41.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
	50.4%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (- (log z) z) y) y) (*.f64 (-.f64 (/.f64 (fma.f64 (log.f64 z) y y) z) y) z)))
	55.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (log z) y) (+ (* x 1/2) y)) (fma.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (log.f64 z)) y y)))
	63.3%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* (log z) y) (+ (* x 1/2) y)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 z)) (/.f64 y x) #s(literal 1/2 binary64)) x)))
	63.0%	#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (*.f64 (fma.f64 (/.f64 (log.f64 z) x) y (+.f64 (/.f64 y x) #s(literal 1/2 binary64))) x)))

Compiler

Compiled 1 050 to 484 computations (53.9% saved)

regimes137.0ms (1.3%)

Memory

18.4MiB live, 132.4MiB allocated

Counts

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

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

Calls

7 calls:

36.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
25.0ms	z
19.0ms	y
14.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
14.0ms	(*.f64 x #s(literal 1/2 binary64))

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)

regimes48.0ms (0.4%)

Memory

9.4MiB live, 84.2MiB allocated

Counts

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

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
89.3%	4	`x`
85.1%	3	`y`
99.4%	2	`z`
81.0%	3	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
89.3%	4	`(*.f64 x #s(literal 1/2 binary64))`
89.3%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
99.3%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

-26.4MiB live, 11.7MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes31.0ms (0.3%)

Memory

5.8MiB live, 50.9MiB allocated

Counts

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

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
87.7%	3	`x`
87.7%	3	`(*.f64 x #s(literal 1/2 binary64))`
84.7%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
82.8%	3	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
81.0%	2	`z`

Compiler

Compiled 19 to 26 computations (-36.8% saved)

regimes44.0ms (0.4%)

Memory

12.5MiB live, 50.6MiB allocated

Counts

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

Outputs

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

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

Calls

7 calls:

15.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
5.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
5.0ms	x
5.0ms	(*.f64 x #s(literal 1/2 binary64))
5.0ms	z

Results

Accuracy	Segments	Branch
73.2%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
77.2%	2	`z`
77.9%	3	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
73.2%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
73.2%	1	`y`
76.3%	3	`x`
76.3%	3	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes29.0ms (0.3%)

Memory

-4.2MiB live, 34.6MiB allocated

Counts

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

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

Calls

4 calls:

15.0ms	(*.f64 x #s(literal 1/2 binary64))
4.0ms	x
4.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
4.0ms	z

Results

Accuracy	Segments	Branch
73.2%	1	`x`
73.2%	1	`(*.f64 x #s(literal 1/2 binary64))`
73.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
73.2%	1	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes21.0ms (0.2%)

Memory

7.7MiB live, 44.4MiB allocated

Counts

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

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

Calls

7 calls:

5.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
3.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
2.0ms	(*.f64 x #s(literal 1/2 binary64))
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
72.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
72.2%	1	`y`
72.2%	1	`z`
72.2%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
72.2%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
72.2%	1	`x`
72.2%	1	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes23.0ms (0.2%)

Memory

-0.7MiB live, 39.6MiB 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 (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) 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:

9.0ms	(*.f64 x #s(literal 1/2 binary64))
2.0ms	z
2.0ms	(+.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	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))

Results

Accuracy	Segments	Branch
55.4%	3	`y`
57.1%	3	`x`
62.8%	2	`z`
57.1%	3	`(*.f64 x #s(literal 1/2 binary64))`
62.7%	2	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
53.5%	3	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
63.0%	3	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes2.0ms (0%)

Memory

6.6MiB live, 6.6MiB 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 (+ (* (- (pow (- 1 z) 2) (pow (log z) 2)) (* (pow (- (- 1 z) (log z)) -1) 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:

2.0ms

Results

Accuracy	Segments	Branch
62.8%	2	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory

-6.8MiB live, 29.7MiB 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:

4.0ms	(*.f64 x #s(literal 1/2 binary64))
1.0ms	(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))
1.0ms	(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))
1.0ms	x

Results

Accuracy	Segments	Branch
41.3%	1	`(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))`
41.3%	1	`y`
41.3%	1	`x`
41.3%	1	`(*.f64 x #s(literal 1/2 binary64))`
41.3%	1	`(*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z)))`
41.3%	1	`(+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))`
41.3%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch15.0ms (0.1%)

Memory

-10.1MiB live, 27.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0014524785703032188	0.008670252708843708

Samples

6.0ms

96×

valid

Compiler

Compiled 123 to 131 computations (-6.5% saved)

Precisions

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

ival-log: 1.0ms (26.1% of total)

ival-add: 1.0ms (26.1% of total)

ival-mult: 1.0ms (26.1% 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

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0014524785703032188	0.008670252708843708

Compiler

Compiled 123 to 131 computations (-6.5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.572003415454296e-146	7.769647984623775e-141
0.0ms	-2.3428576985087672e+64	-1.2513768505617817e+63

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch16.0ms (0.1%)

Memory

-2.7MiB live, 35.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.496492961087375e-112	2.847585560319969e-110

Samples

7.0ms

112×

valid

Compiler

Compiled 127 to 143 computations (-12.6% saved)

Precisions

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

ival-sub: 1.0ms (21.9% of total)

ival-log: 1.0ms (21.9% of total)

ival-add: 1.0ms (21.9% of total)

ival-mult: 1.0ms (21.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Memory

33.0MiB live, 33.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.026069421416548316	565.4146775174192

