Metrics for qlog (example 3.10)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
25%	12.5%	37.5%	50%	0%	0%	0%	3
62.5%	31.2%	18.7%	50%	0%	0%	0%	4
81.3%	40.6%	9.4%	50%	0%	0%	0%	5
90.6%	45.3%	4.7%	50%	0%	0%	0%	6
95.3%	47.6%	2.3%	50%	0%	0%	0%	7
97.7%	48.8%	1.2%	50%	0%	0%	0%	8
98.8%	49.4%	0.6%	50%	0%	0%	0%	9
99.4%	49.7%	0.3%	50%	0%	0%	0%	10
99.7%	49.8%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0.1%	50%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample2.6s (25.5%)

Memory

-124.1MiB live, 2 536.2MiB allocated

Samples

1.2s	3 085×	2	valid
915.0ms	4 811×	1	valid
24.0ms	360×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-log: 1.2s (66.1% of total)

adjust: 173.0ms (9.5% of total)

ival-div: 141.0ms (7.8% of total)

ival-sub: 135.0ms (7.5% of total)

ival-fabs: 69.0ms (3.8% of total)

ival-log1p: 54.0ms (3% of total)

ival-<=: 32.0ms (1.8% of total)

exact: 6.0ms (0.3% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess17.0ms (0.2%)

Memory

31.8MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`sub-neg`
32×	`lower-+.f32`
30×	`lower-+.f64`
22×	`lower--.f32`
20×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
0	7	9
0	12	9
1	17	9
2	21	9
3	26	9
4	33	9
5	41	9
6	51	9
7	65	9
8	69	9
0	69	6

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

explain191.0ms (1.8%)

Memory

-4.4MiB live, 312.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
255	-	-	`(log.f64 (-.f64 #s(literal 1 binary64) x))`
0	-	-	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`
0	-	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) x))`	sensitivity	255	0
`log.f64`	`(log.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	255	0

Confusion

	Predicted +	Predicted -
+	243	1
-	12	0

Precision

0.9529411764705882

Recall

0.9959016393442623

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	243	0	1
-	12	0	0

Precision?

0.9529411764705882

Recall?

0.9959016393442623

Freqs

test

number	freq
0	1
2	255

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

72.0ms	204×	2	valid
53.0ms	282×	1	valid
2.0ms	26×	0	valid

Compiler

Compiled 74 to 32 computations (56.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-log: 65.0ms (62.7% of total)

adjust: 14.0ms (13.5% of total)

ival-div: 10.0ms (9.6% of total)

ival-sub: 7.0ms (6.7% of total)

ival-add: 3.0ms (2.9% of total)

ival-log1p: 3.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.8%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify6.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB 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 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	64	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	192	(log.f64 (+.f64 #s(literal 1 binary64) x))

Rules

32×	`lower-+.f32`
30×	`lower-+.f64`
22×	`lower--.f32`
20×	`lower--.f64`
16×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	12	25
1	17	25
2	21	25
3	26	25
4	33	25
5	41	25
6	51	25
7	65	25
8	69	25
0	69	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(+.f64 #s(literal 1 binary64) x)

localize74.0ms (0.7%)

Memory

-32.0MiB live, 83.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	9.1%	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	accuracy	9.1%	(log.f64 (-.f64 #s(literal 1 binary64) x))

Samples

34.0ms	102×	2	valid
26.0ms	141×	1	valid
1.0ms	13×	0	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-log: 30.0ms (60.2% of total)

adjust: 7.0ms (14.1% of total)

ival-sub: 5.0ms (10% of total)

ival-div: 4.0ms (8% of total)

ival-log1p: 2.0ms (4% of total)

ival-add: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ (log (- 1 x)) (log (+ 1 x)))
3.0ms	x	@	inf	(/ (log (- 1 x)) (log (+ 1 x)))
1.0ms	x	@	0	(/ (log (- 1 x)) (log (+ 1 x)))
1.0ms	x	@	-inf	(log (+ 1 x))
1.0ms	x	@	0	(log (+ 1 x))

simplify387.0ms (3.7%)

Memory

29.3MiB live, 452.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 270×	`lower-fma.f64`
12 270×	`lower-fma.f32`
4 396×	`lower-+.f64`
4 396×	`lower-+.f32`
3 574×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	1122
1	658	1000
2	2012	927
0	8297	900

