Metrics for qlog (example 3.10)

analyze4.0ms (0%)

Memory

5.3MiB live, 5.3MiB 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)

sample2.7s (23.7%)

Memory

18.3MiB live, 3 629.3MiB allocated

Samples

1.4s	3 111×	2	valid
891.0ms	4 769×	1	valid
34.0ms	376×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-log: 1.2s (60.6% of total)

ival-div: 238.0ms (12.3% of total)

adjust: 216.0ms (11.1% of total)

ival-sub: 126.0ms (6.5% of total)

ival-log1p: 88.0ms (4.5% of total)

ival-fabs: 52.0ms (2.7% of total)

ival-<=: 36.0ms (1.9% of total)

exact: 6.0ms (0.3% of total)

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

Bogosity

preprocess17.0ms (0.2%)

Memory

29.6MiB live, 29.6MiB 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))

explain236.0ms (2.1%)

Memory

8.8MiB live, 359.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
254	-	2	(-0.010521091021638585)	`(log.f64 (-.f64 #s(literal 1 binary64) x))`
252	-	0	-	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
0	-	0	-	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`
0	-	0	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) x))`	sensitivity	252	2
`log.f64`	`(log.f64 (-.f64 #s(literal 1 binary64) x))`	sensitivity	252	2

Confusion

	Predicted +	Predicted -
+	247	2
-	5	2

Precision

0.9801587301587301

Recall

0.9919678714859438

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	247	2	0
-	5	0	2

Precision?

0.9803149606299213

Recall?

1.0

Freqs

test

number	freq
0	4
2	252

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms	172×	2	valid
59.0ms	308×	1	valid
7.0ms	32×	0	valid

Compiler

Compiled 74 to 32 computations (56.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-log: 61.0ms (56.4% of total)

ival-div: 20.0ms (18.5% of total)

adjust: 13.0ms (12% of total)

ival-sub: 7.0ms (6.5% of total)

ival-log1p: 4.0ms (3.7% of total)

ival-add: 3.0ms (2.8% 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

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.4%	(/.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)

simplify24.0ms (0.2%)

Memory

-28.4MiB live, 9.6MiB 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)

localize107.0ms (0.9%)

Memory

20.7MiB live, 107.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	9.9%	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	accuracy	9.9%	(log.f64 (-.f64 #s(literal 1 binary64) x))

Samples

50.0ms	154×	1	valid
44.0ms	86×	2	valid
1.0ms	16×	0	valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-log: 67.0ms (79.4% of total)

adjust: 7.0ms (8.3% of total)

ival-div: 4.0ms (4.7% of total)

ival-sub: 4.0ms (4.7% of total)

ival-log1p: 2.0ms (2.4% of total)

ival-add: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory

-26.0MiB live, 10.3MiB 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
2.0ms	x	@	-inf	(/ (log (- 1 x)) (log (+ 1 x)))
1.0ms	x	@	inf	(/ (log (- 1 x)) (log (+ 1 x)))
0.0ms	x	@	0	(log (+ 1 x))
0.0ms	x	@	inf	(log (+ 1 x))
0.0ms	x	@	-inf	(log (+ 1 x))

simplify754.0ms (6.7%)

Memory

17.0MiB live, 703.2MiB 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))

rewrite273.0ms (2.4%)

Memory

-0.7MiB live, 509.5MiB 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))))

eval161.0ms (1.4%)

Memory: 14.2MiB live, 176.3MiB allocated
Compiler: Compiled 28 479 to 2 474 computations (91.3% saved)

prune215.0ms (1.9%)

Memory

-25.5MiB live, 259.2MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	888	11	899
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	888	12	900

Accuracy

100.0%

Counts

900 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.6%	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	5.4%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
▶	7.7%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
	6.4%	(/.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 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
	7.0%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 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) x)))
▶	5.9%	(/.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)))
▶	100.0%	(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
	99.1%	#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)))
▶	98.6%	#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)))
	98.0%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
▶	96.5%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 270 to 175 computations (35.2% saved)

simplify396.0ms (3.5%)

