Metrics for Hyperbolic arc-(co)tangent

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample3.8s (34.1%)

Memory

41.1MiB live, 3 087.6MiB allocated

Samples

1.6s	3 060×	2	valid
1.4s	4 854×	1	valid
26.0ms	342×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-log: 1.3s (50.7% of total)

ival-add: 422.0ms (16% of total)

adjust: 316.0ms (12% of total)

ival-div: 300.0ms (11.4% of total)

ival-mult: 146.0ms (5.6% of total)

ival-sub: 94.0ms (3.6% of total)

exact: 9.0ms (0.3% of total)

ival-true: 7.0ms (0.3% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain264.0ms (2.4%)

Memory

-15.0MiB live, 419.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
251	-	-	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
0	-	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`	sensitivity	251	1

Confusion

	Predicted +	Predicted -
+	251	0
-	0	5

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	251	0	0
-	0	1	4

Precision?

0.996031746031746

Recall?

1.0

Freqs

test

number	freq
0	5
1	251

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

86.0ms	210×	2	valid
69.0ms	268×	1	valid
3.0ms	34×	0	valid

Compiler

Compiled 94 to 31 computations (67% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-log: 70.0ms (53.2% of total)

ival-div: 25.0ms (19% of total)

adjust: 13.0ms (9.9% of total)

ival-mult: 10.0ms (7.6% of total)

ival-sub: 7.0ms (5.3% of total)

ival-add: 6.0ms (4.6% of total)

ival-true: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

preprocess46.0ms (0.4%)

Memory

-9.9MiB live, 35.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	29	20
2	53	20
3	94	20
4	155	20
5	276	20
6	514	20
7	596	20
8	604	20
0	9	10
0	16	10
1	22	10
2	26	10
3	31	10
4	38	10
5	48	10
6	64	10
7	85	10
8	115	10
9	165	10
10	208	10
11	301	10
12	476	10
13	654	10
0	654	10

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.6%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify13.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	16	35
1	22	35
2	26	35
3	31	35
4	38	35
5	48	35
6	64	35
7	85	35
8	115	35
9	165	35
10	208	35
11	301	35
12	476	35
13	654	35
0	654	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize103.0ms (0.9%)

Memory

8.2MiB live, 116.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy	0.01171875	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	57.1490829163012	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Samples

46.0ms	105×	2	valid
28.0ms	134×	1	valid
1.0ms	17×	0	valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-log: 36.0ms (60.4% of total)

adjust: 6.0ms (10.1% of total)

ival-div: 6.0ms (10.1% of total)

ival-mult: 4.0ms (6.7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

5 → 48

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x)))))) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify177.0ms (1.6%)

Memory

-6.6MiB live, 201.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	390
1	322	376
2	809	374
3	2101	370
4	3885	370
5	6111	370
0	8211	346

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

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

rewrite117.0ms (1.1%)

Memory

5.6MiB live, 201.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	16	29
1	49	29
2	308	29
3	4075	29
0	9498	22

Stop Event

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

Counts

5 → 799

Calls

Call 1

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

Outputs
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eval179.0ms (1.6%)

Memory: -26.5MiB live, 227.2MiB allocated
Compiler: Compiled 20 957 to 3 119 computations (85.1% saved)

prune39.0ms (0.4%)

Memory

-5.3MiB live, 45.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	835	9	844
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	836	9	845

Accuracy

100.0%

Counts

845 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
▶	10.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))))
	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
▶	99.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
	99.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
▶	97.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
	10.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
	99.5%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)))
▶	99.0%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))

Compiler

Compiled 266 to 190 computations (28.6% saved)

simplify181.0ms (1.6%)

Memory

1.0MiB live, 114.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
cost-diff	128	(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	1280	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) (log1p.f64 x))
cost-diff	0	(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
cost-diff	448	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	327
0	79	327
1	123	323
2	206	323
3	439	316
4	882	316
5	2181	316
6	4835	300
7	7298	292
0	8087	286

Stop Event

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

Calls

Call 1

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

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

localize448.0ms (4.1%)

