Metrics for Hyperbolic arc-(co)tangent

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory

11.2MiB live, 11.2MiB 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)

sample3.1s (28.1%)

Memory

21.7MiB live, 3 616.9MiB allocated

Samples

1.5s	3 108×	2	valid
1.1s	4 818×	1	valid
24.0ms	330×	0	valid
0.0ms	5×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-log: 1.3s (55% of total)

adjust: 338.0ms (14.7% of total)

ival-div: 335.0ms (14.6% of total)

ival-mult: 123.0ms (5.4% of total)

ival-add: 122.0ms (5.3% of total)

ival-sub: 95.0ms (4.1% of total)

exact: 8.0ms (0.3% of total)

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

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain321.0ms (2.9%)

Memory

23.0MiB live, 223.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
253	-	-	`(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	253	1

Confusion

	Predicted +	Predicted -
+	253	0
-	0	3

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	0	0
-	0	1	2

Precision?

0.9960629921259843

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

117.0ms	314×	1	valid
68.0ms	180×	2	valid
1.0ms	18×	0	valid

Compiler

Compiled 95 to 31 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-log: 59.0ms (36.4% of total)

ival-mult: 45.0ms (27.8% of total)

adjust: 33.0ms (20.4% of total)

ival-div: 12.0ms (7.4% of total)

ival-add: 6.0ms (3.7% of total)

ival-sub: 6.0ms (3.7% of total)

exact: 1.0ms (0.6% of total)

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

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

preprocess39.0ms (0.3%)

Memory

-13.4MiB live, 65.0MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
132×	`lower-*.f32`
130×	`lower-*.f64`
112×	`times-frac`

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.9%	(*.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 13 to 9 computations (30.8% saved)

simplify31.0ms (0.3%)

Memory

-3.0MiB live, 34.0MiB 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))

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
132×	`lower-*.f32`
130×	`lower-*.f64`
104×	`div-sub`

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 #s(literal 1/2 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 1/2 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)

localize99.0ms (0.9%)

Memory

7.3MiB live, 95.9MiB 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	0.0078125	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	58.97246430476224	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Samples

35.0ms	90×	2	valid
31.0ms	157×	1	valid
1.0ms	9×	0	valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-log: 30.0ms (57.2% of total)

adjust: 6.0ms (11.4% of total)

ival-div: 6.0ms (11.4% of total)

ival-mult: 4.0ms (7.6% of total)

ival-add: 3.0ms (5.7% of total)

ival-sub: 3.0ms (5.7% 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

7.7MiB live, 7.7MiB 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 (* 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 (* 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 (* 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 (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 (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 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 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 -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 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 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 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

12 calls:

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

simplify401.0ms (3.6%)

Memory

-4.4MiB live, 507.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 698×	`lower-fma.f64`
11 698×	`lower-fma.f32`
3 498×	`lower-*.f64`
3 498×	`lower-*.f32`
2 550×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	390
1	322	376
2	811	374
3	2110	370
4	3888	370
5	6111	370
0	8213	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))))))))
(* 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))))))
(* 1/2 (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)))
(* 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))))))))
(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))))))
(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 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-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))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

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

rewrite311.0ms (2.8%)

Memory

-14.7MiB live, 328.3MiB allocated

Rules

2 620×	`lower-fma.f64`
2 620×	`lower-fma.f32`
2 338×	`lower-*.f32`
2 336×	`lower-*.f64`
1 694×	`lower-/.f32`

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

eval136.0ms (1.2%)

Memory: 18.2MiB live, 200.6MiB allocated
Compiler: Compiled 23 113 to 3 090 computations (86.6% saved)

prune144.0ms (1.3%)

Memory

-19.0MiB live, 233.9MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	838	6	844
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	839	6	845

Accuracy

100.0%

Counts

845 → 6

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 x (neg.f64 x)))))
▶	99.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
	7.9%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	99.8%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
▶	99.6%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
▶	99.3%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 190 to 112 computations (41.1% saved)

simplify334.0ms (3%)