Memory

9.2MiB live, 529.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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	(*.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)))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	192	(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	(log1p.f64 (neg.f64 (*.f64 x x)))
✓	cost-diff	0	(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
✓	cost-diff	0	(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
✓	cost-diff	13504	(/.f64 (log1p.f64 x) (log1p.f64 x))

Rules

11 328×	`lower-fma.f32`
11 318×	`lower-fma.f64`
3 220×	`lower--.f32`
3 216×	`lower--.f64`
2 056×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	180
0	59	172
1	108	172
2	188	172
3	319	172
4	594	172
5	1027	172
6	2021	172
7	4006	172
8	5082	172
9	5347	172
10	5511	172
11	5734	172
12	6111	172
0	8111	166

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
(log1p.f64 (neg.f64 (*.f64 x x)))
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
(log1p.f64 x)
(/.f64 (log1p.f64 x) (log1p.f64 x))
#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 #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)))
#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 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#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)

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

localize196.0ms (1.7%)

Memory

-10.2MiB live, 391.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	99.9%	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓	accuracy	9.9%	(log.f64 (-.f64 #s(literal 1 binary64) x))
✓	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	99.9%	(/.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)))
✓	accuracy	99.1%	#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	9.9%	(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	98.6%	#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	96.5%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
✓	accuracy	100.0%	(neg.f64 (*.f64 x x))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(log1p.f64 (neg.f64 (*.f64 x x)))
✓	accuracy	58.2%	(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))

Samples

78.0ms	154×	1	valid
68.0ms	86×	2	valid
3.0ms	16×	0	valid

Compiler

Compiled 190 to 30 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-log: 34.0ms (28.8% of total)

ival-mult: 20.0ms (16.9% of total)

adjust: 19.0ms (16.1% of total)

ival-add: 11.0ms (9.3% of total)

ival-div: 10.0ms (8.5% of total)

const: 10.0ms (8.5% of total)

ival-log1p: 6.0ms (5.1% of total)

ival-sub: 5.0ms (4.2% of total)

ival-neg: 2.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/.f64 (log1p.f64 x) (log1p.f64 x))>
#<alt (-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))>
#<alt (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))>
#<alt (log1p.f64 (neg.f64 (*.f64 x x)))>
#<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 #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)))>
#<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 (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 (neg.f64 (*.f64 x x))>

Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<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) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -5/12 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))>
#<alt (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (/ (+ (log -1) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/2 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))>
#<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)))>
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#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
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#<alt 1>
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#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>

Calls

51 calls:

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

simplify418.0ms (3.7%)

Memory

9.5MiB live, 770.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 554×	`lower-fma.f64`
10 554×	`lower-fma.f32`
4 612×	`lower-*.f64`
4 612×	`lower-*.f32`
4 566×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	5707
1	1142	5196
2	3662	5031
0	8361	4841

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

Calls

Call 1

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

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

rewrite311.0ms (2.7%)

Memory

6.4MiB live, 599.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 400×	`lower-fma.f32`
4 390×	`lower-fma.f64`
4 314×	`lower-/.f32`
4 308×	`lower-/.f64`
4 028×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	138
0	59	133
1	237	127
2	1640	127
0	8279	120

Stop Event

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

Counts

17 → 475

Calls

Call 1

Inputs
(/.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))
(log1p.f64 (neg.f64 (*.f64 x x)))
#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 #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)))
#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)))
(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)
(neg.f64 (*.f64 x x))

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

eval212.0ms (1.9%)

Memory: -25.3MiB live, 166.9MiB allocated
Compiler: Compiled 21 015 to 1 843 computations (91.2% saved)

prune72.0ms (0.6%)

Memory

23.9MiB live, 139.4MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	760	4	764
Fresh	4	2	6
Picked	3	2	5
Done	1	0	1
Total	768	8	776

Accuracy

100.0%

Counts

776 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.3%	(/.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)))) #s(approx (log (+ 1 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)))
▶	100.0%	(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
▶	98.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
▶	99.1%	#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)))
✓	98.6%	#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)))
▶	98.0%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
✓	96.5%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 162 to 97 computations (40.1% saved)

simplify283.0ms (2.5%)