Memory

8.4MiB live, 276.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))
accuracy	0.01953125	(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy	0.0234375	(/.f64 x (-.f64 #s(literal 1 binary64) x))
accuracy	57.1490829163012	(log.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x)))
accuracy	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
accuracy	0.00390625	(pow.f64 x #s(literal 3 binary64))
accuracy	0.6313477033594497	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0.0234375	(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
accuracy	0.0234375	(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.33981284505242537	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy	0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
accuracy	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	1.5067420778554677	#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
accuracy	0	(neg.f64 x)
accuracy	0	(log1p.f64 x)
accuracy	0.015625	(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
accuracy	0.015625	(log1p.f64 (*.f64 (neg.f64 x) x))

Samples

180.0ms	105×	2	valid
177.0ms	134×	1	valid
6.0ms	17×	0	valid

Compiler

Compiled 334 to 44 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 320.0ms

ival-log: 111.0ms (34.6% of total)

adjust: 74.0ms (23.1% of total)

ival-div: 52.0ms (16.2% of total)

ival-mult: 34.0ms (10.6% of total)

ival-add: 14.0ms (4.4% of total)

const: 13.0ms (4.1% of total)

ival-sub: 8.0ms (2.5% of total)

ival-pow: 5.0ms (1.6% of total)

ival-log1p: 5.0ms (1.6% of total)

ival-neg: 4.0ms (1.2% of total)

exact: 1.0ms (0.3% of total)

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

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

series26.0ms (0.2%)

Memory

25.6MiB live, 63.4MiB allocated

Counts

24 → 276

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) (patch (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) (patch (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) (patch (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) (patch (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (log1p.f64 x)) (patch (.f64 #s(literal 2 binary64) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 x))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (log1p.f64 x)) (patch (.f64 #s(literal 2 binary64) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* x (- (* 2/3 x) 1)))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (log1p.f64 x)) (patch (.f64 #s(literal 2 binary64) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1)))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (log1p.f64 x)) (patch (.f64 #s(literal 2 binary64) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (patch (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (patch (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (patch (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))))) (taylor -inf x) (#s(alt (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (patch (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (/ -1 (+ (* (neg x) x) 1)) (neg (* x (/ x (- 1 x)))) (log (+ 1 (* (neg x) x))) (log (+ 1 x)) (neg x) (+ (* 2/5 (* x x)) 2/3) (* x x) (log (/ (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (- 1 x))) (/ x (- 1 x)) (* x (/ x (- 1 x))))
5.0ms	x	@	0	((/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (/ -1 (+ (* (neg x) x) 1)) (neg (* x (/ x (- 1 x)))) (log (+ 1 (* (neg x) x))) (log (+ 1 x)) (neg x) (+ (* 2/5 (* x x)) 2/3) (* x x) (log (/ (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (- 1 x))) (/ x (- 1 x)) (* x (/ x (- 1 x))))
4.0ms	x	@	inf	((/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (/ -1 (+ (* (neg x) x) 1)) (neg (* x (/ x (- 1 x)))) (log (+ 1 (* (neg x) x))) (log (+ 1 x)) (neg x) (+ (* 2/5 (* x x)) 2/3) (* x x) (log (/ (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (- 1 x))) (/ x (- 1 x)) (* x (/ x (- 1 x))))

Time

Variable

Point

Expression

7.0ms

-inf

((/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (/ -1 (+ (* (neg x) x) 1)) (neg (* x (/ x (- 1 x)))) (log (+ 1 (* (neg x) x))) (log (+ 1 x)) (neg x) (+ (* 2/5 (* x x)) 2/3) (* x x) (log (/ (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (- 1 x))) (/ x (- 1 x)) (* x (/ x (- 1 x))))

5.0ms

((/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (/ -1 (+ (* (neg x) x) 1)) (neg (* x (/ x (- 1 x)))) (log (+ 1 (* (neg x) x))) (log (+ 1 x)) (neg x) (+ (* 2/5 (* x x)) 2/3) (* x x) (log (/ (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (- 1 x))) (/ x (- 1 x)) (* x (/ x (- 1 x))))