Memory

5.0MiB live, 353.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

11 960×	`lower-fma.f32`
11 942×	`lower-fma.f64`
3 198×	`lower-*.f32`
3 178×	`lower-*.f64`
2 412×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	341
0	78	323
1	157	323
2	345	323
3	784	321
4	1432	321
5	1936	321
6	2684	321
7	3454	321
8	4581	321
9	6113	321
0	8050	320

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

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

localize427.0ms (3.8%)

Memory

7.1MiB live, 443.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
accuracy	0.01171875	(fma.f64 (*.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64))
accuracy	0.015625	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) #s(literal 2/3 binary64))
accuracy	0.13013116700438918	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))))
accuracy	0.0859375	(.f64 x (.f64 x x))
accuracy	0.13013116700438918	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
accuracy	0.33984375	(*.f64 x #s(literal 1/7 binary64))
accuracy	0.3828125	(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
accuracy	0.015625	(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
accuracy	0.0859375	(.f64 x (.f64 x x))
accuracy	0.25077735803142837	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
accuracy	0.390625	(*.f64 x #s(literal 1/5 binary64))
accuracy	0	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
accuracy	0	(*.f64 x x)
accuracy	0.0859375	(.f64 x (.f64 x x))
accuracy	0.43195703574703725	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
accuracy	0	(neg.f64 x)
accuracy	0	(log1p.f64 x)
accuracy	0.00390625	(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 x (neg.f64 x))))
accuracy	0.0078125	(log1p.f64 (*.f64 x (neg.f64 x)))

Samples

147.0ms	157×	1	valid
146.0ms	90×	2	valid
3.0ms	9×	0	valid

Compiler

Compiled 311 to 48 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-mult: 67.0ms (30.3% of total)

adjust: 40.0ms (18.1% of total)

ival-log: 30.0ms (13.6% of total)

const: 27.0ms (12.2% of total)

ival-add: 21.0ms (9.5% of total)

ival-log1p: 18.0ms (8.1% of total)

ival-sub: 9.0ms (4.1% of total)

ival-div: 6.0ms (2.7% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory

3.9MiB live, 40.7MiB allocated

Counts

25 → 288

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

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(log (+ 1 (* x (neg x))))
1.0ms	x	@	inf	(* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* x (neg x))))))
1.0ms	x	@	0	(* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* x (neg x))))))
0.0ms	x	@	-inf	(* (/ 1 2) (- (* 2 (log (+ 1 x))) (log (+ 1 (* x (neg x))))))
0.0ms	x	@	inf	(* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 2/7) 2/5)) 2/3)) 2))

simplify475.0ms (4.3%)

Memory

16.4MiB live, 406.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 104×	`lower-fma.f64`
10 104×	`lower-fma.f32`
4 224×	`lower-+.f64`
4 224×	`lower-+.f32`
3 896×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	2827
1	953	2724
2	2516	2680
3	7090	2674
0	8130	2504

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 279

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

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

rewrite430.0ms (3.9%)

Memory

0.2MiB live, 471.5MiB allocated

Rules

5 842×	`lower-fma.f32`
5 824×	`lower-fma.f64`
4 132×	`lower-*.f32`
4 112×	`lower-*.f64`
3 374×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	277
0	78	258
1	313	258
2	2332	258
0	8131	253

