Metrics for neg log

analyze2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample672.0ms (11.2%)

Memory

29.6MiB live, 830.0MiB allocated

Samples

437.0ms	8 256×	0	valid
1.0ms	19×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 275.0ms

ival-log: 106.0ms (38.5% of total)

ival-div: 68.0ms (24.7% of total)

ival-sub: 56.0ms (20.4% of total)

ival-neg: 33.0ms (12% of total)

ival-true: 5.0ms (1.8% of total)

exact: 4.0ms (1.5% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess15.0ms (0.3%)

Memory

20.1MiB live, 20.1MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`sub-neg`
16×	`+-commutative`
12×	`lower-+.f64`
12×	`lower-+.f32`
12×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
0	10	7
1	17	7
2	20	7
3	22	7
4	24	7
5	28	7
6	33	7
0	33	7

Stop Event

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

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

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

explain83.0ms (1.4%)

Memory

-10.4MiB live, 115.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
-	-	`(/.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
-	-	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 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

37.0ms

512×

valid

Compiler

Compiled 66 to 28 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 8.0ms (39.4% of total)

ival-log: 7.0ms (34.5% of total)

ival-sub: 2.0ms (9.9% of total)

ival-neg: 2.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify5.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓	cost-diff	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Rules

12×	`lower-+.f64`
12×	`lower-+.f32`
8×	`sub-neg`
8×	`lower--.f32`
6×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	17	23
2	20	23
3	22	23
4	24	23
5	28	23
6	33	23
0	33	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

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

localize36.0ms (0.6%)

Memory

-12.2MiB live, 26.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	accuracy	100.0%	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Samples

27.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log: 16.0ms (75.3% of total)

ival-div: 2.0ms (9.4% of total)

ival-sub: 1.0ms (4.7% of total)

ival-neg: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(neg (log (- (/ 1 x) 1)))
0.0ms	x	@	inf	(neg (log (- (/ 1 x) 1)))
0.0ms	x	@	-inf	(neg (log (- (/ 1 x) 1)))
0.0ms	x	@	0	(- (/ 1 x) 1)
0.0ms	x	@	-inf	(/ 1 x)

simplify316.0ms (5.3%)

Memory

7.4MiB live, 241.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 216×	`lower-fma.f64`
5 216×	`lower-fma.f32`
1 376×	`lower-*.f64`
1 376×	`lower-*.f32`
944×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	313
1	190	292
2	397	290
3	962	280
4	1965	278
5	4210	278
6	5604	278
7	5777	278
8	5792	278
9	5792	278
10	5792	278
11	5967	278
12	5993	278
13	5993	278
0	5993	270

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

rewrite370.0ms (6.2%)

Memory

-20.8MiB live, 426.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 528×	`lower-fma.f64`
3 528×	`lower-fma.f32`
2 728×	`lower-/.f32`
2 726×	`lower-/.f64`
1 996×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	38	21
2	236	21
3	2504	21
0	9279	18

Stop Event

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

Counts

4 → 345

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)

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

eval51.0ms (0.8%)

Memory: 1.1MiB live, 113.0MiB allocated
Compiler: Compiled 11 114 to 1 317 computations (88.2% saved)

prune54.0ms (0.9%)

Memory

29.6MiB live, 151.0MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	390	3	393
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	390	4	394

Accuracy

100.0%

Counts

394 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
▶	99.8%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
▶	99.6%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
▶	98.7%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Compiler

Compiled 28 to 17 computations (39.3% saved)

simplify9.0ms (0.2%)

Memory

-21.4MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(log.f64 x)
✓	cost-diff	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
✓	cost-diff	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓	cost-diff	(log.f64 x)
✓	cost-diff	(+.f64 x (log.f64 x))
✓	cost-diff	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓	cost-diff	(log.f64 x)
✓	cost-diff	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Rules

68×	`lower-fma.f32`
64×	`lower-fma.f64`
46×	`lower-*.f64`
46×	`lower-*.f32`
40×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
0	20	65
1	38	65
2	54	65
3	78	65
4	80	65
5	84	65
6	89	65
0	89	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (0.9%)

Memory

8.9MiB live, 102.9MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
✓	accuracy	99.8%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(+.f64 x (log.f64 x))
✓	accuracy	99.6%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	98.7%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Samples

31.0ms

256×

valid

Compiler

Compiled 53 to 15 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 6.0ms (29.3% of total)

ival-log: 6.0ms (29.3% of total)

ival-add: 3.0ms (14.7% of total)

ival-mult: 3.0ms (14.7% of total)

ival-sub: 1.0ms (4.9% of total)

ival-neg: 1.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (1.1%)