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 57

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

Outputs
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(+.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 x)))) (+.f64 (+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x x)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (.f64 (.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 x x)))) (-.f64 (+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (+.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))) (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (.f64 x (.f64 x x))) (fma.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+.f64 (-.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) x) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

rewrite249.0ms (2.4%)

Memory

-3.0MiB live, 315.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 056×	`lower-*.f64`
3 056×	`lower-*.f32`
2 824×	`lower-fma.f64`
2 824×	`lower-fma.f32`
2 298×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	23
1	41	23
2	245	23
3	2167	23
0	10440	15

Stop Event

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

Counts

5 → 842

Calls

Call 1

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

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

eval106.0ms (1%)

Memory: -28.2MiB live, 146.8MiB allocated
Compiler: Compiled 28 479 to 2 474 computations (91.3% saved)

prune116.0ms (1.1%)

Memory

15.0MiB live, 181.5MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	891	8	899
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	892	8	900

Accuracy

100.0%

Counts

900 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.6%	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶	6.8%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
▶	6.1%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
	5.4%	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶	99.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
▶	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
	99.3%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
▶	97.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 160 to 106 computations (33.8% saved)

simplify418.0ms (4%)

Memory

-11.5MiB live, 389.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	64	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	192	(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	1088	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓	cost-diff	64	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))

Rules

19 606×	`lower-fma.f32`
19 594×	`lower-fma.f64`
2 884×	`lower-+.f32`
2 882×	`lower-+.f64`
2 090×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	148
0	46	134
1	81	134
2	139	131
3	229	129
4	379	129
5	805	129
6	2854	129
7	7270	129
0	8103	122

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log1p.f64 x)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 x #s(literal -1 binary64))

Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log1p.f64 x)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(log1p.f64 x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 x #s(literal -1 binary64))

localize206.0ms (2%)

Memory

-6.2MiB live, 266.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	9.1%	(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	9.1%	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓	accuracy	9.1%	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
✓	accuracy	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
✓	accuracy	99.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))

Samples

90.0ms	103×	2	valid
68.0ms	140×	1	valid
6.0ms	13×	0	valid

Compiler

Compiled 152 to 27 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-log: 59.0ms (45.8% of total)

adjust: 22.0ms (17.1% of total)

ival-div: 14.0ms (10.9% of total)

ival-mult: 12.0ms (9.3% of total)

ival-add: 11.0ms (8.5% of total)

ival-sub: 4.0ms (3.1% of total)

const: 4.0ms (3.1% of total)

ival-log1p: 2.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

28.1MiB live, 28.1MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))>
#<alt (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))>
#<alt (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))>
#<alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))>
#<alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))>
#<alt (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))>
#<alt (log.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (log1p.f64 x)>
#<alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))>
#<alt (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))>
#<alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))>

Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt -1/2>
#<alt (- (* -5/12 x) 1/2)>
#<alt (- (* -5/12 x) 1/2)>
#<alt (- (* -5/12 x) 1/2)>
#<alt (* -5/12 x)>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 x)>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* -1/2 x) 1)>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
1.0ms	x	@	inf	(+ (* x (+ (* x -1/2) -1)) -1)
1.0ms	x	@	-inf	(/ (+ (* x x) -1) (+ x -1))
1.0ms	x	@	-inf	(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
1.0ms	x	@	inf	(/ (+ (* x x) -1) (+ x -1))

simplify678.0ms (6.5%)

Memory

-27.4MiB live, 723.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 506×	`lower-fma.f64`
15 506×	`lower-fma.f32`
4 726×	`lower-+.f64`
4 726×	`lower-+.f32`
3 822×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	4806
1	800	4297
2	2648	3950
0	8161	3822

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 176

Calls

Call 1

Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
-1/2
(- (* -5/12 x) 1/2)
(- (* -5/12 x) 1/2)
(- (* -5/12 x) 1/2)
(* -5/12 x)
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 x)
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
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(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(+.f64 (+.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x x)))) (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))))) (.f64 x (.f64 x x)))) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))))))) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) x)) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) x) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))

rewrite373.0ms (3.6%)

