Metrics for neg log

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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)

sample674.0ms (12.6%)

Memory

32.1MiB live, 872.5MiB allocated

Samples

465.0ms	8 256×	0	valid
1.0ms	13×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-log: 118.0ms (38.8% of total)

ival-div: 89.0ms (29.3% of total)

ival-neg: 43.0ms (14.1% of total)

ival-sub: 40.0ms (13.2% of total)

ival-true: 6.0ms (2% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain101.0ms (1.9%)

Memory

3.2MiB live, 80.0MiB 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

65.0ms

512×

valid

Compiler

Compiled 82 to 41 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-log: 7.0ms (40.4% of total)

ival-div: 4.0ms (23.1% of total)

ival-sub: 3.0ms (17.3% of total)

ival-neg: 2.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.3%)

Memory

17.3MiB live, 17.3MiB 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))))

Compiler

Compiled 8 to 6 computations (25% saved)

eval14.0ms (0.3%)

Memory: -42.8MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)

simplify4.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
cost-diff	0	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
cost-diff	0	(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))))
(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

localize19.0ms (0.4%)

Memory

27.7MiB live, 27.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
accuracy	0	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
accuracy	0	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-log: 3.0ms (37.5% of total)

ival-div: 2.0ms (25% of total)

ival-sub: 1.0ms (12.5% of total)

ival-neg: 1.0ms (12.5% 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

4.0MiB live, 4.0MiB 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 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 (/ 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 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 (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 (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 -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 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 (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 (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 (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 -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

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))
1.0ms	x	@	-inf	((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))
0.0ms	x	@	inf	((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

Time

Variable

Point

Expression

1.0ms

((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

1.0ms

-inf

((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

0.0ms

inf

((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

simplify229.0ms (4.3%)

Memory

-11.6MiB live, 62.1MiB 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	968	280
4	1971	278
5	4221	278
6	5618	278
7	5789	278
8	5802	278
9	5802	278
10	5802	278
11	5977	278
12	6010	278
13	6010	278
0	6010	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 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)))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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))
(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))
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -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 -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
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

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

rewrite202.0ms (3.8%)

Memory

5.1MiB live, 191.9MiB allocated

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

eval115.0ms (2.2%)

Memory: -29.4MiB live, 115.5MiB allocated
Compiler: Compiled 11 114 to 1 314 computations (88.2% saved)

prune67.0ms (1.2%)

Memory

5.4MiB live, 162.7MiB 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))))
▶	99.3%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
▶	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
▶	97.9%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Compiler

Compiled 28 to 17 computations (39.3% saved)

simplify6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f64 x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
cost-diff	0	(log.f64 x)
cost-diff	0	(+.f64 (log.f64 x) x)
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
cost-diff	0	(log.f64 x)
cost-diff	0	#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	32	65
2	43	65
3	64	65
4	85	65
5	89	65
6	94	65
0	94	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 (log.f64 x) x))
(+.f64 (log.f64 x) x)
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#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 (log.f64 x) x))
(+.f64 (log.f64 x) x)
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 x)

localize41.0ms (0.8%)

Memory

-4.3MiB live, 78.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	0	(log.f64 x)
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
accuracy	0.42639180880475797	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
accuracy	0	(log.f64 x)
accuracy	0.01953125	(+.f64 (log.f64 x) x)
accuracy	0.5806177131007738	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
accuracy	0	(log.f64 x)
accuracy	1.3236628772082024	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Samples

32.0ms

256×

valid

Compiler

Compiled 53 to 15 computations (71.7% saved)

Precisions

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

ival-mult: 7.0ms (32.9% of total)

ival-log: 6.0ms (28.2% of total)

ival-add: 3.0ms (14.1% 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-assert: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

series99.0ms (1.9%)

Memory

2.2MiB live, 112.9MiB 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 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #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 (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 (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) 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 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) 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 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<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 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 (* -1 (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) 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 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) 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 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (taylor inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (taylor inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (taylor inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<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 -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 (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) 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 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) 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 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

47.0ms

((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))

26.0ms

inf

((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))

23.0ms

-inf

((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))

simplify515.0ms (9.6%)

Memory

18.8MiB live, 139.5MiB 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	503	586
3	1977	563
4	6337	554
0	8278	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)))
(log x)
(log x)
(log x)
(log 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)))
(log x)
(+ x (log x))
(+ x (log x))
(+ x (log 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)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 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 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 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))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) 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))
(* 1/2 (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 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* -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 -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -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))
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)))
(* -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))
(* 1/2 (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)
(* 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 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #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 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (log.f64 #s(literal -1 binary64))))
(* -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)
(* -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 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (log.f64 #s(literal -1 binary64))))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) x)
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) x)
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) 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 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (log.f64 #s(literal -1 binary64))))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #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 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) 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 (neg.f64 x) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 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 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) 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 (neg.f64 x) x)) (log.f64 #s(literal -1 binary64)))
x
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) 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 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) 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 (neg.f64 x) x)) (log.f64 #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))

rewrite200.0ms (3.8%)