Memory

1.4MiB live, 119.9MiB allocated

Counts

7 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	(log x)
23.0ms	x	@	-inf	(log x)
6.0ms	x	@	inf	(log x)
0.0ms	x	@	inf	(+ (* x (+ (* x 1/2) 1)) (log x))
0.0ms	x	@	-inf	(+ (* x (+ (* x 1/2) 1)) (log x))

simplify278.0ms (4.6%)

Memory

6.9MiB live, 320.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 672×	`lower-fma.f64`
9 672×	`lower-fma.f32`
3 982×	`lower-*.f64`
3 982×	`lower-*.f32`
1 328×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	632
1	215	597
2	504	586
3	1978	563
4	6350	554
0	8292	516

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

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

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

rewrite336.0ms (5.6%)

Memory

9.4MiB live, 562.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 818×	`lower-fma.f32`
6 814×	`lower-fma.f64`
4 584×	`lower-*.f64`
4 584×	`lower-*.f32`
3 512×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
0	20	56
1	91	56
2	675	56
3	7825	56
0	8364	53

Stop Event

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

Counts

7 → 261

Calls

Call 1

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

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(neg.f64 (neg.f64 (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
(+.f64 x (log.f64 x))
(+.f64 (log.f64 x) x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)))
(fma.f64 #s(literal 1 binary64) x (log.f64 x))
(fma.f64 x #s(literal 1 binary64) (log.f64 x))
(fma.f64 x (/.f64 x (-.f64 x (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (log.f64 x))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (log.f64 x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 x (log.f64 x)) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (+.f64 x (log.f64 x)) (.f64 x x)) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (.f64 x x)))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (log.f64 x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 x (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 x) x) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 (neg.f64 x) (log.f64 x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 x (log.f64 x)) #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (.f64 x x)) (-.f64 (.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (.f64 (-.f64 x (log.f64 x)) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (log.f64 x) x))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (.f64 (-.f64 x (log.f64 x)) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (log.f64 x))) (.f64 (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (-.f64 x (log.f64 x)) (-.f64 x (log.f64 x))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (log.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 x (log.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 x (.f64 x (.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (.f64 x (log.f64 x)) #s(literal 2 binary64))) (-.f64 x (log.f64 x))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 x) (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (.f64 x x) (-.f64 x (log.f64 x))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (.f64 x x) (-.f64 x (log.f64 x)))) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))))) (fma.f64 x (/.f64 x (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x (log.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (.f64 x x)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 x (log.f64 x)) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (.f64 x x)))) (-.f64 (.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x)))) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x)))) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))
(.f64 (+.f64 x (log.f64 x)) (.f64 (-.f64 x (log.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x)))))
(*.f64 (+.f64 x (log.f64 x)) (/.f64 (-.f64 x (log.f64 x)) (-.f64 x (log.f64 x))))
(.f64 (fma.f64 x (.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x))))
(.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (.f64 x x)) (.f64 (+.f64 x (log.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (.f64 x x)))))
(.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (.f64 x x)) (/.f64 (+.f64 x (log.f64 x)) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))))
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) (log.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))) (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 x (log.f64 x)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (pow.f64 (.f64 (log.f64 x) (-.f64 (log.f64 x) x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (log.f64 x) (-.f64 (log.f64 x) x)) (-.f64 (.f64 (log.f64 x) (-.f64 (log.f64 x) x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (.f64 (log.f64 x) (-.f64 (log.f64 x) x)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (log.f64 x) (-.f64 (log.f64 x) x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (+.f64 x (log.f64 x)) (*.f64 x x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
(+.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (log.f64 x)))
(+.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))
(+.f64 (+.f64 x (log.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (log.f64 x))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 x (log.f64 x)))
(+.f64 (/.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x x) x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) x) (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (log.f64 x)))))
(+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x)
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x x) x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) x) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (log.f64 x))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) x))) (/.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x x) x))) (-.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))))
(-.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (-.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))))
(fma.f64 #s(literal 1 binary64) x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (log.f64 x)))
(fma.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) (log.f64 x))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/16 binary64) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64)))) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (.f64 x #s(literal 1/2 binary64))))) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

eval61.0ms (1%)

Memory: -22.4MiB live, 92.7MiB allocated
Compiler: Compiled 9 236 to 752 computations (91.9% saved)

prune60.0ms (1%)

Memory

-2.6MiB live, 134.4MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	384	1	385
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	384	5	389

Accuracy

100.0%

Counts

389 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.8%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓	99.6%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓	98.7%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))

Compiler

Compiled 36 to 21 computations (41.7% saved)

simplify7.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))

Rules

68×	`lower-fma.f64`
68×	`lower-fma.f32`
46×	`lower-*.f32`
42×	`lower-*.f64`
40×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
0	18	50
1	37	50
2	47	50
3	74	50
4	76	50
5	80	50
6	85	50
0	85	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.7%)