4.0ms

inf

((/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* 2 (log (+ 1 x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (/ -1 (+ (* (neg x) x) 1)) (neg (* x (/ x (- 1 x)))) (log (+ 1 (* (neg x) x))) (log (+ 1 x)) (neg x) (+ (* 2/5 (* x x)) 2/3) (* x x) (log (/ (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (- 1 x))) (/ x (- 1 x)) (* x (/ x (- 1 x))))

simplify232.0ms (2.1%)

Memory

2.0MiB live, 242.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	2644
1	934	2529
2	2488	2437
3	7339	2436
0	8316	2294

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 265

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* -1 x)))
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(* -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))
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 x)
(* -1 x)
(* -1 x)
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2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 (* x (+ 1 x))))
(* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))
(- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2 x)
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(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
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(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
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(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/3 (pow x 3))
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(pow x 3)
(pow x 3)
x
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(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(+ (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 (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)))
(* -1 x)
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(* -1 x)
(* -1 x)
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
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(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
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(* x (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))))
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(+ (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 x)) 1) x)) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
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(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
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(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(pow x 3)
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x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 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) (* -1 (log (/ -1 x))))
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(+ (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)
(* -1 x)
(* -1 x)
(* -1 x)
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))))

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

rewrite180.0ms (1.6%)

Memory

-3.3MiB live, 316.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	229
0	77	224
1	258	190
2	1933	190
0	9042	184

Stop Event

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

Counts

24 → 1 007

Calls

Call 1

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

Outputs
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eval497.0ms (4.5%)

Memory: 23.2MiB live, 402.5MiB allocated
Compiler: Compiled 46 412 to 6 333 computations (86.4% saved)

prune79.0ms (0.7%)

Memory

4.4MiB live, 90.5MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1 310	8	1 318
Fresh	3	1	4
Picked	5	0	5
Done	0	0	0
Total	1 318	9	1 327

Accuracy

100.0%

Counts

1 327 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.6%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))))
▶	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
	99.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))))
▶	100.0%	(.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
▶	99.4%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
▶	97.6%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
	10.5%	(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))))
	10.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
	99.0%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))

Compiler

Compiled 274 to 194 computations (29.2% saved)

simplify127.0ms (1.2%)

Memory

5.4MiB live, 164.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))))
cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))))
cost-diff	704	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	(log1p.f64 x)
cost-diff	0	(*.f64 (log1p.f64 x) #s(literal 2 binary64))
cost-diff	0	(-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x)))
cost-diff	448	(.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	340
0	86	332
1	137	331
2	224	331
3	445	329
4	915	329
5	1493	329
6	2137	329
7	2934	329
8	3795	329
9	5518	329
0	8431	328

Stop Event

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

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
(-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x)))
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
x
#s(literal 2 binary64)
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(literal 1/2 binary64)
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
#s(literal 2/7 binary64)
(*.f64 x x)
x
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))))
(log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 #s(literal -1 binary64) x)

Outputs
(.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x)))
(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log1p.f64 x))
(log1p.f64 x)
x
#s(literal 2 binary64)
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(literal 1/2 binary64)
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
#s(literal 2/7 binary64)
(*.f64 x x)
x
#s(literal 2/5 binary64)
#s(literal 2/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
(-.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)
x
(-.f64 #s(literal -1 binary64) x)

localize449.0ms (4.1%)

Memory

-45.4MiB live, 369.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))))
accuracy	0	(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))))
accuracy	0.01953125	(/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))
accuracy	57.17938962152426	(log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
accuracy	0.0234375	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.02734375	(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
accuracy	0.16039070537072134	#s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	0.0234375	(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
accuracy	0.0234375	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.33981284505242537	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy	0	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	1.5067420778554677	#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
accuracy	0	(neg.f64 x)
accuracy	0	(log1p.f64 x)
accuracy	0.015625	(-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x)))
accuracy	0.015625	(log1p.f64 (*.f64 (neg.f64 x) x))