Stop Event

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

Counts

25 → 389

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

Outputs
#s(literal 1/2 binary64)
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal 1/2 binary64) (neg.f64 (log1p.f64 (neg.f64 (.f64 x x))))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (log1p.f64 (neg.f64 (.f64 x x)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x)) (.f64 #s(literal 1/2 binary64) (neg.f64 (log1p.f64 (neg.f64 (*.f64 x x))))))
(fma.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64) (.f64 (neg.f64 (log1p.f64 (neg.f64 (*.f64 x x)))) #s(literal 1/2 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (neg.f64 (.f64 x x))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) (log1p.f64 (neg.f64 (.f64 x x)))) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) (log1p.f64 (neg.f64 (.f64 x x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 (neg.f64 (.f64 x x))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) (log1p.f64 (neg.f64 (.f64 x x)))) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) (log1p.f64 (neg.f64 (.f64 x x)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log1p.f64 (neg.f64 (.f64 x x))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) (log1p.f64 (neg.f64 (.f64 x x)))) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 x) (log1p.f64 (neg.f64 (.f64 x x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (log1p.f64 (neg.f64 (.f64 x x))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) (log1p.f64 (neg.f64 (.f64 x x)))) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))))) #s(literal 8/27 binary64))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))))) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal 2/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))))) #s(literal -4/9 binary64))) (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal -2/3 binary64))))
(/.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))))) (-.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal -2/3 binary64))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal -2/3 binary64)) #s(literal 4/9 binary64))) (.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal -2/3 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal -2/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))))) #s(literal 8/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))) #s(literal 4/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal 2/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))))) #s(literal -4/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal -2/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))))))) (neg.f64 (-.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8/343 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 2/7 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 2/7 binary64))))) (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 2/7 binary64))))) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 2/7 binary64)))))) #s(literal 3 binary64)) (.f64 #s(literal 8/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 2/7 binary64)))))) (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 2/7 binary64)))))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/5 binary64)) (.f64 (.f64 x x) #s(literal 2/5 binary64))) (.f64 (+.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 2/7 binary64)))))) (.f64 (.f64 x x) #s(literal 2/5 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))) #s(literal 4/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal 2/3 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))))) #s(literal 8/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal -2/3 binary64)) (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))))) #s(literal -4/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))))) #s(literal 8/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))) #s(literal 4/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal 2/3 binary64))))))
(.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))))) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal -2/3 binary64))))
(+.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x #s(literal 2/7 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 2/7 binary64))) #s(literal 2/5 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64)) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal -2/5 binary64))) (/.f64 #s(literal 4/25 binary64) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal -2/5 binary64))))
(-.f64 (/.f64 #s(literal 4/25 binary64) (-.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x #s(literal 2/7 binary64))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64)) (-.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x #s(literal 2/7 binary64))))))
(fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64))
(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
(fma.f64 (*.f64 x #s(literal 2/7 binary64)) x #s(literal 2/5 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64) (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 x x) #s(literal 4/35 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/343 binary64)) #s(literal 8/125 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal -2/5 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64) #s(literal -4/25 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/343 binary64)) #s(literal 8/125 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64) (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 x x) #s(literal 4/35 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/343 binary64)) #s(literal 8/125 binary64)) (+.f64 #s(literal 4/25 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64)) (.f64 (*.f64 x x) #s(literal 4/35 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64) (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 x x) #s(literal 4/35 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/343 binary64)) #s(literal 8/125 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal -2/5 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64) #s(literal -4/25 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64) #s(literal -4/25 binary64)) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal -2/5 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/343 binary64)) #s(literal 8/125 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64) (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 x x) #s(literal 4/35 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/343 binary64)) #s(literal 8/125 binary64))) (neg.f64 (+.f64 #s(literal 4/25 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64)) (.f64 (*.f64 x x) #s(literal 4/35 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64) #s(literal -4/25 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal -2/5 binary64))))
(/.f64 (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64))) (-.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x #s(literal 2/7 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64)) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal -2/5 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal -2/5 binary64)) #s(literal 4/25 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal -2/5 binary64)) (fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #s(literal -2/5 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/343 binary64)) #s(literal 8/125 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64) (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 x x) #s(literal 4/35 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64) #s(literal -4/25 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal -2/5 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64)))) (neg.f64 (-.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x #s(literal 2/7 binary64))))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64) (-.f64 #s(literal 4/25 binary64) (.f64 (.f64 x x) #s(literal 4/35 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/343 binary64)) #s(literal 8/125 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal -2/5 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64) #s(literal -4/25 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/343 binary64)) #s(literal 8/125 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64) (-.f64 #s(literal 4/25 binary64) (.f64 (*.f64 x x) #s(literal 4/35 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 4/49 binary64) #s(literal -4/25 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #s(literal -2/5 binary64))))

eval130.0ms (1.2%)