Memory

10.4MiB live, 86.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	2.6%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64))))

Samples

28.0ms

256×

valid

Compiler

Compiled 29 to 15 computations (48.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 6.0ms (28% of total)

ival-log: 6.0ms (28% of total)

ival-div: 3.0ms (14% of total)

ival-neg: 3.0ms (14% of total)

ival-add: 2.0ms (9.3% of total)

ival-sub: 1.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

-30.6MiB live, 6.2MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x 1/2)
0.0ms	x	@	0	(* x (* x 1/2))
0.0ms	x	@	-inf	(* x 1/2)
0.0ms	x	@	inf	(* x (* x 1/2))
0.0ms	x	@	0	(* x 1/2)

simplify332.0ms (5.5%)

Memory

19.4MiB live, 480.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 302×	`lower-fma.f64`
9 302×	`lower-fma.f32`
3 400×	`lower-*.f64`
3 400×	`lower-*.f32`
1 510×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	328
1	181	316
2	433	309
3	1195	304
4	4365	298
0	8265	279

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite383.0ms (6.4%)

Memory

-12.6MiB live, 480.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 822×	`lower-fma.f64`
5 822×	`lower-fma.f32`
3 880×	`lower-*.f32`
3 876×	`lower-*.f64`
2 918×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
0	18	48
1	80	48
2	557	48
3	6703	48
0	8265	43

Stop Event

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

Counts

4 → 19

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: 9.9MiB live, 9.9MiB allocated
Compiler: Compiled 572 to 62 computations (89.2% saved)

prune9.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	64	8	72

Accuracy

100.0%

Counts

72 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.8%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓	99.6%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓	98.7%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
▶	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
▶	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))

Compiler

Compiled 64 to 37 computations (42.2% saved)

simplify52.0ms (0.9%)

Memory

-0.3MiB live, 40.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	1088	(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
✓	cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
✓	cost-diff	0	(*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	1088	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))

Rules

644×	`lower-fma.f64`
644×	`lower-fma.f32`
292×	`lower-*.f32`
284×	`lower-*.f64`
176×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	172
0	32	158
1	56	158
2	74	158
3	109	158
4	118	158
5	128	158
6	140	158
7	160	158
8	244	158
9	442	158
10	620	158
11	698	158
12	734	158
13	751	158
14	764	158
15	767	158
0	767	146

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize65.0ms (1.1%)

Memory

16.8MiB live, 131.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.8%	(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	2.6%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 1/2 binary64))
✓	accuracy	99.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
✓	accuracy	2.6%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.8%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	2.6%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))

Samples

38.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 7.0ms (27.3% of total)

ival-log: 6.0ms (23.4% of total)

ival-div: 5.0ms (19.5% of total)

ival-add: 4.0ms (15.6% of total)

ival-sub: 1.0ms (3.9% of total)

ival-neg: 1.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory

-39.9MiB live, 11.7MiB allocated

Counts

12 → 144

Calls

Call 1

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

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

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	0	(/ 1/2 (/ 1 x))
0.0ms	x	@	-inf	(neg (log (- (/ 1 x) 1)))
0.0ms	x	@	0	(* x x)
0.0ms	x	@	-inf	(* (* x x) 1/2)

simplify228.0ms (3.8%)

Memory

12.9MiB live, 361.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 302×	`lower-fma.f64`
9 302×	`lower-fma.f32`
3 400×	`lower-*.f64`
3 400×	`lower-*.f32`
1 510×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	984
1	181	948
2	439	927
3	1205	912
4	4346	894
0	8235	837

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite272.0ms (4.5%)

Memory

-1.2MiB live, 470.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 592×	`lower-fma.f64`
7 592×	`lower-fma.f32`
4 230×	`lower-*.f32`
4 222×	`lower-*.f64`
3 466×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	158
0	32	144
1	114	144
2	717	144
0	8295	129

Stop Event

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

Counts

12 → 178

Calls

Call 1

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

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

eval32.0ms (0.5%)

Memory: 31.9MiB live, 69.2MiB allocated
Compiler: Compiled 3 031 to 205 computations (93.2% saved)

prune25.0ms (0.4%)

Memory

8.7MiB live, 46.7MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	319	3	322
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	320	10	330

Accuracy

100.0%

Counts

330 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.8%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓	99.6%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓	98.7%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
✓	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
✓	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))

Compiler

Compiled 168 to 73 computations (56.5% saved)

regimes51.0ms (0.9%)

Memory

-15.1MiB live, 27.0MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Calls

5 calls:

35.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
4.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
100.0%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
100.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
100.0%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes47.0ms (0.8%)

Memory

-11.4MiB live, 27.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.8%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.8%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes17.0ms (0.3%)