Samples

230.0ms	134×	1	valid
164.0ms	105×	2	valid
7.0ms	17×	0	valid

Compiler

Compiled 312 to 47 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 330.0ms

ival-log: 82.0ms (24.9% of total)

adjust: 80.0ms (24.3% of total)

ival-mult: 67.0ms (20.3% of total)

ival-add: 49.0ms (14.9% of total)

const: 15.0ms (4.5% of total)

ival-div: 14.0ms (4.2% of total)

ival-sub: 10.0ms (3% of total)

ival-log1p: 7.0ms (2.1% of total)

ival-neg: 4.0ms (1.2% of total)

exact: 1.0ms (0.3% of total)

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

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

series22.0ms (0.2%)

Memory

6.4MiB live, 49.6MiB allocated

Counts

26 → 300

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt (.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) (patch (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) (patch (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) (patch (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) (patch (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 (log1p.f64 x) #s(literal 2 binary64)) (patch (.f64 (log1p.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 x))) (taylor 0 x) (#s(alt (.f64 (log1p.f64 x) #s(literal 2 binary64)) (patch (.f64 (log1p.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* x (- (* 2/3 x) 1)))) (taylor 0 x) (#s(alt (.f64 (log1p.f64 x) #s(literal 2 binary64)) (patch (.f64 (log1p.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1)))) (taylor 0 x) (#s(alt (.f64 (log1p.f64 x) #s(literal 2 binary64)) (patch (.f64 (log1p.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (- (* 2 (/ 1 x)) 1) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((* (- (* (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) 1/2) (- (* (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) (* (log (+ 1 x)) 2) (log (+ 1 x)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* x 2) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (* x x) 2/5) 2/3) (* x x)) 2) x) (+ (* (+ (* (* x x) 2/5) 2/3) (* x x)) 2) (/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (/ (/ (+ -1 x) (- -1 x)) 1) (* (/ 1 2) (neg (log (/ (/ (+ -1 x) (- -1 x)) 1)))) (neg (log (/ (/ (+ -1 x) (- -1 x)) 1))) (log (+ 1 (* (neg x) x))) (neg x) (+ (* (* x x) 2/5) 2/3) (* x x) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (log (/ (/ (+ -1 x) (- -1 x)) 1)) (/ (+ -1 x) (- -1 x)))

3.0ms

inf

((* (- (* (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) 1/2) (- (* (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) (* (log (+ 1 x)) 2) (log (+ 1 x)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* x 2) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (* x x) 2/5) 2/3) (* x x)) 2) x) (+ (* (+ (* (* x x) 2/5) 2/3) (* x x)) 2) (/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (/ (/ (+ -1 x) (- -1 x)) 1) (* (/ 1 2) (neg (log (/ (/ (+ -1 x) (- -1 x)) 1)))) (neg (log (/ (/ (+ -1 x) (- -1 x)) 1))) (log (+ 1 (* (neg x) x))) (neg x) (+ (* (* x x) 2/5) 2/3) (* x x) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (log (/ (/ (+ -1 x) (- -1 x)) 1)) (/ (+ -1 x) (- -1 x)))

2.0ms

((* (- (* (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) 1/2) (- (* (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) (* (log (+ 1 x)) 2) (log (+ 1 x)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* x 2) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (* x x) 2/5) 2/3) (* x x)) 2) x) (+ (* (+ (* (* x x) 2/5) 2/3) (* x x)) 2) (/ 1 2) (* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x))))) (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (/ (/ (+ -1 x) (- -1 x)) 1) (* (/ 1 2) (neg (log (/ (/ (+ -1 x) (- -1 x)) 1)))) (neg (log (/ (/ (+ -1 x) (- -1 x)) 1))) (log (+ 1 (* (neg x) x))) (neg x) (+ (* (* x x) 2/5) 2/3) (* x x) (+ (* 2/7 (* x x)) 2/5) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (log (/ (/ (+ -1 x) (- -1 x)) 1)) (/ (+ -1 x) (- -1 x)))

simplify223.0ms (2%)