Samples

8.0ms

128×

valid

Compiler

Compiled 103 to 137 computations (-33% saved)

Precisions

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

ival-mult: 2.0ms (39.5% of total)

ival-sub: 1.0ms (19.7% of total)

ival-log: 1.0ms (19.7% of total)

ival-add: 1.0ms (19.7% 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

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.026069421416548316	565.4146775174192

Compiler

Compiled 87 to 129 computations (-48.3% saved)

simplify56.0ms (0.5%)

Memory

-53.9MiB live, 41.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`-commutative-binary64-.f64`
16×	`+-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	63	334
1	80	334
2	90	334
3	97	334
4	100	334
5	101	334

Stop Event

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))))
(if (<=.f64 z #s(literal 1224979098644775/144115188075855872 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 z #s(literal 1224979098644775/144115188075855872 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 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -20000000000000000426408380189087937446025157425359298935486676992 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z)))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 5623642243178995/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))))
(if (<=.f64 z #s(literal 6633828858003903/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z)))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 z #s(literal 550 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 550 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
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y (+.f64 (-.f64 #s(literal 1 binary64) z) (log.f64 z))))
(+.f64 (.f64 (+.f64 (log.f64 z) (-.f64 #s(literal 1 binary64) z)) y) (.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 z #s(literal 1224979098644775/144115188075855872 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 z #s(literal 1224979098644775/144115188075855872 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (log.f64 z) y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 z #s(literal 1224979098644775/144115188075855872 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 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 z #s(literal 1224979098644775/144115188075855872 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 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -20000000000000000426408380189087937446025157425359298935486676992 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z)))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 5623642243178995/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y)) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z))))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal -20000000000000000426408380189087937446025157425359298935486676992 binary64)) (+.f64 (.f64 #s(approx (+ (- 1 z) (log z)) (neg.f64 z)) y) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 5623642243178995/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 (-.f64 (log.f64 z) z) y y)) (+.f64 (.f64 #s(approx (+ (- 1 z) (log z)) (neg.f64 z)) y) (.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 z #s(literal 6633828858003903/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) (+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(approx (+ (- 1 z) (log z)) (neg.f64 z)))))
(if (<=.f64 z #s(literal 6633828858003903/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) #s(approx (+ (* x 1/2) (+ (* (log z) y) y)) (fma.f64 (log.f64 z) y y))) (+.f64 (.f64 #s(approx (+ (- 1 z) (log 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))))
(+.f64 (.f64 #s(approx (+ (- 1 z) (log z)) (neg.f64 z)) y) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(approx (+ (* (log z) y) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 z #s(literal 550 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 550 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (fma.f64 #s(approx (- (log z) z) (neg.f64 z)) y y)))
(if (<=.f64 z #s(literal 550 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 x #s(literal 1/2 binary64))) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 z) y)))
(if (<=.f64 z #s(literal 550 binary64)) #s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ ( x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 (neg.f64 z) y)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (+ (* x 1/2) (* y (+ (- 1 z) (log z)))) (*.f64 #s(literal 1/2 binary64) x))

soundness1.0s (9.5%)

Memory

50.9MiB live, 756.0MiB allocated

Rules

9 802×	`lower-fma.f64`
9 802×	`lower-fma.f32`
8 096×	`lower-fma.f64`
8 096×	`lower-fma.f32`
6 726×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	665	8132
1	2175	7416
2	7353	7389
0	8023	7058
0	642	8033
1	2025	7387
2	7012	7263
0	8061	6789
0	11	31
0	17	31
1	70	31
2	596	31
0	8472	30
0	38	215
0	61	203
1	286	201
2	2349	201
0	8379	196
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×	node limit

Compiler

Compiled 380 to 214 computations (43.7% saved)

preprocess132.0ms (1.2%)

Memory: -21.9MiB live, 139.7MiB allocated
Compiler: Compiled 376 to 144 computations (61.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample3.3s (30.7%)

explain113.0ms (1%)

preprocess311.0ms (2.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify305.0ms (2.8%)

localize32.0ms (0.3%)

series93.0ms (0.9%)

simplify123.0ms (1.1%)

rewrite153.0ms (1.4%)

eval53.0ms (0.5%)

prune18.0ms (0.2%)

simplify121.0ms (1.1%)

localize138.0ms (1.3%)

series180.0ms (1.7%)

simplify224.0ms (2.1%)

rewrite269.0ms (2.5%)

eval287.0ms (2.6%)

prune59.0ms (0.5%)

simplify377.0ms (3.5%)

localize143.0ms (1.3%)

series169.0ms (1.6%)

simplify269.0ms (2.5%)

rewrite419.0ms (3.8%)

eval833.0ms (7.6%)

prune76.0ms (0.7%)

simplify169.0ms (1.5%)

localize109.0ms (1%)

series176.0ms (1.6%)

simplify209.0ms (1.9%)

rewrite212.0ms (1.9%)

eval195.0ms (1.8%)

prune85.0ms (0.8%)

regimes137.0ms (1.3%)

regimes48.0ms (0.4%)

regimes8.0ms (0.1%)

regimes31.0ms (0.3%)

regimes44.0ms (0.4%)

regimes29.0ms (0.3%)

regimes21.0ms (0.2%)

regimes23.0ms (0.2%)

regimes2.0ms (0%)

regimes13.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch16.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch1.0ms (0%)

simplify56.0ms (0.5%)

soundness1.0s (9.5%)

preprocess132.0ms (1.2%)

end0.0ms (0%)

Profiling