Metrics for neg log

analyze2.0ms (0%)

Memory

4.8MiB live, 4.8MiB 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)

sample697.0ms (7.6%)

Memory

33.1MiB live, 795.1MiB allocated

Samples

439.0ms	8 256×	0	valid
1.0ms	16×	0	invalid

Precisions

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

ival-log: 112.0ms (36.8% of total)

ival-div: 74.0ms (24.3% of total)

ival-neg: 64.0ms (21% of total)

ival-sub: 42.0ms (13.8% of total)

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

exact: 4.0ms (1.3% of total)

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

Bogosity

preprocess16.0ms (0.2%)

Memory

23.7MiB live, 23.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain77.0ms (0.8%)

Memory

6.0MiB live, 131.1MiB 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

33.0ms

512×

valid

Compiler

Compiled 66 to 28 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log: 7.0ms (39% of total)

ival-div: 4.0ms (22.3% of total)

ival-sub: 4.0ms (22.3% of total)

ival-neg: 2.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify25.0ms (0.3%)

Memory

-33.7MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.2%)

Memory

19.7MiB live, 19.7MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

14.0ms

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 (37.8% of total)

ival-div: 2.0ms (25.2% of total)

ival-sub: 1.0ms (12.6% of total)

ival-neg: 1.0ms (12.6% 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%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

simplify319.0ms (3.5%)

Memory

-4.0MiB live, 230.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

rewrite315.0ms (3.4%)

Memory

10.9MiB live, 375.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 345

Calls

Call 1

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

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

eval91.0ms (1%)

Memory: -15.7MiB live, 99.7MiB allocated
Compiler: Compiled 11 114 to 1 317 computations (88.2% saved)

prune58.0ms (0.6%)

Memory

26.0MiB live, 141.1MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	388	5	393
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	388	6	394

Accuracy

100.0%

Counts

394 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
▶	25.7%	(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
▶	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
▶	99.0%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
▶	98.5%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Compiler

Compiled 138 to 78 computations (43.5% saved)

simplify193.0ms (2.1%)

Memory

-18.2MiB live, 355.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x))) #s(literal -1 binary64))
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
✓	cost-diff	0	(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
✓	cost-diff	2176	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
✓	cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	(+.f64 x (log.f64 x))
✓	cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓	cost-diff	0	(log.f64 x)
✓	cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
✓	cost-diff	0	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
✓	cost-diff	0	(pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))
✓	cost-diff	0	(neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)))
✓	cost-diff	14464	(/.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))

Rules

4 414×	`lower-neg.f32`
4 410×	`lower-neg.f64`
3 972×	`lower-*.f32`
3 966×	`lower-*.f64`
2 120×	`lower-/.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	33	260
0	56	260
1	101	248
2	171	227
3	304	227
4	472	227
5	722	227
6	1842	203
7	2790	203
0	8676	203

Stop Event

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

Calls

Call 1

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

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

localize290.0ms (3.1%)

Memory

-8.4MiB live, 149.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	29.8%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
✓	accuracy	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(+.f64 x (log.f64 x))
✓	accuracy	99.0%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	98.5%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
✓	accuracy	100.0%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
✓	accuracy	99.2%	(pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))
✓	accuracy	99.2%	(/.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))

Samples

58.0ms

256×

valid

Compiler

Compiled 248 to 33 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-log: 12.0ms (28.3% of total)

ival-div: 8.0ms (18.9% of total)

ival-add: 8.0ms (18.9% of total)

ival-mult: 8.0ms (18.9% of total)

ival-neg: 3.0ms (7.1% of total)

ival-pow2: 2.0ms (4.7% of total)

ival-sub: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.7%)

Memory

15.5MiB live, 126.0MiB allocated

Counts

19 → 228

Calls

Call 1

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

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

57 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(log x)
18.0ms	x	@	-inf	(log x)
6.0ms	x	@	inf	(log x)
3.0ms	x	@	-inf	(/ (+ (/ 1 (* (* x x) (* x x))) -1) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 (* x x)))))
1.0ms	x	@	0	(/ (+ (/ 1 (* (* x x) (* x x))) -1) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 (* x x)))))

simplify420.0ms (4.6%)