Memory

6.9MiB live, 200.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	3250
1	998	3163
2	2564	3095
3	7241	3094
0	8191	2905

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 294

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* -1 x)))
(* x (+ 2 (* x (- (* 2/3 x) 1))))
(* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1))))
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))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* -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))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
2/5
(+ 2/5 (* 2/7 (pow x 2)))
(+ 2/5 (* 2/7 (pow x 2)))
(+ 2/5 (* 2/7 (pow x 2)))
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(* -2 x)
(* x (- (* -2/3 (pow x 2)) 2))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x)))
(- (+ (* -2 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 1 (pow x 2)))
(- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 (pow x 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)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -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)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2/7 (pow x 2))
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* 2/7 (pow x 4))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
(* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x))))))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (/ 1 x))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))))
(- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(* 2 (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (/ 1 x) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ 1 x)) 1) x)) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (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))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x))))))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (/ 1 x))
(+ (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))))
(- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (+ (log -1) (* -2 (log (/ -1 x)))))
(- (+ (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
-1
(- (* 2 (/ 1 x)) 1)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -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)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2/7 (pow x 2))
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* 2/7 (pow x 4))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))
-1
(- (* 2 (/ 1 x)) 1)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)

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

rewrite200.0ms (1.8%)

Memory

2.7MiB live, 175.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	289
0	86	277
1	294	272
2	1844	272
0	8547	265

Stop Event

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

Counts

26 → 701

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
(-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (.f64 (neg.f64 x) x)))
(*.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))))
(log1p.f64 (*.f64 (neg.f64 x) x))
(neg.f64 x)
(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))

Outputs
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eval224.0ms (2%)

Memory: 18.1MiB live, 206.6MiB allocated
Compiler: Compiled 27 743 to 4 274 computations (84.6% saved)

prune53.0ms (0.5%)

Memory

-13.4MiB live, 74.2MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	1 079	5	1 084
Fresh	1	3	4
Picked	2	3	5
Done	0	0	0
Total	1 082	11	1 093

Accuracy

100.0%

Counts

1 093 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.6%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓	100.0%	(.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
▶	100.0%	(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))
	99.7%	(.f64 #s(approx (- ( (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	99.0%	(.f64 #s(approx (- ( (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
▶	99.5%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
✓	99.4%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
✓	97.6%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	10.5%	(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))))
▶	10.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	99.0%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))

Compiler

Compiled 266 to 191 computations (28.2% saved)

simplify120.0ms (1.1%)

Memory

-13.2MiB live, 63.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))))
cost-diff	128	(neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
cost-diff	128	(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
cost-diff	1280	(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x)))
cost-diff	0	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
cost-diff	320	(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))
cost-diff	-5824	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
cost-diff	0	(log1p.f64 (neg.f64 x))
cost-diff	0	(log1p.f64 x)
cost-diff	0	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
cost-diff	0	(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	330
0	79	327
1	126	317
2	210	317
3	419	312
4	898	312
5	2394	312
6	4993	296
7	7392	288
0	8091	280

Stop Event

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

Calls

Call 1

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

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

localize385.0ms (3.5%)

Memory

26.4MiB live, 378.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))
accuracy	0.01953125	(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy	0.0234375	(/.f64 x (-.f64 #s(literal 1 binary64) x))
accuracy	57.1490829163012	(log.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x)))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy	0.01171875	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	57.1490829163012	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy	0.0234375	(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
accuracy	0.11328125	(.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
accuracy	0.30859375	(.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
accuracy	0.33981284505242537	#s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x)))
accuracy	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x)
accuracy	0	(*.f64 x x)
accuracy	0.08203125	(.f64 (.f64 x x) x)
accuracy	0.6313477033594497	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
accuracy	0	(neg.f64 x)
accuracy	0	(log1p.f64 (neg.f64 x))
accuracy	0	(log1p.f64 x)
accuracy	0.015625	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