Memory

1.6MiB live, 366.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

11 752×	`lower-fma.f32`
11 732×	`lower-fma.f64`
2 446×	`lower-*.f32`
2 442×	`lower-*.f64`
1 826×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	274
0	73	263
1	149	263
2	341	263
3	673	263
4	1196	263
5	1978	263
6	3795	263
7	5574	263
8	7243	263
0	8018	256

Stop Event

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

Calls

Call 1

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

localize273.0ms (2.4%)

Memory

14.4MiB live, 280.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓	accuracy	99.9%	(/.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)) (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	99.1%	#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	99.1%	#s(approx (log (+ 1 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))
✓	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	99.1%	#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)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
✓	accuracy	98.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) x)
✓	accuracy	98.0%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	#s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
✓	accuracy	100.0%	(log1p.f64 (neg.f64 (*.f64 x x)))
✓	accuracy	58.2%	(/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))

Samples

122.0ms	154×	1	valid
83.0ms	86×	2	valid
6.0ms	16×	0	valid

Compiler

Compiled 247 to 43 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

const: 39.0ms (22.6% of total)

adjust: 30.0ms (17.4% of total)

ival-log: 29.0ms (16.8% of total)

ival-mult: 27.0ms (15.7% of total)

ival-add: 20.0ms (11.6% of total)

ival-div: 10.0ms (5.8% of total)

ival-sub: 6.0ms (3.5% of total)

ival-log1p: 6.0ms (3.5% of total)

ival-neg: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

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

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

series14.0ms (0.1%)

Memory

-27.6MiB live, 13.8MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#<alt (-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))>
#<alt (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x))>
#<alt (log1p.f64 (neg.f64 (*.f64 x x)))>
#<alt (neg.f64 (*.f64 x x))>
#<alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.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 (neg.f64 x) #s(literal -1 binary64)))>
#<alt (+.f64 (neg.f64 x) #s(literal -1 binary64))>
#<alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))>
#<alt (*.f64 x x)>
#<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 (/.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)) (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 (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))>
#<alt (log1p.f64 x)>
#<alt (neg.f64 x)>
#<alt #s(approx (log (+ 1 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))>
#<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) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -5/12 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))>
#<alt (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (/ (+ (log -1) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/2 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -2 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (* -2 (log (/ -1 x))))>
#<alt (- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))>
#<alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt -1>
#<alt (- (* -1 x) 1)>
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#<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 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<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 (* -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 1/3>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>

Calls

69 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
0.0ms	x	@	inf	(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)
0.0ms	x	@	inf	(+ (* x (+ (* x -5/12) -1/2)) -1)
0.0ms	x	@	-inf	(+ (* x (+ (* x -5/12) -1/2)) -1)
0.0ms	x	@	inf	(+ (* x -1/4) 1/3)

simplify360.0ms (3.2%)

Memory

20.7MiB live, 452.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 114×	`lower-fma.f64`
10 114×	`lower-fma.f32`
4 988×	`lower-*.f64`
4 988×	`lower-*.f32`
3 732×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	417	6101
1	1298	5584
2	4439	5418
0	8143	5211

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 274

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) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(/ (+ (log -1) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))
(+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))
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(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(+ (log -1) (* -2 (log (/ 1 x))))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(+ (log -1) (* -2 (log (/ -1 x))))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
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(* -1 (pow x 2))
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(* -1 (pow x 2))
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(* -1 (pow x 2))
(* -1 (pow x 2))
-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))))
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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)))))))))
(* -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)))
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(+ (* -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)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* -1/2 x) 1)) 1)
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(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
-1
(- (* -1 x) 1)
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(- (* -1 x) 1)
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(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
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1
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Outputs
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(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
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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 #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x)))
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(- (+ (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))))
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(-.f64 (neg.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 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 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 binary64) (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) 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 (*.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 (.f64 x (*.f64 x 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 (.f64 x x)) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) (neg.f64 (.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#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 (log.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) 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 (log.f64 #s(literal -1 binary64)) (/.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 (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)) (/.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 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
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(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
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 (log.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) 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 (log.f64 #s(literal -1 binary64)) (/.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 (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)) (/.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))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))

rewrite574.0ms (5.1%)

