Metrics for neg log

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

3.1MiB live, 3.1MiB 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)

sample687.0ms (13.3%)

Memory

42.7MiB live, 839.4MiB allocated

Samples

465.0ms	8 256×	0	valid
1.0ms	19×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 290.0ms

ival-log: 111.0ms (38.3% of total)

ival-div: 79.0ms (27.2% of total)

ival-sub: 44.0ms (15.2% of total)

ival-neg: 40.0ms (13.8% of total)

ival-true: 7.0ms (2.4% of total)

exact: 5.0ms (1.7% of total)

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

Bogosity

explain83.0ms (1.6%)

Memory

-16.1MiB live, 67.6MiB 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

32.0ms

512×

valid

Compiler

Compiled 80 to 28 computations (65% saved)

Precisions

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

ival-div: 8.0ms (39.6% of total)

ival-log: 7.0ms (34.7% of total)

ival-sub: 3.0ms (14.9% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.3%)

Memory

24.6MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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 7 to 6 computations (14.3% saved)

simplify8.0ms (0.1%)

Memory

-31.0MiB live, 5.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.4%)

Memory

26.0MiB live, 26.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
accuracy	0	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
accuracy	0.00390625	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Samples

15.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

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

ival-log: 3.0ms (35.7% of total)

ival-div: 2.0ms (23.8% of total)

ival-sub: 1.0ms (11.9% of total)

ival-neg: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

0.0ms

inf

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

simplify217.0ms (4.2%)

Memory

7.2MiB live, 45.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	313
1	190	292
2	397	290
3	968	280
4	1971	278
5	4221	278
6	5618	278
7	5789	278
8	5802	278
9	5802	278
10	5802	278
11	5977	278
12	6010	278
13	6010	278
0	6010	270

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

rewrite249.0ms (4.8%)

Memory

-48.2MiB live, 171.9MiB allocated

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
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eval49.0ms (0.9%)

Memory: 2.4MiB live, 112.5MiB allocated
Compiler: Compiled 7 945 to 1 337 computations (83.2% saved)

prune7.0ms (0.1%)

Memory

29.4MiB live, 29.4MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	389	4	393
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	389	5	394

Accuracy

100.0%

Counts

394 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
▶	99.4%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
▶	99.2%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
▶	98.3%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Compiler

Compiled 37 to 31 computations (16.2% saved)

simplify47.0ms (0.9%)

Memory

-27.7MiB live, 22.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	121
0	36	121
1	56	121
2	73	121
3	101	121
4	136	121
5	168	121
6	206	121
7	252	121
8	322	121
9	506	121
10	655	121
11	812	121
12	1166	121
13	1242	121
14	1297	121
15	1313	121
16	1318	121
0	1318	121

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize100.0ms (1.9%)

Memory

22.5MiB live, 131.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy	0	(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))
accuracy	0.00390625	(log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
accuracy	29.529348725324407	(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy	0	(log.f64 x)
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
accuracy	0.3486894268147954	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
accuracy	0	(log.f64 x)
accuracy	0.01953125	(+.f64 (log.f64 x) x)
accuracy	0.5316096121221672	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
accuracy	0	(log.f64 x)
accuracy	1.0573493117935822	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))

Samples

68.0ms

256×

valid

Compiler

Compiled 209 to 43 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 24.0ms (46.5% of total)

ival-log: 9.0ms (17.4% of total)

ival-pow: 5.0ms (9.7% of total)

ival-div: 4.0ms (7.8% of total)

ival-add: 4.0ms (7.8% of total)

ival-sub: 4.0ms (7.8% of total)

ival-neg: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series92.0ms (1.8%)

Memory

-16.9MiB live, 107.1MiB allocated

Counts

11 → 132

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
32.0ms	x	@	-inf	((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (neg (log (/ (- (pow x -2) 1) (- (pow x -1) -1)))) (log (/ (- (pow x -2) 1) (- (pow x -1) -1))) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1))
31.0ms	x	@	0	((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (neg (log (/ (- (pow x -2) 1) (- (pow x -1) -1)))) (log (/ (- (pow x -2) 1) (- (pow x -1) -1))) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1))
25.0ms	x	@	inf	((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (neg (log (/ (- (pow x -2) 1) (- (pow x -1) -1)))) (log (/ (- (pow x -2) 1) (- (pow x -1) -1))) (/ (- (pow x -2) 1) (- (pow x -1) -1)) (- (pow x -2) 1))

Time

Variable

Point

Expression

32.0ms

-inf

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

31.0ms

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

25.0ms

inf

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

simplify160.0ms (3.1%)

Memory

19.0MiB live, 170.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1012
1	300	947
2	664	919
3	2537	860
4	6521	855
0	8010	811