Samples

198.0ms	105×	2	valid
122.0ms	134×	1	valid
6.0ms	17×	0	valid

Compiler

Compiled 321 to 46 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 285.0ms

ival-log: 90.0ms (31.6% of total)

const: 59.0ms (20.7% of total)

ival-mult: 52.0ms (18.2% of total)

adjust: 27.0ms (9.5% of total)

ival-div: 18.0ms (6.3% of total)

ival-add: 15.0ms (5.3% of total)

ival-neg: 14.0ms (4.9% of total)

ival-sub: 7.0ms (2.5% of total)

ival-log1p: 4.0ms (1.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series23.0ms (0.2%)

Memory

-20.8MiB live, 22.7MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#s(alt (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (patch (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())
#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x)) (patch #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x) (patch (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (patch (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x)))) (patch (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) (patch (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))) (patch (log.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (patch (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (patch (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (patch (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (patch (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (patch (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -1/3 x) 1/2)) 1)) (taylor 0 x) (#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) (taylor 0 x) (#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x)) (patch #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

((* (- (log (+ 1 x)) (log (+ 1 (neg x)))) 1/2) (- (log (+ 1 x)) (log (+ 1 (neg x)))) (log (+ 1 x)) (log (+ 1 (neg x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (* (* x x) x) 1/3) x) (* x x) (* (* x x) x) (+ (* (* (* (+ (* 2/5 (* x x)) 2/3) x) x) x) (* 2 x)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (* (+ (* 2/5 (* x x)) 2/3) x) x) (* 1/2 (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (/ (+ 1 x) (- 1 x)) (+ 1 x) (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (/ -1 (+ (* (neg x) x) 1)) (neg (* x (/ x (- 1 x)))) (* 1/2 (log (/ (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (- 1 x)))) (neg x) (* (+ (* 2/5 (* x x)) 2/3) x) (+ (* 2/5 (* x x)) 2/3) (log (/ (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (- 1 x))) (/ x (- 1 x)) (* x (/ x (- 1 x))))

3.0ms

inf

((* (- (log (+ 1 x)) (log (+ 1 (neg x)))) 1/2) (- (log (+ 1 x)) (log (+ 1 (neg x)))) (log (+ 1 x)) (log (+ 1 (neg x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (* (* x x) x) 1/3) x) (* x x) (* (* x x) x) (+ (* (* (* (+ (* 2/5 (* x x)) 2/3) x) x) x) (* 2 x)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (* (+ (* 2/5 (* x x)) 2/3) x) x) (* 1/2 (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (/ (+ 1 x) (- 1 x)) (+ 1 x) (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (/ -1 (+ (* (neg x) x) 1)) (neg (* x (/ x (- 1 x)))) (* 1/2 (log (/ (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (- 1 x)))) (neg x) (* (+ (* 2/5 (* x x)) 2/3) x) (+ (* 2/5 (* x x)) 2/3) (log (/ (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (- 1 x))) (/ x (- 1 x)) (* x (/ x (- 1 x))))

3.0ms

-inf

((* (- (log (+ 1 x)) (log (+ 1 (neg x)))) 1/2) (- (log (+ 1 x)) (log (+ 1 (neg x)))) (log (+ 1 x)) (log (+ 1 (neg x))) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (* (* x x) x) 1/3) x) (* x x) (* (* x x) x) (+ (* (* (* (+ (* 2/5 (* x x)) 2/3) x) x) x) (* 2 x)) (* (log (/ (+ 1 x) (- 1 x))) 1/2) (log (/ (+ 1 x) (- 1 x))) (* (* (+ (* 2/5 (* x x)) 2/3) x) x) (* 1/2 (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (/ (+ 1 x) (- 1 x)) (+ 1 x) (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (/ -1 (+ (* (neg x) x) 1)) (neg (* x (/ x (- 1 x)))) (* 1/2 (log (/ (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (- 1 x)))) (neg x) (* (+ (* 2/5 (* x x)) 2/3) x) (+ (* 2/5 (* x x)) 2/3) (log (/ (+ (* (/ -1 (+ (* (neg x) x) 1)) (- -1 x)) (neg (* x (/ x (- 1 x))))) (- 1 x))) (/ x (- 1 x)) (* x (/ x (- 1 x))))

simplify166.0ms (1.5%)