Memory

-117.0MiB live, 447.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 206×	`lower-/.f32`
4 202×	`lower-/.f64`
3 620×	`lower-*.f32`
3 616×	`lower-*.f64`
3 446×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	221
0	73	212
1	340	212
2	2860	188
0	8555	188

Stop Event

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

Counts

23 → 509

Calls

Call 1

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

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

eval107.0ms (0.9%)

Memory: 15.2MiB live, 207.0MiB allocated
Compiler: Compiled 22 954 to 2 027 computations (91.2% saved)

prune87.0ms (0.8%)

Memory

11.2MiB live, 170.4MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	829	10	839
Fresh	0	1	1
Picked	2	3	5
Done	0	2	2
Total	831	16	847

Accuracy

100.0%

Counts

847 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.3%	(/.f64 #s(approx (log (- 1 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))) #s(approx (log (+ 1 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)))
	99.3%	(/.f64 #s(approx (log (- 1 x)) (/.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 (.f64 x 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)))) #s(approx (log (+ 1 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)))
✓	99.3%	(/.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)))) #s(approx (log (+ 1 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)))
	99.3%	(/.f64 #s(approx (log (- 1 x)) (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (.f64 x #s(literal -1/2 binary64))))) #s(approx (log (+ 1 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)))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 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)) #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))))))
	99.7%	(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.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)) (log (+ 1 x))) #s(literal 1 binary64)))
	99.5%	(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
	99.3%	(-.f64 #s(approx (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 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)))
	99.1%	#s(approx (/ (log (- 1 x)) (log (+ 1 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)))
▶	98.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
✓	99.1%	#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)))
✓	98.6%	#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)))
✓	98.0%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
▶	99.0%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) (neg.f64 x)))
✓	96.5%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 563 to 306 computations (45.6% saved)

simplify409.0ms (3.6%)

Memory

-38.6MiB live, 331.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(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)
✓	cost-diff	0	#s(approx (log (- 1 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))
✓	cost-diff	0	(/.f64 #s(approx (log (- 1 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)) #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	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 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)) #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	(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	#s(approx (log (- 1 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)))
✓	cost-diff	0	(/.f64 #s(approx (log (- 1 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))) #s(approx (log (+ 1 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)))
✓	cost-diff	128	(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))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
✓	cost-diff	0	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) (neg.f64 x)))
✓	cost-diff	128	(+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))))
✓	cost-diff	256	(+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) (neg.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	(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

15 040×	`lower-fma.f32`
15 022×	`lower-fma.f64`
2 552×	`lower-*.f32`
2 544×	`lower-*.f64`
2 208×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	411
0	75	396
1	150	396
2	332	394
3	746	394
4	1448	394
5	2616	394
6	4806	394
7	6190	394
8	7137	394
9	7418	394
10	7566	394
11	7606	394
12	7610	394
13	7698	394
14	7714	394
15	7714	394
0	8028	387

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

localize312.0ms (2.8%)

Memory

35.1MiB live, 188.9MiB allocated

Localize:

Found 20 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%	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓	accuracy	99.1%	#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	3.7%	#s(approx (log (- 1 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))
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
✓	accuracy	99.9%	(/.f64 #s(approx (log (- 1 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))) #s(approx (log (+ 1 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)))
✓	accuracy	99.1%	#s(approx (log (- 1 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)))
✓	accuracy	99.1%	#s(approx (log (+ 1 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))
✓	accuracy	100.0%	(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) (neg.f64 x))
✓	accuracy	100.0%	(.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
✓	accuracy	99.1%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) (neg.f64 x)))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x))
✓	accuracy	98.6%	#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%	(neg.f64 x)
✓	accuracy	100.0%	(log1p.f64 (neg.f64 x))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Samples