Memory

3.5MiB live, 327.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 342×	`lower-/.f32`
4 338×	`lower-/.f64`
4 054×	`lower-fma.f32`
4 042×	`lower-fma.f64`
3 194×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	121
0	46	107
1	195	102
2	1476	102
0	8411	96

Stop Event

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

Counts

15 → 652

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(-.f64 #s(literal 1 binary64) x)
(log1p.f64 x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))

Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))) (neg.f64 x))
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x (-.f64 #s(literal -1 binary64) x))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) (neg.f64 x))))) #s(literal -1 binary64))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x x))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)) #s(literal -1 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (neg.f64 x)))) #s(literal -1 binary64))
(fma.f64 (.f64 x (fma.f64 x (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (neg.f64 x)))) #s(literal -1 binary64))
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(-.f64 (/.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) #s(literal 1 binary64)) (/.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)) #s(literal 0 binary64))
(fma.f64 (log1p.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 0 binary64))
(neg.f64 (neg.f64 (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64)))))) (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (log1p.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))) (.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x))) (fma.f64 (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (.f64 x x) x)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (neg.f64 x))) (log1p.f64 (.f64 x (neg.f64 x))) (fma.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)) (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))) (-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (neg.f64 (log1p.f64 x)))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x)))) (.f64 (log1p.f64 (-.f64 (.f64 x x) x)) (log1p.f64 (-.f64 (.f64 x x) x)))) (+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) (log1p.f64 (.f64 x (neg.f64 x)))) (.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(log1p.f64 x)
(log1p.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)))
(*.f64 (log1p.f64 x) #s(literal 1 binary64))
(.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))))))
(.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (.f64 x (.f64 x x)))) (log1p.f64 x)) (/.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(*.f64 (log1p.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal -1/2 binary64)))

eval118.0ms (1.1%)

Memory: 34.5MiB live, 187.0MiB allocated
Compiler: Compiled 26 174 to 2 489 computations (90.5% saved)

prune105.0ms (1%)

Memory

-6.2MiB live, 193.7MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	983	5	988
Fresh	3	0	3
Picked	2	3	5
Done	0	0	0
Total	988	8	996

Accuracy

100.0%

Counts

996 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.7%	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
▶	5.3%	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
▶	99.3%	#s(approx (/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1)))) (-.f64 #s(literal -1 binary64) x))
▶	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
✓	99.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	97.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 150 to 92 computations (38.7% saved)

simplify369.0ms (3.6%)

Memory

-12.0MiB live, 439.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓	cost-diff	0	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	192	(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	1088	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓	cost-diff	0	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
✓	cost-diff	128	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	#s(approx (/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1)))) (-.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(log1p.f64 (neg.f64 x))
✓	cost-diff	0	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Rules

15 338×	`lower-fma.f32`
15 328×	`lower-fma.f64`
2 926×	`lower-*.f32`
2 922×	`lower-*.f64`
2 062×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	253
0	58	233
1	100	233
2	184	227
3	363	221
4	705	221
5	1368	221
6	3979	221
7	7973	221
0	8384	219

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)
#s(approx (/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1)))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x))
(*.f64 x x)
x
#s(literal -1/2 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log1p.f64 x)
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(+.f64 x #s(literal -1 binary64))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)
#s(approx (/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1)))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1)))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log1p.f64 x)
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(log1p.f64 x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(+.f64 x #s(literal -1 binary64))

localize288.0ms (2.8%)

Memory

13.2MiB live, 324.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	99.8%	#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓	accuracy	9.1%	(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
✓	accuracy	100.0%	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
✓	accuracy	99.8%	#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.3%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x))
✓	accuracy	99.3%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) x)
✓	accuracy	99.3%	#s(approx (/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1)))) (-.f64 #s(literal -1 binary64) x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(log1p.f64 (neg.f64 x))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Samples

160.0ms	103×	2	valid
81.0ms	140×	1	valid
3.0ms	13×	0	valid

Compiler

Compiled 228 to 31 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-log: 79.0ms (38.3% of total)

adjust: 52.0ms (25.2% of total)

ival-sub: 20.0ms (9.7% of total)

ival-mult: 15.0ms (7.3% of total)

ival-add: 14.0ms (6.8% of total)

ival-div: 13.0ms (6.3% of total)

const: 7.0ms (3.4% of total)

ival-log1p: 3.0ms (1.5% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series30.0ms (0.3%)