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 130

Calls

Call 1

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

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

rewrite236.0ms (4.6%)

Memory

-4.7MiB live, 247.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	97
0	36	79
1	150	79
2	988	79
0	8696	73

Stop Event

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

Counts

11 → 563

Calls

Call 1

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

Outputs
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eval218.0ms (4.2%)

Memory: 14.8MiB live, 167.8MiB allocated
Compiler: Compiled 15 580 to 2 367 computations (84.8% saved)

prune86.0ms (1.7%)

Memory

-10.9MiB live, 62.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	727	2	729
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	728	6	734

Accuracy

100.0%

Counts

734 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.4%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
✓	99.2%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	98.3%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Compiler

Compiled 44 to 37 computations (15.9% saved)

simplify44.0ms (0.9%)

Memory

1.0MiB live, 38.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	106
0	34	106
1	55	106
2	74	106
3	98	106
4	148	106
5	192	106
6	248	106
7	331	106
8	458	106
9	679	106
10	737	106
11	846	106
12	1159	106
13	1232	106
14	1289	106
15	1305	106
16	1310	106
0	1310	102

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize69.0ms (1.3%)

Memory

-0.4MiB live, 117.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
accuracy	0	(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
accuracy	0.00390625	(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
accuracy	29.529348725324407	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.3486894268147954	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
accuracy	62.28207312824353	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Samples

54.0ms

256×

valid

Compiler

Compiled 164 to 41 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-add: 12.0ms (27.3% of total)

ival-log: 9.0ms (20.5% of total)

ival-div: 6.0ms (13.6% of total)

ival-mult: 6.0ms (13.6% of total)

ival-neg: 5.0ms (11.4% of total)

ival-sub: 3.0ms (6.8% of total)

ival-pow: 3.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

9 → 108

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify130.0ms (2.5%)

Memory

-5.1MiB live, 191.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	754
1	284	703
2	633	686
3	1697	660
4	5270	656
0	8273	631

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite170.0ms (3.3%)

Memory

-14.8MiB live, 261.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	94
0	34	94
1	143	79
2	1007	76
0	9555	68

Stop Event

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

Counts

9 → 445

Calls

Call 1

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

Outputs
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eval72.0ms (1.4%)

Memory: 22.8MiB live, 137.8MiB allocated
Compiler: Compiled 11 152 to 1 891 computations (83% saved)

prune20.0ms (0.4%)

Memory

10.1MiB live, 46.7MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	550	3	553
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	551	8	559

Accuracy

100.0%

Counts

559 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(neg.f64 (log.f64 (/.f64 #s(approx (- 1 (pow x -2)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.4%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
✓	99.2%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	98.3%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))))
✓	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
▶	2.7%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))

Compiler

Compiled 64 to 53 computations (17.2% saved)

simplify228.0ms (4.4%)

Memory

-44.7MiB live, 135.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- 1 (pow x -2)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
cost-diff	0	(/.f64 #s(approx (- 1 (pow x -2)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
cost-diff	0	(log.f64 (/.f64 #s(approx (- 1 (pow x -2)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
cost-diff	0	(neg.f64 (log.f64 (/.f64 #s(approx (- 1 (pow x -2)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
cost-diff	0	(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))))
cost-diff	1216	(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) x) x)
cost-diff	0	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))
cost-diff	0	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	217
0	47	208
1	77	208
2	133	205
3	246	205
4	636	205
5	976	205
6	1164	205
7	1392	205
8	1866	205
9	2393	205
10	3885	205
11	5850	205
12	6753	205
13	7032	205
14	7222	205
15	7299	205
16	7426	205
17	7806	205
0	8051	197

Stop Event

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

Calls

Call 1

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

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

localize125.0ms (2.4%)

Memory

-2.5MiB live, 118.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (- 1 (pow x -2)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
accuracy	0.00390625	(log.f64 (/.f64 #s(approx (- 1 (pow x -2)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
accuracy	0.11328125	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy	29.529348725324407	(/.f64 #s(approx (- 1 (pow x -2)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
accuracy	0.0078125	(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))
accuracy	0.1015625	(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
accuracy	0.3486894268147954	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))))
accuracy	62.28207312824353	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))
accuracy	0	(.f64 (.f64 #s(literal 1/2 binary64) x) x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.3486894268147954	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))
accuracy	62.28207312824353	#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x))

Samples

93.0ms

256×

valid

Compiler

Compiled 278 to 51 computations (81.7% saved)

Precisions

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

ival-div: 9.0ms (23.4% of total)

ival-log: 9.0ms (23.4% of total)

ival-mult: 6.0ms (15.6% of total)

ival-add: 4.0ms (10.4% of total)

ival-sub: 4.0ms (10.4% of total)