Memory

24.1MiB live, 24.1MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))

Calls

5 calls:

3.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.6%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.6%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes27.0ms (0.5%)

Memory

-15.5MiB live, 23.0MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Calls

5 calls:

14.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms	x

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
98.7%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
98.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
98.7%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes36.0ms (0.6%)

Memory

-16.5MiB live, 22.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	x

Results

Accuracy	Segments	Branch
2.6%	1	`x`
2.6%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
2.6%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
2.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
2.6%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes11.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
2.6%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
2.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
2.6%	1	`(/.f64 #s(literal 1 binary64) x)`
2.6%	1	`x`
2.6%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify7.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
10×	`neg-mul-1_binary64`
8×	`unsub-neg_binary64`
8×	`+-commutative_binary64`
6×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	95
1	44	95
2	49	95
3	55	95
4	62	95
5	71	95

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.8s (30.1%)

Memory

-33.4MiB live, 457.4MiB allocated

Rules

9 672×	`lower-fma.f64`
9 672×	`lower-fma.f32`
7 592×	`lower-fma.f64`
7 592×	`lower-fma.f32`
5 822×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
0	18	48
1	80	48
2	557	48
3	6703	48
0	8265	43
0	25	158
0	32	144
1	114	144
2	717	144
0	8295	129
0	72	632
1	215	597
2	504	586
3	1978	563
4	6350	554
0	8292	516
0	75	313
1	190	292
2	397	290
3	962	280
4	1965	278
5	4210	278
6	5604	278
7	5777	278
8	5792	278
9	5792	278
10	5792	278
11	5967	278
12	5993	278
13	5993	278
0	5993	270

Stop Event

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

Compiler

Compiled 96 to 53 computations (44.8% saved)

preprocess39.0ms (0.6%)

Memory: 36.8MiB live, 115.7MiB allocated
Compiler: Compiled 98 to 48 computations (51% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
0	10	7
1	17	7
2	20	7
3	22	7
4	24	7
5	28	7
6	33	7
0	33	7

Iter	Nodes	Cost
0	25	172
0	32	158
1	56	158
2	74	158
3	109	158
4	118	158
5	128	158
6	140	158
7	160	158
8	244	158
9	442	158
10	620	158
11	698	158
12	734	158
13	751	158
14	764	158
15	767	158
0	767	146

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
0	10	7
1	17	7
2	20	7
3	22	7
4	24	7
5	28	7
6	33	7
0	33	7

Iter	Nodes	Cost
0	25	172
0	32	158
1	56	158
2	74	158
3	109	158
4	118	158
5	128	158
6	140	158
7	160	158
8	244	158
9	442	158
10	620	158
11	698	158
12	734	158
13	751	158
14	764	158
15	767	158
0	767	146

analyze2.0ms (0%)

sample672.0ms (11.2%)

preprocess15.0ms (0.3%)

explain83.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize36.0ms (0.6%)

series3.0ms (0.1%)

simplify316.0ms (5.3%)

rewrite370.0ms (6.2%)

eval51.0ms (0.8%)

prune54.0ms (0.9%)

simplify9.0ms (0.2%)

localize51.0ms (0.9%)

series66.0ms (1.1%)

simplify278.0ms (4.6%)

rewrite336.0ms (5.6%)

eval61.0ms (1%)

prune60.0ms (1%)

simplify7.0ms (0.1%)

localize39.0ms (0.7%)

series5.0ms (0.1%)

simplify332.0ms (5.5%)

rewrite383.0ms (6.4%)

eval6.0ms (0.1%)

prune9.0ms (0.1%)

simplify52.0ms (0.9%)

localize65.0ms (1.1%)

series27.0ms (0.4%)

simplify228.0ms (3.8%)

rewrite272.0ms (4.5%)

eval32.0ms (0.5%)

prune25.0ms (0.4%)

regimes51.0ms (0.9%)

regimes47.0ms (0.8%)

regimes17.0ms (0.3%)

regimes27.0ms (0.5%)

regimes36.0ms (0.6%)

regimes11.0ms (0.2%)

simplify7.0ms (0.1%)

soundness1.8s (30.1%)

preprocess39.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	15
1	21	13
2	39	13
3	62	13
4	74	13
5	83	13
6	91	13
7	100	13
8	103	13
0	6	7
0	10	7
1	17	7
2	20	7
3	22	7
4	24	7
5	28	7
6	33	7
0	33	7

Iter	Nodes	Cost
0	25	172
0	32	158
1	56	158
2	74	158
3	109	158
4	118	158
5	128	158
6	140	158
7	160	158
8	244	158
9	442	158
10	620	158
11	698	158
12	734	158
13	751	158
14	764	158
15	767	158
0	767	146