133.0ms	155×	1	valid
88.0ms	85×	2	valid
5.0ms	16×	0	valid

Compiler

Compiled 307 to 43 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-div: 33.0ms (17.9% of total)

ival-log: 31.0ms (16.8% of total)

ival-add: 30.0ms (16.3% of total)

adjust: 27.0ms (14.6% of total)

ival-mult: 26.0ms (14.1% of total)

const: 26.0ms (14.1% of total)

ival-sub: 6.0ms (3.3% of total)

ival-log1p: 3.0ms (1.6% of total)

ival-neg: 2.0ms (1.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series25.0ms (0.2%)

Memory

-30.1MiB live, 7.7MiB allocated

Counts

25 → 300

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

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

Calls

75 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	(+ (* (+ (* x (+ (* x -1/4) -1/3)) -1/2) (* x x)) (neg x))
0.0ms	x	@	inf	(+ (* (* x x) (+ (* x (+ (* x -1/4) 1/3)) -1/2)) x)
0.0ms	x	@	-inf	(+ -1 (* x (* x (+ (* x -5/12) -1/2))))
0.0ms	x	@	inf	(* x (* x (+ (* x -5/12) -1/2)))
0.0ms	x	@	inf	(+ (* x (+ (* x -1/4) -1/3)) -1/2)

simplify614.0ms (5.4%)

Memory

0.1MiB live, 481.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 618×	`lower-fma.f64`
18 618×	`lower-fma.f32`
5 310×	`lower-+.f64`
5 310×	`lower-+.f32`
4 688×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	5150
1	946	4704
2	3125	4392
0	8230	4225

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 297

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

rewrite450.0ms (4%)

Memory

1.5MiB live, 635.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 040×	`lower-fma.f32`
6 022×	`lower-fma.f64`
4 596×	`lower-*.f32`
4 588×	`lower-*.f64`
4 122×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	322
0	75	306
1	343	306
2	2672	293
0	9981	288

Stop Event

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

Counts

25 → 724

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) 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)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(neg.f64 (/.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (log1p.f64 x) (log1p.f64 x))
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (neg.f64 (log1p.f64 x))))
(/.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (log1p.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log1p.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (log1p.f64 x)))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) (neg.f64 (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))
(pow.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 x))))
(*.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)))
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (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 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.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 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(-.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 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log1p.f64 x)
(log1p.f64 (neg.f64 x))
(log1p.f64 (neg.f64 (neg.f64 x)))
(+.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 (-.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) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (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 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.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 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(-.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 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log1p.f64 x)
(log1p.f64 (neg.f64 x))
(log1p.f64 (neg.f64 (neg.f64 x)))
(+.f64 #s(literal -1 binary64) (+.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (+.f64 x #s(literal -1 binary64)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64))))
(-.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x x (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x x (.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))))
(-.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (-.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)) (/.f64 (.f64 x x) (+.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) (fma.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (+.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)))
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(/.f64 (neg.f64 (.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 (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) (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 (fma.f64 (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) (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 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (.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 (*.f64 x 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 (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 (.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 (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) (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)) (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 (.f64 x 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 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)))))
(/.f64 (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 (*.f64 x 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)) (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 (neg.f64 (-.f64 (.f64 (.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))) (.f64 (.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))) (.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))))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (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) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (fma.f64 x x (.f64 (.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)))))
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.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)))) (.f64 (.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))) (.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))))) (fma.f64 (.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))) (.f64 (.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))) (.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)))) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (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 (.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 (.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(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)))
(*.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)) x)
(.f64 (fma.f64 (.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))) (.f64 (.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))) (.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)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.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)))) (.f64 (.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))) (.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)))))))
(.f64 (.f64 (.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 (.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) (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 (/.f64 (.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) (/.f64 (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 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))))

eval200.0ms (1.8%)

Memory: -6.2MiB live, 447.9MiB allocated
Compiler: Compiled 47 736 to 3 015 computations (93.7% saved)

prune218.0ms (1.9%)

Memory

14.1MiB live, 368.7MiB allocated

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	1 292	4	1 296
Fresh	1	5	6
Picked	1	4	5
Done	0	5	5
Total	1 294	18	1 312