Memory

-41.2MiB live, 53.2MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))>
#<alt (log1p.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (log1p.f64 x)>
#<alt #s(approx (/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1)))) (-.f64 #s(literal -1 binary64) x))>
#<alt (-.f64 #s(literal -1 binary64) x)>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x))>
#<alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))>
#<alt #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))>
#<alt (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))>
#<alt (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))>
#<alt (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))>
#<alt (/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))>
#<alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))>

Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
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#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt 1>
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#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
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#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
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#<alt -1/3>
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#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>

Calls

51 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1))))
1.0ms	x	@	-inf	(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
1.0ms	x	@	inf	(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
1.0ms	x	@	-inf	(/ (+ (* x x) -1) (+ x -1))
0.0ms	x	@	inf	(/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1))))

simplify599.0ms (5.8%)

Memory

23.7MiB live, 570.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 138×	`lower-fma.f64`
14 138×	`lower-fma.f32`
4 854×	`lower-+.f64`
4 854×	`lower-+.f32`
3 888×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	262	4968
1	811	4468
2	2668	4109
0	8214	3984

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 200

Calls

Call 1

Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
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(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
-1/3
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))

Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
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(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
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(* -1 x)
(neg.f64 x)
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(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
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(* -1 x)
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x
(* x (+ 1 (* -1/2 x)))
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(* -1 (log (/ 1 x)))
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-1
#s(literal -1 binary64)
(- (* -1 x) 1)
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(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x)))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* x (- (* -1/3 x) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(* -1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(.f64 (.f64 x (neg.f64 x)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(.f64 (.f64 x x) (fma.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x) (log.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) (neg.f64 (log.f64 (neg.f64 x))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(+.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(+.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (log.f64 x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x x))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (.f64 x x))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (*.f64 x x))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (log.f64 x))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (log.f64 x)) (.f64 x (.f64 x x))))) (-.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))) (.f64 x (.f64 x x)))) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (fma.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) x)) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) x) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
-1/3
#s(literal -1/3 binary64)
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))

rewrite310.0ms (3%)

Memory

17.9MiB live, 374.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 714×	`lower-fma.f32`
4 704×	`lower-fma.f64`
3 934×	`lower-/.f32`
3 928×	`lower-/.f64`
3 458×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	168
0	58	151
1	241	139
2	1770	130
0	8709	130

Stop Event

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

Counts

17 → 798

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(log1p.f64 x)
#s(approx (/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1)))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 x x)
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log1p.f64 x)) (/.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log1p.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(-.f64 (/.f64 (/.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log1p.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log1p.f64 x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 x)))
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(/.f64 (log1p.f64 x) (log1p.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (*.f64 (log1p.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal -1 binary64))
(/.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (log1p.f64 x))
(/.f64 (-.f64 (.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log1p.f64 x)) (.f64 (log1p.f64 x) (log.f64 (+.f64 x #s(literal -1 binary64))))) (*.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) (neg.f64 (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log1p.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log1p.f64 x)) (/.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log1p.f64 x)) (fma.f64 (/.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log1p.f64 x)) (/.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log1p.f64 x)) (*.f64 (/.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log1p.f64 x)) (/.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log1p.f64 x))))))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal -1 binary64))
(*.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 #s(literal -1 binary64) (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 (log1p.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (log1p.f64 x) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(+.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) (log.f64 (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (log.f64 (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (log.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(-.f64 (log.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (log.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64))) (log.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (log.f64 (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 (log.f64 (.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (log.f64 (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64)))))) (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))) (.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (neg.f64 x))) (log1p.f64 (.f64 x (neg.f64 x))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (.f64 x x))) (fma.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 (fma.f64 x x x)) (.f64 (log1p.f64 (.f64 x (*.f64 x x))) (log1p.f64 (fma.f64 x x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))))))
(log1p.f64 x)
(log1p.f64 (neg.f64 x))
(log1p.f64 (neg.f64 (neg.f64 x)))
(log1p.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)))
(.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))))))
(.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
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(neg.f64 (/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (neg.f64 (log1p.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log1p.f64 x) #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log1p.f64 x) #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
(/.f64 (neg.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (neg.f64 (log1p.f64 x)))
(/.f64 (neg.f64 (neg.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) (log1p.f64 x))
(/.f64 (.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (log1p.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))) (neg.f64 (log1p.f64 x)))
(/.f64 (neg.f64 (.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (log1p.f64 x) #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
(.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(.f64 (neg.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (log1p.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(.f64 (neg.f64 (neg.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(.f64 (.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal -1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 x #s(literal 1/12 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (.f64 x #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))

eval196.0ms (1.9%)