Memory: -30.1MiB live, 193.5MiB allocated
Compiler: Compiled 23 640 to 2 018 computations (91.5% saved)

prune190.0ms (1.7%)

Memory

10.6MiB live, 211.3MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	820	3	823
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	822	7	829

Accuracy

100.0%

Counts

829 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x)))) #s(literal 1/2 binary64))
▶	99.8%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal 2/3 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
▶	7.9%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.8%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
✓	99.6%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
✓	99.3%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
▶	6.1%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(approx (+ (* 1/3 (* x (* x x))) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))

Compiler

Compiled 101 to 61 computations (39.6% saved)

simplify248.0ms (2.2%)

Memory

11.3MiB live, 286.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

6 824×	`lower-fma.f32`
6 818×	`lower-fma.f64`
2 538×	`lower-*.f32`
2 518×	`lower-*.f64`
1 464×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	266
0	66	254
1	122	254
2	238	254
3	513	252
4	1073	252
5	1778	252
6	2349	252
7	3187	252
8	4189	252
9	5605	252
0	8508	249

Stop Event

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

Calls

Call 1

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

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

localize278.0ms (2.5%)

Memory

-9.6MiB live, 264.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (*.f64 x x))
accuracy	0	(log1p.f64 x)
accuracy	0.00390625	(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (.f64 x x))))
accuracy	0.0078125	(log1p.f64 (neg.f64 (*.f64 x x)))
accuracy	0.015625	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal 2/3 binary64))
accuracy	0.13013116700438918	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal 2/3 binary64)) #s(literal 2 binary64))))
accuracy	0.33984375	(*.f64 x #s(literal 2/7 binary64))
accuracy	0.3828125	(.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))
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	0.0078125	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	58.97246430476224	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy	0.0859375	(.f64 x (.f64 x x))
accuracy	0.171875	(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
accuracy	0.43195703574703725	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(approx (+ (* 1/3 (* x (* x x))) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
accuracy	60.07561028845814	#s(approx (+ (* 1/3 (* x (* x x))) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))

Samples

128.0ms	157×	1	valid
77.0ms	90×	2	valid
3.0ms	9×	0	valid

Compiler

Compiled 230 to 37 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-log: 38.0ms (24.7% of total)

ival-mult: 35.0ms (22.8% of total)

const: 29.0ms (18.9% of total)

adjust: 21.0ms (13.7% of total)

ival-add: 12.0ms (7.8% of total)

ival-div: 6.0ms (3.9% of total)

ival-log1p: 6.0ms (3.9% of total)

ival-sub: 5.0ms (3.3% of total)

ival-neg: 2.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

-12.0MiB live, 32.8MiB allocated

Counts

21 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* 1/3 (* x (* x x)))
0.0ms	x	@	-inf	(* x 2/7)
0.0ms	x	@	inf	(* 1/3 (* x (* x x)))
0.0ms	x	@	0	(* (- (* 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) 1/2)
0.0ms	x	@	0	(* x 2/7)

simplify413.0ms (3.7%)

Memory

18.3MiB live, 446.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 412×	`lower-fma.f64`
12 412×	`lower-fma.f32`
3 784×	`lower-*.f64`
3 784×	`lower-*.f32`
3 768×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	2513
1	911	2426
2	2348	2383
3	6482	2280
0	8198	2143

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 244

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

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

rewrite516.0ms (4.6%)

Memory

-4.2MiB live, 283.1MiB allocated

Rules

5 372×	`lower-*.f32`
5 352×	`lower-*.f64`
4 508×	`lower-/.f32`
4 506×	`lower-/.f64`
4 108×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	234
0	66	217
1	219	217
2	1514	217
0	8356	210