Memory

24.2MiB live, 134.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	293	2724
1	868	2602
2	2236	2536
3	6386	2513
0	8295	2364

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 298

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
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 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))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
(* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
-1
(- (* -1 (pow x 2)) 1)
(- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (pow x 2)) 1)) 1)) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 2/3 x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* x (+ 2/3 (* 2/5 (pow x 2))))
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 (* x (+ 1 x))))
(* (pow x 2) (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(* -1/2 (log -1))
(+ (* -1/2 (log -1)) (/ 1 x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -1 (log -1))
(- (* 2 (/ 1 x)) (log -1))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(* -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 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 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)))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 2/5 (pow x 3))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(* x (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(+ (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 (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)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
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)))
(/ 1 (pow x 2))
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 2/5 (pow x 3))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
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(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 2/5 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/5 binary64))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(* 2/5 (pow x 2))
(.f64 #s(literal 2/5 binary64) (.f64 x x))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(* x (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))))
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) x)
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64))) (log.f64 (neg.f64 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x))
(* -1 (log (/ -1 x)))
(log.f64 (neg.f64 x))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (log.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x) (log.f64 (neg.f64 x)))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 2/5 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/5 binary64))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2/5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal -2/5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal -2/5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))
(* 2/5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/5 binary64))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2/5 binary64)))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2/5 binary64)))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2/5 binary64)))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x))
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))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))) (*.f64 x x))
(/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (*.f64 x x))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 2/5 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/5 binary64))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x)
(* 2/5 (pow x 2))
(.f64 #s(literal 2/5 binary64) (.f64 x x))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))))
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) x)

rewrite245.0ms (2.2%)

Memory

-1.6MiB live, 239.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	269
0	79	197
1	262	196
2	1966	187
0	9176	183

Stop Event

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

Counts

26 → 1 764

Calls

Call 1

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

Outputs
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eval531.0ms (4.8%)

Memory: 15.0MiB live, 436.9MiB allocated
Compiler: Compiled 69 784 to 6 724 computations (90.4% saved)

prune49.0ms (0.4%)

Memory

-18.0MiB live, 144.6MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	2 112	1	2 113
Fresh	0	3	3
Picked	1	4	5
Done	0	3	3
Total	2 113	11	2 124

Accuracy

100.0%

Counts

2 124 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.6%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓	100.0%	(.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
✓	100.0%	(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))
	99.7%	(.f64 #s(approx (- ( (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	99.0%	(.f64 #s(approx (- ( (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
✓	99.5%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
✓	99.4%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
✓	97.6%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
	10.5%	(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))))
✓	10.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.0%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))

Compiler

Compiled 517 to 219 computations (57.6% saved)

regimes26.0ms (0.2%)

Memory

23.5MiB live, 59.8MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))

Calls

4 calls:

8.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
7.0ms	x
5.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
5.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes41.0ms (0.4%)

Memory

-30.5MiB live, 47.2MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(.f64 #s(approx (- ( (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(.f64 #s(approx (- ( (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) x) x) x (*.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))))
(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x))))

Outputs

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

Calls

4 calls:

6.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
6.0ms	x
5.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
5.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.7%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.7%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes10.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.5%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.5%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes19.0ms (0.2%)

Memory

-41.0MiB live, 20.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	x
2.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.4%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.4%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes7.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.0%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.0%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes5.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
97.6%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
97.6%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 28 to 21 computations (25% saved)

simplify61.0ms (0.6%)

Memory

9.6MiB live, 49.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	126
1	70	126
2	75	126
3	78	126
4	79	126

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(.f64 #s(approx (- ( (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))

Outputs
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 #s(approx (- ( (log (+ 1 x)) 2) (log (+ 1 (* (neg x) x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) x) x) x (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))

soundness1.6s (14.7%)