Memory

2.6MiB live, 640.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 844×	`lower-fma.f64`
13 844×	`lower-fma.f32`
4 104×	`lower-*.f64`
4 104×	`lower-*.f32`
2 950×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	1859
1	670	1790
2	1724	1719
3	6773	1710
0	8067	1624

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 226

Calls

Call 1

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

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

rewrite573.0ms (6.2%)

Memory

-12.6MiB live, 623.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 640×	`lower-fma.f32`
5 636×	`lower-fma.f64`
4 648×	`lower-*.f32`
4 642×	`lower-*.f64`
4 368×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	214
0	56	204
1	230	183
2	1694	166
0	8922	154

Stop Event

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

Counts

19 → 595

Calls

Call 1

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

Outputs
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))) (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (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 0 binary64) (+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(neg.f64 (log.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal 1 binary64))))
(/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (neg.f64 (neg.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64))) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(*.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (sqrt.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(*.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (sqrt.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(*.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (/.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(*.f64 (/.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x))))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 3 binary64))) (fma.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 #s(literal 1 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.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) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (.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) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.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) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (-.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 #s(literal 1 binary64) (.f64 x x))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))

eval372.0ms (4%)

Memory: 0.8MiB live, 298.7MiB allocated
Compiler: Compiled 26 687 to 2 853 computations (89.3% saved)

prune125.0ms (1.4%)

Memory

18.9MiB live, 296.0MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	961	3	964
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	962	8	970

Accuracy

100.0%

Counts

970 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
▶	25.7%	(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) #s(approx ( (+ 1 (/ 1 x)) (+ 1 (/ 1 (* x x)))) (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x (*.f64 x x)))))))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓	99.0%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓	98.5%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶	2.3%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
▶	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))

Compiler

Compiled 92 to 50 computations (45.7% saved)

simplify303.0ms (3.3%)

Memory

-10.5MiB live, 351.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

9 266×	`lower-fma.f32`
9 262×	`lower-fma.f64`
4 430×	`lower-*.f32`
4 418×	`lower-*.f64`
1 838×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	321
0	54	298
1	109	282
2	200	282
3	404	282
4	791	282
5	1243	277
6	2942	277
7	4483	277
8	4926	277
9	5504	277
10	5921	277
11	6433	277
12	7371	277
0	8034	273

Stop Event

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

Calls

Call 1

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

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

localize101.0ms (1.1%)

Memory

13.1MiB live, 168.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	29.8%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) #s(approx ( (+ 1 (/ 1 x)) (+ 1 (/ 1 (* x x)))) (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x (*.f64 x x)))))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
✓	accuracy	2.3%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	accuracy	2.7%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))

Samples

59.0ms

256×

valid

Compiler

Compiled 219 to 34 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 12.0ms (28.5% of total)

ival-add: 9.0ms (21.4% of total)

ival-log: 9.0ms (21.4% of total)

ival-div: 8.0ms (19% of total)

ival-neg: 2.0ms (4.7% of total)

ival-sub: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

-22.2MiB live, 15.7MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

simplify252.0ms (2.7%)

Memory

24.9MiB live, 379.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 090×	`lower-fma.f64`
8 090×	`lower-fma.f32`
2 908×	`lower-*.f64`
2 908×	`lower-*.f32`
2 036×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1171
1	314	1126
2	722	1092
3	1910	1050
4	4829	1032
0	8156	979

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 167

Calls

Call 1

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

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

rewrite359.0ms (3.9%)

Memory

-14.5MiB live, 294.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 834×	`lower-*.f32`
4 822×	`lower-*.f64`
4 550×	`lower-/.f32`
4 544×	`lower-/.f64`
3 352×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	252
0	54	234
1	240	213
2	1893	205
0	8346	199

Stop Event

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

Counts

14 → 352

Calls

Call 1

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

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

eval140.0ms (1.5%)

Memory: 25.4MiB live, 97.2MiB allocated
Compiler: Compiled 17 209 to 1 996 computations (88.4% saved)

prune227.0ms (2.5%)

Memory

15.9MiB live, 135.2MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	619	5	624
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	619	13	632