Memory

-4.7MiB live, 200.7MiB allocated

Rules

6 146×	`lower-fma.f32`
6 142×	`lower-fma.f64`
4 244×	`lower-*.f64`
4 244×	`lower-*.f32`
3 308×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
0	20	56
1	85	56
2	617	56
3	7384	56
0	8908	53

Stop Event

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

Counts

7 → 256

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

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

eval99.0ms (1.9%)

Memory: -13.8MiB live, 144.2MiB allocated
Compiler: Compiled 9 050 to 733 computations (91.9% saved)

prune42.0ms (0.8%)

Memory

13.4MiB live, 100.7MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	385	1	386
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	385	5	390

Accuracy

100.0%

Counts

390 → 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))))
✓	99.3%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
✓	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	97.9%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Compiler

Compiled 36 to 21 computations (41.7% saved)

simplify22.0ms (0.4%)

Memory

-33.3MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x 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	32	50
2	44	50
3	56	50
4	79	50
5	83	50
6	88	50
0	88	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.6%)

Memory

15.8MiB live, 15.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.42639180880475797	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
accuracy	62.331018941446104	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Samples

25.0ms

256×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 6.0ms (32.4% of total)

ival-log: 6.0ms (32.4% of total)

ival-div: 2.0ms (10.8% of total)

ival-add: 2.0ms (10.8% of total)

ival-sub: 1.0ms (5.4% of total)

ival-neg: 1.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x))

1.0ms

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x))

1.0ms

inf

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x))

simplify271.0ms (5.1%)

Memory

-6.5MiB live, 185.4MiB 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	435	309
3	1194	304
4	4312	298
0	8209	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)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 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)
(* -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))
(* 1/2 (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))
(* 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)
(* -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))
(* 1/2 (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

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

rewrite161.0ms (3%)

Memory

7.0MiB live, 249.7MiB allocated

Rules

5 494×	`lower-fma.f64`
5 494×	`lower-fma.f32`
3 952×	`lower-*.f32`
3 948×	`lower-*.f64`
2 692×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
0	18	48
1	77	48
2	525	48
3	6183	48
0	8270	43

Stop Event

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

Counts

4 → 31

Calls

Call 1

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

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

eval7.0ms (0.1%)

Memory: 23.9MiB live, 23.9MiB allocated
Compiler: Compiled 692 to 93 computations (86.6% saved)

prune12.0ms (0.2%)

Memory

-5.1MiB live, 32.1MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	76	8	84

Accuracy

100.0%

Counts

84 → 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))))
✓	99.3%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
✓	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	97.9%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
▶	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64))))
✓	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
▶	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))

Compiler

Compiled 66 to 38 computations (42.4% saved)

simplify39.0ms (0.7%)

Memory

-11.3MiB live, 26.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
cost-diff	1088	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) x) x)
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal 1/2 binary64) x) 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	26	185
0	34	163
1	59	163
2	85	163
3	118	163
4	138	163
5	156	163
6	181	163
7	265	163
8	460	163
9	638	163
10	714	163
11	750	163
12	767	163
13	780	163
14	783	163
0	783	151

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (1.2%)

Memory

2.3MiB live, 116.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.15625	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
accuracy	0.42639180880475797	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
accuracy	62.331018941446104	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0.42639180880475797	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64))))
accuracy	0.9634718645542016	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	62.331018941446104	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)))
accuracy	0	(.f64 (.f64 #s(literal 1/2 binary64) x) x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.42639180880475797	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))
accuracy	62.331018941446104	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))

Samples

48.0ms

256×

valid

Compiler

Compiled 106 to 20 computations (81.1% saved)

Precisions

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

ival-mult: 19.0ms (51.1% of total)

ival-div: 7.0ms (18.8% of total)

ival-log: 6.0ms (16.1% of total)

ival-add: 2.0ms (5.4% of total)

ival-sub: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

12 → 144

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* 1/2 x) x) (* 1/2 x) (/ 1 (/ 1 (* x x))) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (/ 1 (/ 1 (* x x))) 1/2) (/ (* 1/2 x) (/ 1 x)) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (/ 1 (* x x)))

1.0ms

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* 1/2 x) x) (* 1/2 x) (/ 1 (/ 1 (* x x))) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (/ 1 (/ 1 (* x x))) 1/2) (/ (* 1/2 x) (/ 1 x)) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (/ 1 (* x x)))

1.0ms

inf

((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* 1/2 x) x) (* 1/2 x) (/ 1 (/ 1 (* x x))) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (/ 1 (/ 1 (* x x))) 1/2) (/ (* 1/2 x) (/ 1 x)) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (/ 1 (* x x)))

simplify151.0ms (2.8%)

Memory

-38.2MiB live, 257.3MiB 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	65	1008
1	182	972
2	434	951
3	1186	936
4	4356	918
0	8239	861

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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

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

rewrite177.0ms (3.3%)

Memory

34.6MiB live, 186.3MiB allocated

Rules

7 100×	`lower-fma.f64`
7 100×	`lower-fma.f32`
4 106×	`lower-*.f32`
4 098×	`lower-*.f64`
3 204×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	168
0	34	146
1	122	144
2	681	144
3	7452	144
0	8089	129