Stop Event

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

Counts

21 → 514

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(approx (+ (* 1/3 (* x (* x x))) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
#s(approx (+ (* 1/3 (* x (* x x))) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/3 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 x x))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)
(.f64 (.f64 (*.f64 x #s(literal 1/3 binary64)) x) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 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 #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 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (neg.f64 (.f64 x x))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (fma.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)) #s(literal -2/3 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))) #s(literal 4/9 binary64)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x #s(literal 2/3 binary64)))) (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))) #s(literal 8/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)) #s(literal -2/3 binary64)) (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal -4/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))) #s(literal 8/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)))) #s(literal 4/9 binary64)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (*.f64 x #s(literal 2/3 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64)) #s(literal -2/3 binary64))))
(log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 x x)) (-.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (neg.f64 (.f64 x x)) (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 x x))) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(-.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log1p.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log.f64 (fma.f64 (.f64 x x) (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (log1p.f64 (.f64 x x)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log1p.f64 (fma.f64 (.f64 x (.f64 x x)) x (.f64 x x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 x x))) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (neg.f64 (.f64 x x)) (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64))) (log.f64 (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (neg.f64 (.f64 x x)) (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 x (.f64 x x))) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log1p.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (log1p.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)))) (log1p.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)))) (.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log1p.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (log1p.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (log1p.f64 (.f64 x x)) (log1p.f64 (.f64 x x)) (.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (log1p.f64 (*.f64 x x))))))
(log1p.f64 (neg.f64 (*.f64 x x)))
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 0 binary64) (.f64 x x))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 x x))))
(neg.f64 (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 x x))))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x x))))))
(.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x)))
(*.f64 x (neg.f64 x))
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) x)
(.f64 #s(literal -1 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) x)

eval104.0ms (0.9%)

Memory: 25.3MiB live, 102.8MiB allocated
Compiler: Compiled 22 045 to 2 759 computations (87.5% saved)

prune282.0ms (2.5%)

Memory

5.7MiB live, 120.5MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	755	3	758
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	757	8	765

Accuracy

100.0%

Counts

765 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
▶	98.9%	(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal 2/3 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
▶	100.0%	(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	7.9%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.8%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
✓	99.6%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
✓	99.3%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 111 to 68 computations (38.7% saved)

simplify386.0ms (3.5%)

Memory

-39.6MiB live, 401.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

10 876×	`lower-fma.f32`
10 872×	`lower-fma.f64`
2 684×	`lower-*.f32`
2 672×	`lower-*.f64`
2 280×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	155
0	43	151
1	86	151
2	170	151
3	308	151
4	381	151
5	519	151
6	883	151
7	1489	151
8	2332	151
9	4542	151
10	6782	151
11	7094	151
12	7165	151
13	7181	151
14	7181	151
15	7917	151
0	8027	147

Stop Event

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

Calls

Call 1

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

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

localize82.0ms (0.7%)

Memory

2.1MiB live, 80.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
accuracy	0.015625	(fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))
accuracy	0.25077735803142837	#s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) #s(literal 2 binary64))))
accuracy	0	(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.6812918413101828	#s(approx (- (* 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (*.f64 x #s(literal 2 binary64)))
accuracy	0	(neg.f64 x)
accuracy	0	(log1p.f64 (neg.f64 x))
accuracy	0	(log1p.f64 x)
accuracy	0.01171875	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

Samples

55.0ms

256×

valid

Compiler

Compiled 146 to 24 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 11.0ms (37.8% of total)

const: 6.0ms (20.6% of total)

ival-log1p: 5.0ms (17.2% of total)

ival-add: 2.0ms (6.9% of total)

ival-sub: 2.0ms (6.9% of total)

ival-neg: 2.0ms (6.9% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* 1/2 (- (log (+ 1 x)) (log (+ 1 (neg x)))))
0.0ms	x	@	inf	(* x (+ (* (* x x) (+ (* (* x x) 2/5) 2/3)) 2))
0.0ms	x	@	inf	(* x 2)
0.0ms	x	@	-inf	(* x 2)
0.0ms	x	@	0	(* x (+ (* (* x x) (+ (* (* x x) 2/5) 2/3)) 2))

simplify383.0ms (3.4%)

Memory

-6.6MiB live, 427.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 366×	`lower-fma.f64`
15 366×	`lower-fma.f32`
4 132×	`lower-+.f64`
4 132×	`lower-+.f32`
3 762×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	1817
1	628	1751
2	1632	1720
3	4648	1480
0	8236	1388