Accuracy

100.0%

Counts

632 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
✓	25.7%	(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) #s(approx ( (+ 1 (/ 1 x)) (+ 1 (/ 1 (* x x)))) (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x (*.f64 x x)))))))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓	99.0%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓	98.5%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
✓	2.3%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
▶	1.2%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
▶	2.3%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
▶	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
▶	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
▶	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))))
✓	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))

Compiler

Compiled 292 to 152 computations (47.9% saved)

simplify450.0ms (4.9%)

Memory

-19.1MiB live, 418.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	640	(fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))
✓	cost-diff	640	(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))
✓	cost-diff	960	(fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	448	(-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))))
✓	cost-diff	256	(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
✓	cost-diff	576	(/.f64 x #s(literal -1 binary64))
✓	cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
✓	cost-diff	0	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))

Rules

10 140×	`lower-fma.f32`
10 132×	`lower-fma.f64`
3 358×	`lower-*.f32`
3 336×	`lower-*.f64`
2 024×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	607
0	83	505
1	161	473
2	352	463
3	846	453
4	2336	453
5	6381	453
0	8248	408

Stop Event

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

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 #s(literal 1/2 binary64) (/.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(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(/.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
(-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))
(fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))
x
(*.f64 x x)
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))
(.f64 x (.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)))
(-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))
(.f64 x (.f64 x (*.f64 x x)))
#s(literal 1/4 binary64)

Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 #s(literal 1/2 binary64) (.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(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
#s(literal 1/2 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
#s(literal 1/2 binary64)
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x x)
(/.f64 x #s(literal -1 binary64))
(neg.f64 x)
x
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 x)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/8 binary64))) x) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/8 binary64))) x) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/8 binary64))) x) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/8 binary64))) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
(-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) x))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) x)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) x))
(fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/8 binary64))) x))
x
(*.f64 x x)
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
(.f64 x (.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
(.f64 x (.f64 x (*.f64 x #s(literal 1/8 binary64))))
#s(literal 1/8 binary64)
(fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/4 binary64)))))
(.f64 x (.f64 x (*.f64 x x)))
#s(literal 1/4 binary64)

localize181.0ms (2%)

Memory

-11.0MiB live, 329.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))
✓	accuracy	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
✓	accuracy	36.6%	(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))
✓	accuracy	2.3%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))))
✓	accuracy	100.0%	(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
✓	accuracy	2.3%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))))
✓	accuracy	2.7%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
✓	accuracy	2.7%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
✓	accuracy	2.7%	#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))

Samples

83.0ms

256×

valid

Compiler

Compiled 384 to 45 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 22.0ms (36.3% of total)

ival-div: 19.0ms (31.4% of total)

ival-log: 8.0ms (13.2% of total)

ival-add: 6.0ms (9.9% of total)

ival-sub: 3.0ms (5% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series28.0ms (0.3%)

Memory

4.5MiB live, 39.3MiB allocated

Counts

28 → 336

Calls

Call 1

Inputs
#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 (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ ( x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (+ ( x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) (patch (.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 x #s(literal -1 binary64)) (patch (/.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) (patch (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) (patch (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ ( x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64))))) (patch #s(approx (+ ( x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))) (patch (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (patch (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)))) (patch (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (patch (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (patch (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))))) (patch #s(approx (+ ( x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)))))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ ( x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (patch (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #<representation binary64>) () ())

Outputs
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#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>) () ())) ())
#s(alt (pow x 2) (taylor inf 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) (* 1/3 (/ 1 (pow x 3))))) (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))) #<representation binary64>) () ())) ())
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#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/8 (pow x 6)) (taylor inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (patch (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (pow x 6)) (taylor inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (patch (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (pow x 6)) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (patch (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (pow x 6)) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (patch (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (pow x 6)) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (patch (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (pow x 6)) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (patch (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ())

Calls

84 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(* (+ (* (* x (* x x)) 1/8) 1) x)
1.0ms	x	@	inf	(/ (* (+ (* (* x (* x x)) 1/8) 1) x) (- (+ (* (* x x) 1/4) 1) (* x 1/2)))
1.0ms	x	@	0	(/ (* (+ (* (* x (* x x)) 1/8) 1) x) (- (+ (* (* x x) 1/4) 1) (* x 1/2)))
1.0ms	x	@	-inf	(/ (* (+ (* (* x (* x x)) 1/8) 1) x) (- (+ (* (* x x) 1/4) 1) (* x 1/2)))
0.0ms	x	@	inf	(/ (+ (* x (* x x)) (* (* x (* x x)) (* (* x (* x x)) 1/8))) (+ (* x (- x (* x (* x 1/2)))) (* (* x (* x (* x x))) 1/4)))

simplify580.0ms (6.3%)