Accuracy

100.0%

Counts

1 312 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
	99.3%	(/.f64 #s(approx (log (- 1 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))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))))
✓	99.3%	(/.f64 #s(approx (log (- 1 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))) #s(approx (log (+ 1 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)))
	55.8%	(/.f64 #s(approx (log (- 1 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))) #s(approx (log (+ 1 x)) (/.f64 (-.f64 (.f64 x x) (.f64 x (.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 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 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))
✓	99.3%	(/.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)))) #s(approx (log (+ 1 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)))
	99.3%	(/.f64 #s(approx (log (- 1 x)) (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (.f64 x #s(literal -1/2 binary64))))) #s(approx (log (+ 1 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)))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #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%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 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)) #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))))))
	99.7%	(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.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)) (log (+ 1 x))) #s(literal 1 binary64)))
	99.5%	(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
	99.3%	(-.f64 #s(approx (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 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)))
	99.1%	#s(approx (/ (log (- 1 x)) (log (+ 1 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)))
✓	98.6%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
✓	99.1%	#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)))
✓	98.6%	#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)))
	99.0%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x))
✓	98.0%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
✓	96.5%	#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

Compiler

Compiled 937 to 316 computations (66.3% saved)

regimes17.0ms (0.2%)

Memory

12.9MiB live, 51.0MiB allocated

Counts

30 → 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 (+ 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 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
#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))) (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 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)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) (neg.f64 x)))
(-.f64 #s(approx (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 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)))
(/.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)) (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)) (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))) #s(approx (log (+ 1 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 #s(approx (log (- 1 x)) (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (.f64 x #s(literal -1/2 binary64))))) #s(approx (log (+ 1 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 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 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)) #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)) (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))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #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 (.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 (.f64 x 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)))) #s(approx (log (+ 1 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 #s(approx (log (- 1 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))) #s(approx (log (+ 1 x)) (/.f64 (-.f64 (.f64 x x) (.f64 x (.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 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 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 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 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 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) x)))
(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.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)) (log (+ 1 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 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 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)))))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))

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

Calls

2 calls:

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

regimes15.0ms (0.1%)

Memory

6.3MiB live, 45.3MiB allocated

Counts

26 → 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 (+ 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 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
#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))) (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 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)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) (neg.f64 x)))
(-.f64 #s(approx (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 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)))
(/.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)) (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)) (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))) #s(approx (log (+ 1 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 #s(approx (log (- 1 x)) (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (.f64 x #s(literal -1/2 binary64))))) #s(approx (log (+ 1 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 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 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)) #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)) (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))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #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 (.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 (.f64 x 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)))) #s(approx (log (+ 1 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 #s(approx (log (- 1 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))) #s(approx (log (+ 1 x)) (/.f64 (-.f64 (.f64 x x) (.f64 x (.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 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 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 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 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 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) x)))
(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.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)) (log (+ 1 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)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	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)

regimes15.0ms (0.1%)

Memory

-1.4MiB live, 40.4MiB allocated

Counts

22 → 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 (+ 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 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
#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))) (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 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)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) (neg.f64 x)))
(-.f64 #s(approx (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 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)))
(/.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)) (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)) (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))) #s(approx (log (+ 1 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 #s(approx (log (- 1 x)) (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (.f64 x #s(literal -1/2 binary64))))) #s(approx (log (+ 1 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 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 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)) #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)) (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))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #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 (.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 (.f64 x 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)))) #s(approx (log (+ 1 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 #s(approx (log (- 1 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))) #s(approx (log (+ 1 x)) (/.f64 (-.f64 (.f64 x x) (.f64 x (.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 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 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 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 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 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) x)))
(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.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)) (log (+ 1 x))) #s(literal 1 binary64)))

Outputs

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

Calls

2 calls:

8.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
6.0ms	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)

regimes14.0ms (0.1%)

Memory

-0.0MiB live, 36.2MiB allocated

Counts

21 → 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 (+ 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 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
#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))) (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 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)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) (neg.f64 x)))
(-.f64 #s(approx (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 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)))
(/.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)) (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)) (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))) #s(approx (log (+ 1 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 #s(approx (log (- 1 x)) (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (.f64 x #s(literal -1/2 binary64))))) #s(approx (log (+ 1 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 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 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)) #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)) (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))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #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 (.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 (.f64 x 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)))) #s(approx (log (+ 1 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 #s(approx (log (- 1 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))) #s(approx (log (+ 1 x)) (/.f64 (-.f64 (.f64 x x) (.f64 x (.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 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 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 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 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 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) x)))
(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	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)

regimes12.0ms (0.1%)