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 164

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

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

rewrite265.0ms (2.4%)

Memory

9.8MiB live, 281.9MiB allocated

Rules

5 542×	`lower-fma.f32`
5 538×	`lower-fma.f64`
3 908×	`lower-*.f32`
3 898×	`lower-*.f64`
3 334×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	145
0	43	142
1	171	142
2	1223	124
0	9272	120

Stop Event

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

Counts

14 → 245

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (log1p.f64 (*.f64 x x)) (neg.f64 (log1p.f64 x)))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (neg.f64 (log1p.f64 (fma.f64 x x x))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x)))) (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(fma.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (neg.f64 (log1p.f64 x)))
(fma.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 x x)) #s(literal 0 binary64)))) (neg.f64 (log1p.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x x)))) (neg.f64 (log1p.f64 x)))
(fma.f64 (/.f64 (log1p.f64 (.f64 x x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 x) (log1p.f64 (.f64 x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) (neg.f64 (log1p.f64 x)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64))) (.f64 (.f64 x x) #s(literal 4/15 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal -2/5 binary64) (.f64 x x))) (+.f64 #s(literal 4/9 binary64) (.f64 #s(literal -4/25 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)) (.f64 (.f64 x x) #s(literal 4/15 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64)) (+.f64 #s(literal 4/9 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64))) (.f64 (*.f64 x x) #s(literal 4/15 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64)) #s(literal -4/9 binary64)) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)) (.f64 (.f64 x x) #s(literal 4/15 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64))) (neg.f64 (+.f64 #s(literal 4/9 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64))) (.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64)) #s(literal -4/9 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))))
(/.f64 (+.f64 #s(literal 4/9 binary64) (.f64 #s(literal -4/25 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal -2/5 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64))) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)) #s(literal 4/9 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 512/1953125 binary64) #s(literal 512/19683 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 64/15625 binary64) (-.f64 #s(literal 64/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64/3375 binary64)))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)) (.f64 (*.f64 x x) #s(literal 4/15 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 64/15625 binary64) #s(literal -64/729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal -8/27 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)) (.f64 (*.f64 x x) #s(literal 4/15 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 64/15625 binary64) #s(literal -64/729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 16/625 binary64) (+.f64 #s(literal 16/81 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16/225 binary64)))) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 16/625 binary64) #s(literal -16/81 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)) (.f64 (.f64 x x) #s(literal 4/15 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64)) #s(literal -4/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 4/9 binary64) (.f64 #s(literal -4/25 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal -2/5 binary64) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64))) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64))) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64))) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (fma.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64))) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64))) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64))) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)))) (.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64))) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))) (/.f64 #s(literal 4/9 binary64) (fma.f64 x (.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)) (.f64 (*.f64 x x) #s(literal 4/15 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/9 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64))) (.f64 (.f64 x x) #s(literal 4/15 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64)) #s(literal -4/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/125 binary64)) #s(literal 8/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64)) #s(literal 4/9 binary64)) (.f64 (*.f64 x x) #s(literal 4/15 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4/25 binary64)) #s(literal -4/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal -2/3 binary64)))))
(.f64 (+.f64 #s(literal 4/9 binary64) (.f64 #s(literal -4/25 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) (.f64 #s(literal -2/5 binary64) (*.f64 x x)))))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))
(/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (.f64 x x)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 x (.f64 x x))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 x x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x x)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))

eval59.0ms (0.5%)

Memory: 33.6MiB live, 70.7MiB allocated
Compiler: Compiled 11 647 to 1 404 computations (87.9% saved)

prune74.0ms (0.7%)

Memory

4.2MiB live, 84.5MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	443	1	444
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	443	9	452

Accuracy

100.0%

Counts

452 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	98.9%	(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #s(literal 2/5 binary64))) #s(literal 2/3 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	100.0%	(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	7.9%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.8%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
✓	99.6%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
✓	99.3%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
	5.3%	#s(literal 0 binary64)

Compiler

Compiled 288 to 132 computations (54.2% saved)

regimes16.0ms (0.1%)