Memory

16.6MiB live, 371.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 674×	`lower-fma.f64`
8 674×	`lower-fma.f32`
2 936×	`lower-*.f64`
2 936×	`lower-*.f32`
2 350×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	2338
1	325	2278
2	778	2164
3	2297	2094
4	5746	2094
0	8688	1940

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 332

Calls

Call 1

Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/2 x)))
(* (pow x 2) (+ 1 (* x (- (* 1/4 x) 1/2))))
(* (pow x 2) (+ 1 (* x (- (* 1/4 x) 1/2))))
(* 1/4 (pow x 4))
(* (pow x 4) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 4) (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 4) (- (+ 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/4 (pow x 4))
(* (pow x 4) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 4) (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* (pow x 4) (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (* 1/8 (pow x 3))))
(* (pow x 3) (+ 1 (* 1/8 (pow x 3))))
(* (pow x 3) (+ 1 (* 1/8 (pow x 3))))
(* 1/8 (pow x 6))
(* (pow x 6) (+ 1/8 (/ 1 (pow x 3))))
(* (pow x 6) (+ 1/8 (/ 1 (pow x 3))))
(* (pow x 6) (+ 1/8 (/ 1 (pow x 3))))
(* 1/8 (pow x 6))
(* (pow x 6) (+ 1/8 (/ 1 (pow x 3))))
(* (pow x 6) (+ 1/8 (/ 1 (pow x 3))))
(* (pow x 6) (+ 1/8 (/ 1 (pow x 3))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* 1/8 (pow x 3))))
(* x (+ 1 (* 1/8 (pow x 3))))
(* x (+ 1 (* 1/8 (pow x 3))))
(* 1/8 (pow x 4))
(* (pow x 4) (+ 1/8 (/ 1 (pow x 3))))
(* (pow x 4) (+ 1/8 (/ 1 (pow x 3))))
(* (pow x 4) (+ 1/8 (/ 1 (pow x 3))))
(* 1/8 (pow x 4))
(* (pow x 4) (+ 1/8 (/ 1 (pow x 3))))
(* (pow x 4) (+ 1/8 (/ 1 (pow x 3))))
(* (pow x 4) (+ 1/8 (/ 1 (pow x 3))))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* 1/8 (pow x 6))
(* 1/8 (pow x 6))
(* 1/8 (pow x 6))
(* 1/8 (pow x 6))
(* 1/8 (pow x 6))
(* 1/8 (pow x 6))
(* 1/8 (pow x 6))
(* 1/8 (pow x 6))
(* 1/8 (pow x 6))
(* 1/8 (pow x 6))
(* 1/8 (pow x 6))
(* 1/8 (pow x 6))

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

rewrite328.0ms (3.6%)

Memory

-1.9MiB live, 512.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 236×	`lower-fma.f32`
4 228×	`lower-fma.f64`
3 456×	`lower-*.f32`
3 436×	`lower-*.f64`
2 382×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	520
0	83	440
1	314	360
2	2390	358
0	8943	320

Stop Event

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

Counts

28 → 950

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x #s(literal -1 binary64))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))))
(-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (.f64 x #s(literal 1/2 binary64)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))
(fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))
(-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(.f64 x (.f64 x x))
(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))

Outputs
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(neg.f64 (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(neg.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 x #s(literal 1/2 binary64)) x)
(.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(neg.f64 (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
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eval298.0ms (3.2%)

Memory: -17.8MiB live, 340.3MiB allocated
Compiler: Compiled 47 104 to 2 806 computations (94% saved)

prune256.0ms (2.8%)

Memory

13.5MiB live, 328.7MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1 384	9	1 393
Fresh	0	0	0
Picked	5	0	5
Done	0	8	8
Total	1 389	17	1 406