Memory

-34.2MiB live, 611.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	289
0	86	277
1	294	272
2	1844	272
0	8547	265
0	45	229
0	77	224
1	258	190
2	1933	190
0	9042	184
0	339	3250
1	998	3163
2	2564	3095
3	7241	3094
0	8191	2905
0	110	390
1	322	376
2	809	374
3	2101	370
4	3885	370
5	6111	370
0	8211	346
0	9	29
0	16	29
1	49	29
2	308	29
3	4075	29
0	9498	22

Stop Event

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

Compiler

Compiled 338 to 163 computations (51.8% saved)

preprocess62.0ms (0.6%)

Memory: 7.0MiB live, 85.0MiB allocated
Compiler: Compiled 180 to 90 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	22
1	29	20
2	53	20
3	94	20
4	155	20
5	276	20
6	514	20
7	596	20
8	604	20
0	9	10
0	16	10
1	22	10
2	26	10
3	31	10
4	38	10
5	48	10
6	64	10
7	85	10
8	115	10
9	165	10
10	208	10
11	301	10
12	476	10
13	654	10
0	654	10

Iter	Nodes	Cost
0	9	35
0	16	35
1	22	35
2	26	35
3	31	35
4	38	35
5	48	35
6	64	35
7	85	35
8	115	35
9	165	35
10	208	35
11	301	35
12	476	35
13	654	35
0	654	35

Iter	Nodes	Cost
0	12	22
1	29	20
2	53	20
3	94	20
4	155	20
5	276	20
6	514	20
7	596	20
8	604	20
0	9	10
0	16	10
1	22	10
2	26	10
3	31	10
4	38	10
5	48	10
6	64	10
7	85	10
8	115	10
9	165	10
10	208	10
11	301	10
12	476	10
13	654	10
0	654	10

Iter	Nodes	Cost
0	9	35
0	16	35
1	22	35
2	26	35
3	31	35
4	38	35
5	48	35
6	64	35
7	85	35
8	115	35
9	165	35
10	208	35
11	301	35
12	476	35
13	654	35
0	654	35

start0.0ms (0%)

analyze3.0ms (0%)

sample3.8s (34.1%)

explain264.0ms (2.4%)

preprocess46.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize103.0ms (0.9%)

series5.0ms (0%)

simplify177.0ms (1.6%)

rewrite117.0ms (1.1%)

eval179.0ms (1.6%)

prune39.0ms (0.4%)

simplify181.0ms (1.6%)

localize448.0ms (4.1%)

series26.0ms (0.2%)

simplify232.0ms (2.1%)

rewrite180.0ms (1.6%)

eval497.0ms (4.5%)

prune79.0ms (0.7%)

simplify127.0ms (1.2%)

localize449.0ms (4.1%)

series22.0ms (0.2%)

simplify223.0ms (2%)

rewrite200.0ms (1.8%)

eval224.0ms (2%)

prune53.0ms (0.5%)

simplify120.0ms (1.1%)

localize385.0ms (3.5%)

series23.0ms (0.2%)

simplify166.0ms (1.5%)

rewrite245.0ms (2.2%)

eval531.0ms (4.8%)

prune49.0ms (0.4%)

regimes26.0ms (0.2%)

regimes41.0ms (0.4%)

regimes10.0ms (0.1%)

regimes19.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

simplify61.0ms (0.6%)

soundness1.6s (14.7%)

preprocess62.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	22
1	29	20
2	53	20
3	94	20
4	155	20
5	276	20
6	514	20
7	596	20
8	604	20
0	9	10
0	16	10
1	22	10
2	26	10
3	31	10
4	38	10
5	48	10
6	64	10
7	85	10
8	115	10
9	165	10
10	208	10
11	301	10
12	476	10
13	654	10
0	654	10

Iter	Nodes	Cost
0	9	35
0	16	35
1	22	35
2	26	35
3	31	35
4	38	35
5	48	35
6	64	35
7	85	35
8	115	35
9	165	35
10	208	35
11	301	35
12	476	35
13	654	35
0	654	35