Memory

-19.6MiB live, 19.2MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(approx (+ (* 1/3 (* x (* x x))) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #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 (log (/ (+ 1 x) (- 1 x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
(*.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 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (*.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 x (neg.f64 x)))))

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

Calls

4 calls:

4.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
4.0ms	x
3.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
3.0ms	(*.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 32 to 21 computations (34.4% saved)

regimes14.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(approx (+ (* 1/3 (* x (* x x))) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #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 (log (/ (+ 1 x) (- 1 x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
(*.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 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

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

Calls

4 calls:

4.0ms	x
3.0ms	(*.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))))
3.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
3.0ms	(/.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 32 to 21 computations (34.4% saved)

regimes16.0ms (0.1%)

Memory

-22.4MiB live, 16.4MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(approx (+ (* 1/3 (* x (* x x))) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/7 binary64)) #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 (log (/ (+ 1 x) (- 1 x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
(*.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))))

Outputs

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

Calls

4 calls:

6.0ms	(*.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))))
4.0ms	x
3.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
3.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes9.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(approx (+ (* 1/3 (* x (* x x))) x) (.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	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))))`
99.6%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.6%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes7.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes6.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(literal 0 binary64)

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	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))))`
98.9%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
98.9%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes13.0ms (0.1%)

Memory

-39.7MiB live, 8.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

10.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
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	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
5.3%	1	`x`
5.3%	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))))`
5.3%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
5.3%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify7.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	113
1	70	113
2	80	113
3	86	113
4	88	113

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(literal 0 binary64)

Outputs
(.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x)))) #s(literal 1/2 binary64))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 x (neg.f64 x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
(.f64 #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (- ( 2 (log (+ 1 x))) (log (+ 1 (neg (* x x))))) (*.f64 #s(literal 2 binary64) x)))
#s(literal 0 binary64)

soundness1.2s (10.8%)

Memory

21.3MiB live, 556.7MiB allocated

Rules

12 412×	`lower-fma.f64`
12 412×	`lower-fma.f32`
11 698×	`lower-fma.f64`
11 698×	`lower-fma.f32`
5 842×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	390
1	322	376
2	811	374
3	2110	370
4	3888	370
5	6111	370
0	8213	346
0	300	2513
1	911	2426
2	2348	2383
3	6482	2280
0	8198	2143
0	42	234
0	66	217
1	219	217
2	1514	217
0	8356	210
0	9	29
0	16	29
1	49	29
2	308	29
3	4075	29
0	9498	22
0	44	277
0	78	258
1	313	258
2	2332	258
0	8131	253
0	28	145
0	43	142
1	171	142
2	1223	124
0	9272	120

Stop Event

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

Compiler

Compiled 294 to 135 computations (54.1% saved)

preprocess73.0ms (0.7%)

Memory: -7.9MiB live, 82.6MiB allocated
Compiler: Compiled 166 to 78 computations (53% 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%)

sample3.1s (28.1%)

explain321.0ms (2.9%)

preprocess39.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.3%)

localize99.0ms (0.9%)

series5.0ms (0%)

simplify401.0ms (3.6%)

rewrite311.0ms (2.8%)

eval136.0ms (1.2%)

prune144.0ms (1.3%)

simplify334.0ms (3%)

localize427.0ms (3.8%)

series29.0ms (0.3%)

simplify475.0ms (4.3%)

rewrite430.0ms (3.9%)

eval130.0ms (1.2%)

prune190.0ms (1.7%)

simplify248.0ms (2.2%)

localize278.0ms (2.5%)

series22.0ms (0.2%)

simplify413.0ms (3.7%)

rewrite516.0ms (4.6%)

eval104.0ms (0.9%)

prune282.0ms (2.5%)

simplify386.0ms (3.5%)

localize82.0ms (0.7%)

series9.0ms (0.1%)

simplify383.0ms (3.4%)

rewrite265.0ms (2.4%)

eval59.0ms (0.5%)

prune74.0ms (0.7%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes16.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes13.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.2s (10.8%)

preprocess73.0ms (0.7%)

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