Accuracy

100.0%

Counts

1 406 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
✓	25.7%	(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) #s(approx ( (+ 1 (/ 1 x)) (+ 1 (/ 1 (* x x)))) (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x (*.f64 x x)))))))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.1%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓	99.0%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓	98.5%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
✓	2.3%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
	5.3%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x #s(approx (- x ( x (* x 1/2))) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))))))
	4.3%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #s(approx (+ ( x (- x (* x (* x 1/2)))) (* (* x (* x (* x x))) 1/4)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (.f64 x (.f64 x x))))))))
	1.2%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #s(approx (+ ( x (- x (* x (* x 1/2)))) (* (* x (* x (* x x))) 1/4)) (*.f64 x x)))))
	1.2%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x) (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x)))))) (fma.f64 x x (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x x))))))))
	5.2%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))))
	14.4%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))))
	2.4%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) #s(literal 1 binary64)))))
	4.2%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
✓	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
	5.2%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))

Compiler

Compiled 712 to 225 computations (68.4% saved)

regimes39.0ms (0.4%)

Memory

17.4MiB live, 92.6MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) #s(literal 1 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #s(approx (+ ( x (- x (* x (* x 1/2)))) (* (* x (* x (* x x))) 1/4)) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #s(approx (+ ( x (- x (* x (* x 1/2)))) (* (* x (* x (* x x))) 1/4)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (.f64 x (.f64 x x))))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x #s(approx (- x ( x (* x 1/2))) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x) (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x)))))) (fma.f64 x x (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x x))))))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) #s(approx ( (+ 1 (/ 1 x)) (+ 1 (/ 1 (* x x)))) (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x (*.f64 x x)))))))
(neg.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) (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:

8.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
8.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
7.0ms	(/.f64 #s(literal 1 binary64) x)
7.0ms	x
7.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

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)

regimes50.0ms (0.5%)

Memory

-9.5MiB live, 70.0MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) #s(literal 1 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #s(approx (+ ( x (- x (* x (* x 1/2)))) (* (* x (* x (* x x))) 1/4)) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #s(approx (+ ( x (- x (* x (* x 1/2)))) (* (* x (* x (* x x))) 1/4)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (.f64 x (.f64 x x))))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x #s(approx (- x ( x (* x 1/2))) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x) (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x)))))) (fma.f64 x x (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x x))))))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))

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

Calls

5 calls:

23.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
7.0ms	(/.f64 #s(literal 1 binary64) x)
6.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
6.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
6.0ms	x

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)

regimes46.0ms (0.5%)

Memory

-7.6MiB live, 65.4MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) #s(literal 1 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #s(approx (+ ( x (- x (* x (* x 1/2)))) (* (* x (* x (* x x))) 1/4)) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #s(approx (+ ( x (- x (* x (* x 1/2)))) (* (* x (* x (* x x))) 1/4)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (.f64 x (.f64 x x))))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x #s(approx (- x ( x (* x 1/2))) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x) (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x)))))) (fma.f64 x x (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x x))))))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))

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

Calls

5 calls:

20.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
6.0ms	(/.f64 #s(literal 1 binary64) x)
6.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
6.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
6.0ms	x

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.0%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.0%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes39.0ms (0.4%)

Memory

-14.2MiB live, 79.2MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) #s(literal 1 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #s(approx (+ ( x (- x (* x (* x 1/2)))) (* (* x (* x (* x x))) 1/4)) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #s(approx (+ ( x (- x (* x (* x 1/2)))) (* (* x (* x (* x x))) 1/4)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (.f64 x (.f64 x x))))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x #s(approx (- x ( x (* x 1/2))) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x) (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x)))))) (fma.f64 x x (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x 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:

15.0ms	x
7.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
6.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
5.0ms	(/.f64 #s(literal 1 binary64) x)
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
98.5%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
98.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
98.5%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes31.0ms (0.3%)

Memory

29.2MiB live, 65.1MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) #s(literal 1 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #s(approx (+ ( x (- x (* x (* x 1/2)))) (* (* x (* x (* x x))) 1/4)) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #s(approx (+ ( x (- x (* x (* x 1/2)))) (* (* x (* x (* x x))) 1/4)) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (.f64 x (.f64 x x))))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x #s(approx (- x ( x (* x 1/2))) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) x) (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x)))))) (fma.f64 x x (.f64 x (.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x x))))))))