Memory: -1.1MiB live, 259.0MiB allocated
Compiler: Compiled 40 208 to 2 711 computations (93.3% saved)

prune144.0ms (1.4%)

Memory

7.4MiB live, 259.2MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 375	1	1 376
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	1 377	7	1 384

Accuracy

100.0%

Counts

1 384 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.8%	(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (/ (+ ( x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
✓	99.3%	#s(approx (/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1)))) (-.f64 #s(literal -1 binary64) x))
✓	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
✓	99.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	97.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 74 to 43 computations (41.9% saved)

simplify334.0ms (3.2%)

Memory

24.4MiB live, 448.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓	cost-diff	#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓	cost-diff	(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (/ (+ ( x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))

Rules

16 074×	`lower-fma.f32`
16 062×	`lower-fma.f64`
2 766×	`lower-*.f32`
2 762×	`lower-*.f64`
2 444×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	146
0	39	146
1	90	146
2	225	138
3	470	134
4	818	134
5	1353	134
6	3299	134
7	7062	134
0	8017	128

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (/ (+ ( x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (log (/ (+ (* x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(*.f64 x x)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

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

localize328.0ms (3.2%)

Memory

-34.7MiB live, 178.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (/ (+ ( x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
✓	accuracy	99.8%	#s(approx (log (/ (+ (* x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))
✓	accuracy	99.8%	#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))

Samples

165.0ms	103×	2	valid
98.0ms	140×	1	valid
3.0ms	13×	0	valid

Compiler

Compiled 111 to 29 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-log: 132.0ms (57% of total)

ival-add: 34.0ms (14.7% of total)

adjust: 20.0ms (8.6% of total)

ival-mult: 19.0ms (8.2% of total)

const: 13.0ms (5.6% of total)

ival-div: 9.0ms (3.9% of total)

ival-sub: 4.0ms (1.7% of total)

exact: 1.0ms (0.4% of total)

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

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

series6.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (/ (+ ( x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))>
#<alt #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))>
#<alt (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))>
#<alt #s(approx (log (/ (+ (* x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))>

Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1))))
1.0ms	x	@	inf	(/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1))))
0.0ms	x	@	-inf	(/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1))))
0.0ms	x	@	-inf	(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
0.0ms	x	@	inf	(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))

simplify611.0ms (5.9%)

Memory

-7.3MiB live, 464.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 096×	`lower-fma.f64`
14 096×	`lower-fma.f32`
5 026×	`lower-+.f64`
5 026×	`lower-+.f32`
4 212×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	1312
1	760	1190
2	2483	1108
0	8508	1069

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))

Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(+.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
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(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
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(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
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(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (+.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) x))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x)))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(- (* x (- (* -1/3 x) 1/2)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(* -1/4 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/4 binary64))))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/4 binary64))))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(.f64 (.f64 x x) (neg.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 binary64)))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (+.f64 (log.f64 x) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x))

rewrite273.0ms (2.6%)

Memory

45.6MiB live, 393.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 488×	`lower-fma.f32`
4 476×	`lower-fma.f64`
4 390×	`lower-/.f32`
4 388×	`lower-/.f64`
3 522×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	103
0	39	103
1	208	91
2	1716	91
0	8777	85

Stop Event

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

Counts

5 → 121

Calls

Call 1

Inputs
(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (/ (+ ( x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
#s(approx (log (/ (+ (* x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x))

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

eval26.0ms (0.3%)

Memory: -1.2MiB live, 35.6MiB allocated
Compiler: Compiled 7 950 to 664 computations (91.6% saved)

prune29.0ms (0.3%)

Memory

8.5MiB live, 46.3MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	178	9	187