Stop Event

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

Counts

12 → 202

Calls

Call 1

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

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

eval39.0ms (0.7%)

Memory: 5.8MiB live, 79.3MiB allocated
Compiler: Compiled 3 711 to 336 computations (90.9% saved)

prune37.0ms (0.7%)

Memory

-22.9MiB live, 62.7MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	371	5	376
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	373	11	384

Accuracy

100.0%

Counts

384 → 11

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))))
✓	99.3%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
✓	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	97.9%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (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 (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (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 (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) x)))))
	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
✓	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
✓	2.6%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))

Compiler

Compiled 202 to 86 computations (57.4% saved)

regimes25.0ms (0.5%)

Memory

3.7MiB live, 41.6MiB allocated

Counts

13 → 1

Calls

Call 1

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

6.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
5.0ms	(/.f64 #s(literal 1 binary64) x)
5.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms	(-.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)

regimes24.0ms (0.4%)

Memory

-0.2MiB live, 37.7MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	(log.f64 (-.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	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
4.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.3%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.3%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes28.0ms (0.5%)

Memory

-13.8MiB live, 28.7MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	x
4.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.1%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.1%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes20.0ms (0.4%)

Memory

26.7MiB live, 26.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

4.0ms	(/.f64 #s(literal 1 binary64) x)
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 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
4.0ms	x

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
97.9%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
97.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
97.9%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes36.0ms (0.7%)

Memory

-3.2MiB live, 35.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

Calls

5 calls:

21.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	(-.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	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)

regimes14.0ms (0.3%)

Memory

-12.3MiB live, 24.6MiB 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 (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))

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

Calls

5 calls:

5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms	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)

simplify6.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB 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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))

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

soundness1.7s (31.4%)

Memory

-16.9MiB live, 543.9MiB allocated

Rules

9 672×	`lower-fma.f64`
9 672×	`lower-fma.f32`
7 100×	`lower-fma.f64`
7 100×	`lower-fma.f32`
5 494×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	168
0	34	146
1	122	144
2	681	144
3	7452	144
0	8089	129
0	72	632
1	215	597
2	503	586
3	1977	563
4	6337	554
0	8278	516
0	16	48
0	18	48
1	77	48
2	525	48
3	6183	48
0	8270	43
0	75	313
1	190	292
2	397	290
3	968	280
4	1971	278
5	4221	278
6	5618	278
7	5789	278
8	5802	278
9	5802	278
10	5802	278
11	5977	278
12	6010	278
13	6010	278
0	6010	270

Stop Event

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

Compiler

Compiled 102 to 54 computations (47.1% saved)

preprocess39.0ms (0.7%)

Memory: 23.2MiB live, 100.1MiB allocated
Compiler: Compiled 98 to 46 computations (53.1% 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	26	185
0	34	163
1	59	163
2	85	163
3	118	163
4	138	163
5	156	163
6	181	163
7	265	163
8	460	163
9	638	163
10	714	163
11	750	163
12	767	163
13	780	163
14	783	163
0	783	151

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	26	185
0	34	163
1	59	163
2	85	163
3	118	163
4	138	163
5	156	163
6	181	163
7	265	163
8	460	163
9	638	163
10	714	163
11	750	163
12	767	163
13	780	163
14	783	163
0	783	151

start0.0ms (0%)

analyze2.0ms (0%)

sample674.0ms (12.6%)

explain101.0ms (1.9%)

preprocess14.0ms (0.3%)

eval14.0ms (0.3%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize19.0ms (0.4%)

series3.0ms (0.1%)

simplify229.0ms (4.3%)

rewrite202.0ms (3.8%)

eval115.0ms (2.2%)

prune67.0ms (1.2%)

simplify6.0ms (0.1%)

localize41.0ms (0.8%)

series99.0ms (1.9%)

simplify515.0ms (9.6%)

rewrite200.0ms (3.8%)

eval99.0ms (1.9%)

prune42.0ms (0.8%)

simplify22.0ms (0.4%)

localize32.0ms (0.6%)

series4.0ms (0.1%)

simplify271.0ms (5.1%)

rewrite161.0ms (3%)

eval7.0ms (0.1%)

prune12.0ms (0.2%)

simplify39.0ms (0.7%)

localize64.0ms (1.2%)

series8.0ms (0.2%)

simplify151.0ms (2.8%)

rewrite177.0ms (3.3%)

eval39.0ms (0.7%)

prune37.0ms (0.7%)

regimes25.0ms (0.5%)

regimes24.0ms (0.4%)

regimes28.0ms (0.5%)

regimes20.0ms (0.4%)

regimes36.0ms (0.7%)

regimes14.0ms (0.3%)

simplify6.0ms (0.1%)

soundness1.7s (31.4%)

preprocess39.0ms (0.7%)

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	26	185
0	34	163
1	59	163
2	85	163
3	118	163
4	138	163
5	156	163
6	181	163
7	265	163
8	460	163
9	638	163
10	714	163
11	750	163
12	767	163
13	780	163
14	783	163
0	783	151