Outputs

#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ (* (* x x) 1/4) 1) (* x 1/2)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))))

Calls

5 calls:

9.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
5.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
5.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
5.0ms	(/.f64 #s(literal 1 binary64) x)
5.0ms	x

Results

Accuracy	Segments	Branch
14.4%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
14.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
14.4%	1	`(/.f64 #s(literal 1 binary64) x)`
14.4%	1	`x`
14.4%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes22.0ms (0.2%)

Memory

-15.3MiB live, 58.5MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) #s(literal 1 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))))

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

Calls

5 calls:

5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
5.0ms	x
3.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
5.2%	1	`x`
5.2%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
5.2%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
5.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
5.2%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes10.0ms (0.1%)

Memory

32.4MiB live, 32.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
4.2%	1	`x`
4.2%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
4.2%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
4.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
4.2%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes12.0ms (0.1%)

Memory

-19.1MiB live, 23.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	(/.f64 #s(literal 1 binary64) x)
1.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
1.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
2.7%	1	`x`
2.7%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
2.7%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
2.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
2.7%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify9.0ms (0.1%)

Memory

-17.4MiB live, 21.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
16×	`neg-mul-1_binary64`
12×	`unsub-neg_binary64`
12×	`+-commutative_binary64`
8×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	167
1	68	167
2	75	167
3	82	167
4	93	167
5	108	167

Stop Event

1×

saturated

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))

Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(approx (- (+ ( (* x x) 1/4) 1) (* x 1/2)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)))))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))))

soundness1.7s (18.6%)

Memory

10.4MiB live, 857.7MiB allocated

Rules

13 844×	`lower-fma.f64`
13 844×	`lower-fma.f32`
8 674×	`lower-fma.f64`
8 674×	`lower-fma.f32`
5 216×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	2338
1	325	2278
2	778	2164
3	2297	2094
4	5746	2094
0	8688	1940
0	53	520
0	83	440
1	314	360
2	2390	358
0	8943	320
0	75	313
1	190	292
2	397	290
3	962	280
4	1965	278
5	4210	278
6	5604	278
7	5777	278
8	5792	278
9	5792	278
10	5792	278
11	5967	278
12	5993	278
13	5993	278
0	5993	270
0	38	252
0	54	234
1	240	213
2	1893	205
0	8346	199
0	236	1859
1	670	1790
2	1724	1719
3	6773	1710
0	8067	1624

Stop Event

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

Compiler

Compiled 164 to 86 computations (47.6% saved)

preprocess67.0ms (0.7%)

Memory: -3.2MiB live, 154.8MiB allocated
Compiler: Compiled 152 to 66 computations (56.6% 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	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

analyze2.0ms (0%)

sample697.0ms (7.6%)

preprocess16.0ms (0.2%)

explain77.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify25.0ms (0.3%)

localize22.0ms (0.2%)

series3.0ms (0%)

simplify319.0ms (3.5%)

rewrite315.0ms (3.4%)

eval91.0ms (1%)

prune58.0ms (0.6%)

simplify193.0ms (2.1%)

localize290.0ms (3.1%)

series67.0ms (0.7%)

simplify420.0ms (4.6%)

rewrite573.0ms (6.2%)

eval372.0ms (4%)

prune125.0ms (1.4%)

simplify303.0ms (3.3%)

localize101.0ms (1.1%)

series10.0ms (0.1%)

simplify252.0ms (2.7%)

rewrite359.0ms (3.9%)

eval140.0ms (1.5%)

prune227.0ms (2.5%)

simplify450.0ms (4.9%)

localize181.0ms (2%)

series28.0ms (0.3%)

simplify580.0ms (6.3%)

rewrite328.0ms (3.6%)

eval298.0ms (3.2%)

prune256.0ms (2.8%)

regimes39.0ms (0.4%)

regimes50.0ms (0.5%)

regimes46.0ms (0.5%)

regimes39.0ms (0.4%)

regimes31.0ms (0.3%)

regimes22.0ms (0.2%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.7s (18.6%)

preprocess67.0ms (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