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

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

exact: 1.0ms (2.6% of total)

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

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

series10.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify118.0ms (2.3%)

Memory

-7.1MiB live, 147.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1085
1	268	1022
2	610	1008
3	1647	966
4	5142	960
0	8238	918

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite114.0ms (2.2%)

Memory

13.6MiB live, 200.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	186
0	47	167
1	188	163
2	1150	163
0	9815	150

Stop Event

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

Counts

13 → 275

Calls

Call 1

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

Outputs
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eval165.0ms (3.2%)

Memory: 2.2MiB live, 103.5MiB allocated
Compiler: Compiled 6 504 to 1 073 computations (83.5% saved)

prune33.0ms (0.6%)

Memory

-7.3MiB live, 68.3MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	427	4	431
Fresh	0	0	0
Picked	3	0	3
Done	1	4	5
Total	431	8	439

Accuracy

100.0%

Counts

439 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(neg.f64 (log.f64 (/.f64 #s(approx (- 1 (pow x -2)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	99.4%	#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
✓	99.2%	#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
✓	98.3%	#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
	4.2%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))) x)))
	4.2%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
	4.2%	#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 x #s(literal -1/2 binary64)) x)))

Compiler

Compiled 196 to 121 computations (38.3% saved)

regimes25.0ms (0.5%)

Memory

1.7MiB live, 40.0MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes35.0ms (0.7%)

Memory

-19.0MiB live, 25.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.4%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.4%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes17.0ms (0.3%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.2%	1	`(/.f64 #s(literal 1 binary64) x)`
99.2%	1	`x`
99.2%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes37.0ms (0.7%)

Memory

-16.5MiB live, 22.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

24.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	x

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
98.3%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
98.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
98.3%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes14.0ms (0.3%)

Memory

25.2MiB live, 25.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms	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 22 to 19 computations (13.6% saved)

regimes9.0ms (0.2%)

Memory

-20.4MiB live, 17.1MiB 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 (+ (* (+ (* 1/2 x) 1) x) (log x)) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))

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

Calls

5 calls:

3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
1.0ms	(neg.f64 (log.f64 (-.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	(/.f64 #s(literal 1 binary64) x)
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 22 to 19 computations (13.6% saved)

simplify24.0ms (0.5%)

Memory

6.8MiB live, 44.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	93
1	45	93
2	50	93
3	56	93
4	63	93
5	72	93

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.4s (26.7%)

Memory

0.8MiB live, 430.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1012
1	300	947
2	664	919
3	2537	860
4	6521	855
0	8010	811
0	75	313
1	190	292
2	397	290
3	968	280
4	1971	278
5	4221	278
6	5618	278
7	5789	278
8	5802	278
9	5802	278
10	5802	278
11	5977	278
12	6010	278
13	6010	278
0	6010	270
0	34	186
0	47	167
1	188	163
2	1150	163
0	9815	150
0	25	94
0	34	94
1	143	79
2	1007	76
0	9555	68

Stop Event

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

Compiler

Compiled 82 to 60 computations (26.8% saved)

preprocess39.0ms (0.8%)

Memory: 21.1MiB live, 59.4MiB allocated
Compiler: Compiled 90 to 58 computations (35.6% 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

start0.0ms (0%)

analyze2.0ms (0%)

sample687.0ms (13.3%)

explain83.0ms (1.6%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize21.0ms (0.4%)

series3.0ms (0.1%)

simplify217.0ms (4.2%)

rewrite249.0ms (4.8%)

eval49.0ms (0.9%)

prune7.0ms (0.1%)

simplify47.0ms (0.9%)

localize100.0ms (1.9%)

series92.0ms (1.8%)

simplify160.0ms (3.1%)

rewrite236.0ms (4.6%)

eval218.0ms (4.2%)

prune86.0ms (1.7%)

simplify44.0ms (0.9%)

localize69.0ms (1.3%)

series7.0ms (0.1%)

simplify130.0ms (2.5%)

rewrite170.0ms (3.3%)

eval72.0ms (1.4%)

prune20.0ms (0.4%)

simplify228.0ms (4.4%)

localize125.0ms (2.4%)

series10.0ms (0.2%)

simplify118.0ms (2.3%)

rewrite114.0ms (2.2%)

eval165.0ms (3.2%)

prune33.0ms (0.6%)

regimes25.0ms (0.5%)

regimes35.0ms (0.7%)

regimes17.0ms (0.3%)

regimes37.0ms (0.7%)

regimes14.0ms (0.3%)

regimes9.0ms (0.2%)

simplify24.0ms (0.5%)

soundness1.4s (26.7%)

preprocess39.0ms (0.8%)

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