Accuracy

100.0%

Counts

187 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.8%	(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (/ (+ ( x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
	99.8%	(/.f64 #s(approx (log (- 1 x)) (.f64 x (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) #s(approx (log (/ (+ (* x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (/ (+ (* x x) -1) (+ x -1))) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) x)) #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
✓	99.3%	#s(approx (/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1)))) (-.f64 #s(literal -1 binary64) x))
✓	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
✓	99.8%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	99.7%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
✓	97.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 401 to 136 computations (66.1% saved)

regimes14.0ms (0.1%)

Memory

-26.7MiB live, 18.0MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1)))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (/ (+ ( x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (/ (+ (* x x) -1) (+ x -1))) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) x)) #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(approx (log (- 1 x)) (.f64 x (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) #s(approx (log (/ (+ (* x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1)))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (/ (+ ( x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (/ (+ (* x x) -1) (+ x -1))) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) x)) #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(approx (log (- 1 x)) (.f64 x (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) #s(approx (log (/ (+ (* x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-25.2MiB live, 13.6MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (/ (+ (* x x) -1) (+ x -1)))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (/ (+ ( x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (/ (+ (* x x) -1) (+ x -1))) (fma.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) x)) #s(approx (log (- 1 x)) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))

Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))

Calls

2 calls:

4.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

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

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes2.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory

-25.2MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	131
1	58	131
2	61	131
3	62	131

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 #s(approx (log (- 1 x)) (.f64 x (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) #s(approx (log (/ (+ (* x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 #s(approx (log (- 1 x)) (.f64 x (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) #s(approx (log (/ (+ (* x x) -1) (+ x -1))) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

soundness977.0ms (9.4%)

Memory

36.7MiB live, 536.1MiB allocated

Rules

15 506×	`lower-fma.f64`
15 506×	`lower-fma.f32`
14 138×	`lower-fma.f64`
14 138×	`lower-fma.f32`
12 270×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	121
0	46	107
1	195	102
2	1476	102
0	8411	96
0	7	23
0	12	23
1	41	23
2	245	23
3	2167	23
0	10440	15
0	262	4968
1	811	4468
2	2668	4109
0	8214	3984
0	256	4806
1	800	4297
2	2648	3950
0	8161	3822
0	217	1122
1	658	1000
2	2012	927
0	8297	900
0	25	103
0	39	103
1	208	91
2	1716	91
0	8777	85

Stop Event

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

Compiler

Compiled 240 to 124 computations (48.3% saved)

preprocess70.0ms (0.7%)

Memory: 18.7MiB live, 98.8MiB allocated
Compiler: Compiled 198 to 88 computations (55.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
0	7	9
0	12	9
1	17	9
2	21	9
3	26	9
4	33	9
5	41	9
6	51	9
7	65	9
8	69	9
0	69	6

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
0	7	9
0	12	9
1	17	9
2	21	9
3	26	9
4	33	9
5	41	9
6	51	9
7	65	9
8	69	9
0	69	6

start0.0ms (0%)

analyze4.0ms (0%)

sample2.6s (25.5%)

preprocess17.0ms (0.2%)

explain191.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize74.0ms (0.7%)

series13.0ms (0.1%)

simplify387.0ms (3.7%)

rewrite249.0ms (2.4%)

eval106.0ms (1%)

prune116.0ms (1.1%)

simplify418.0ms (4%)

localize206.0ms (2%)

series22.0ms (0.2%)

simplify678.0ms (6.5%)

rewrite373.0ms (3.6%)

eval118.0ms (1.1%)

prune105.0ms (1%)

simplify369.0ms (3.6%)

localize288.0ms (2.8%)

series30.0ms (0.3%)

simplify599.0ms (5.8%)

rewrite310.0ms (3%)

eval196.0ms (1.9%)

prune144.0ms (1.4%)

simplify334.0ms (3.2%)

localize328.0ms (3.2%)

series6.0ms (0.1%)

simplify611.0ms (5.9%)

rewrite273.0ms (2.6%)

eval26.0ms (0.3%)

prune29.0ms (0.3%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify8.0ms (0.1%)

soundness977.0ms (9.4%)

preprocess70.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	21
1	24	19
2	43	19
3	79	19
4	115	19
5	152	19
6	175	19
7	186	19
8	189	19
9	190	19
0	7	9
0	12	9
1	17	9
2	21	9
3	26	9
4	33	9
5	41	9
6	51	9
7	65	9
8	69	9
0	69	6