Memory

2.7MiB live, 41.9MiB allocated

Counts

20 → 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 (+ 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 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
#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))) (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 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)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))) (neg.f64 x)))
(-.f64 #s(approx (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 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)))
(/.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)) (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)) (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))) #s(approx (log (+ 1 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 #s(approx (log (- 1 x)) (.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (.f64 x #s(literal -1/2 binary64))))) #s(approx (log (+ 1 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 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 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)) #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)) (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))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (- 1 x)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #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 (.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 (.f64 x 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)))) #s(approx (log (+ 1 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 #s(approx (log (- 1 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))) #s(approx (log (+ 1 x)) (/.f64 (-.f64 (.f64 x x) (.f64 x (.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 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 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 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 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 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) x)))

Outputs

(-.f64 #s(approx (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 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)))

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-18.0MiB live, 21.4MiB allocated

Counts

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

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:

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

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	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

15.5MiB live, 15.5MiB 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 (+ 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 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))

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
98.6%	1	`x`
98.6%	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)

regimes3.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

2 → 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))

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

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
98.0%	1	`x`
98.0%	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)

regimes6.0ms (0.1%)

Memory

-46.8MiB live, 6.6MiB 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:

5.0ms	x
1.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
96.5%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`
96.5%	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify9.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	205
1	84	205
2	95	205
3	99	205
4	100	205

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.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)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 #s(approx (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 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(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 (/.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.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)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(approx (log (+ 1 (neg (* x x)))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 #s(approx (/ (log (+ 1 (neg (* x x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 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(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))

soundness1.1s (9.6%)

Memory

22.3MiB live, 728.2MiB allocated

Rules

12 270×	`lower-fma.f64`
12 270×	`lower-fma.f32`
10 554×	`lower-fma.f64`
10 554×	`lower-fma.f32`
10 114×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	138
0	59	133
1	237	127
2	1640	127
0	8279	120
0	377	5707
1	1142	5196
2	3662	5031
0	8361	4841
0	217	1122
1	658	1000
2	2012	927
0	8297	900
0	7	23
0	12	23
1	41	23
2	245	23
3	2167	23
0	10440	15
0	417	6101
1	1298	5584
2	4439	5418
0	8143	5211

Stop Event

1×	fuel
1×	iter limit
1×	node limit
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

Compiler

Compiled 238 to 130 computations (45.4% saved)

preprocess65.0ms (0.6%)

Memory: -11.1MiB live, 191.9MiB allocated
Compiler: Compiled 250 to 110 computations (56% 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

analyze4.0ms (0%)

sample2.7s (23.7%)

preprocess17.0ms (0.2%)

explain236.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.2%)

localize107.0ms (0.9%)

series37.0ms (0.3%)

simplify754.0ms (6.7%)

rewrite273.0ms (2.4%)

eval161.0ms (1.4%)

prune215.0ms (1.9%)

simplify396.0ms (3.5%)

localize196.0ms (1.7%)

series14.0ms (0.1%)

simplify418.0ms (3.7%)

rewrite311.0ms (2.7%)

eval212.0ms (1.9%)

prune72.0ms (0.6%)

simplify283.0ms (2.5%)

localize273.0ms (2.4%)

series14.0ms (0.1%)

simplify360.0ms (3.2%)

rewrite574.0ms (5.1%)

eval107.0ms (0.9%)

prune87.0ms (0.8%)

simplify409.0ms (3.6%)

localize312.0ms (2.8%)

series25.0ms (0.2%)

simplify614.0ms (5.4%)

rewrite450.0ms (4%)

eval200.0ms (1.8%)

prune218.0ms (1.9%)

regimes17.0ms (0.2%)

regimes15.0ms (0.1%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.1s (9.6%)

preprocess65.0ms (0.6%)

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