Metrics for Hyperbolic arc-(co)tangent

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

5.7MiB live, 5.7MiB 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)

sample3.2s (31.4%)

Memory

42.8MiB live, 3 487.0MiB allocated

Samples

1.6s	3 038×	2	valid
1.1s	4 882×	1	valid
36.0ms	336×	0	valid
0.0ms	3×	0	invalid

Precisions

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

ival-log: 1.2s (51.7% of total)

adjust: 358.0ms (15.5% of total)

ival-div: 326.0ms (14.1% of total)

ival-mult: 152.0ms (6.6% of total)

ival-add: 131.0ms (5.7% of total)

ival-sub: 130.0ms (5.6% 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

explain320.0ms (3.1%)

Memory

-0.4MiB live, 245.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(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	254	1

Confusion

	Predicted +	Predicted -
+	254	1
-	0	1

Precision

1.0

Recall

0.996078431372549

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	1	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

93.0ms	300×	1	valid
76.0ms	196×	2	valid
1.0ms	16×	0	valid

Compiler

Compiled 95 to 31 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-log: 97.0ms (67% of total)

adjust: 13.0ms (9% of total)

ival-div: 12.0ms (8.3% of total)

ival-mult: 8.0ms (5.5% of total)

ival-sub: 7.0ms (4.8% of total)

ival-add: 6.0ms (4.1% of total)

exact: 1.0ms (0.7% of total)

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

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

preprocess72.0ms (0.7%)

Memory

-27.7MiB live, 10.6MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify16.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB 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)

localize133.0ms (1.3%)

Memory

-41.7MiB live, 109.1MiB 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	0.0234375	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	58.74678581040135	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Samples

91.0ms	98×	2	valid
28.0ms	150×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-log: 47.0ms (66.5% of total)

ival-div: 7.0ms (9.9% of total)

adjust: 6.0ms (8.5% of total)

ival-add: 4.0ms (5.7% of total)

ival-mult: 4.0ms (5.7% of total)

ival-sub: 3.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory

3.0MiB live, 3.0MiB 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))))
1.0ms	x	@	inf	(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))
0.0ms	x	@	inf	(log (/ (+ 1 x) (- 1 x)))
0.0ms	x	@	inf	(/ (+ 1 x) (- 1 x))

simplify269.0ms (2.6%)

Memory

28.7MiB live, 258.3MiB 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))

rewrite270.0ms (2.6%)

Memory

10.8MiB live, 327.9MiB 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))))

eval199.0ms (2%)

Memory: 7.5MiB live, 243.8MiB allocated
Compiler: Compiled 23 113 to 3 090 computations (86.6% saved)

prune174.0ms (1.7%)

Memory

-17.6MiB live, 253.4MiB 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)))))
	8.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
▶	8.1%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	100.0%	#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))
▶	99.9%	#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))
▶	99.6%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 180 to 108 computations (40% saved)

simplify450.0ms (4.4%)

Memory

-3.6MiB live, 321.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 (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

17 000×	`lower-fma.f32`
16 988×	`lower-fma.f64`
3 548×	`lower-*.f32`
3 530×	`lower-*.f64`
2 488×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	258
0	70	240
1	117	240
2	197	240
3	397	238
4	738	238
5	1173	238
6	1770	238
7	2662	238
8	3823	238
9	5180	238
10	6654	238
11	7125	238
12	7458	238
13	7532	238
14	7762	238
15	7958	238
16	7970	238
17	7978	238
18	7982	238
19	7982	238
20	7982	238
0	8504	237

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 #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)

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 (.f64 x (.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 (.f64 x (.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 #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)

localize268.0ms (2.6%)

Memory

-5.0MiB live, 268.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	0.0234375	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	58.74678581040135	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy	0.01857377930532605	#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	0.09375	(.f64 x (.f64 x x))
accuracy	0.32421875	(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
accuracy	0.33203125	(*.f64 x #s(literal 1/7 binary64))
accuracy	0.00390625	(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
accuracy	0.08607322621204058	#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	0.09375	(.f64 x (.f64 x x))
accuracy	0.328125	(*.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	0.09375	(.f64 x (.f64 x x))
accuracy	0.2807344721830305	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))
accuracy	0	(*.f64 #s(literal 2 binary64) (log1p.f64 x))
accuracy	0	(neg.f64 x)
accuracy	0	(log1p.f64 x)
accuracy	0.00390625	(log1p.f64 (*.f64 x (neg.f64 x)))

Samples

120.0ms	150×	1	valid
94.0ms	98×	2	valid
2.0ms	8×	0	valid

Compiler

Compiled 253 to 40 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 50.0ms (28.4% of total)

ival-log: 46.0ms (26.1% of total)

adjust: 23.0ms (13% of total)

ival-add: 23.0ms (13% of total)

const: 15.0ms (8.5% of total)

ival-log1p: 7.0ms (4% of total)

ival-div: 6.0ms (3.4% of total)

ival-sub: 5.0ms (2.8% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

24 → 276

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 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 #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 (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>) () ())

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

Calls

69 calls:

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

simplify260.0ms (2.6%)

Memory

-13.4MiB live, 265.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 456×	`lower-fma.f64`
12 456×	`lower-fma.f32`
3 834×	`lower-*.f64`
3 834×	`lower-*.f32`
3 680×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	304	2579
1	922	2471
2	2391	2429
3	6653	2332
0	8244	2183

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 265

Calls

Call 1

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

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

rewrite317.0ms (3.1%)

Memory

17.2MiB live, 367.2MiB allocated

Rules

5 404×	`lower-*.f32`
5 386×	`lower-*.f64`
4 576×	`lower-/.f32`
4 574×	`lower-/.f64`
4 448×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	214
0	70	195
1	231	195
2	1611	195
0	8271	190

Stop Event

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

Counts

24 → 550

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 #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)
(log1p.f64 (*.f64 x (neg.f64 x)))
(log1p.f64 x)
(neg.f64 x)
(*.f64 x #s(literal 1/7 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 (.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))))))
(/.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)))))
(/.f64 (neg.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))) (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 x) (log1p.f64 (neg.f64 (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (log1p.f64 (neg.f64 (.f64 x x))))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (log1p.f64 (neg.f64 (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (neg.f64 (log1p.f64 (neg.f64 (.f64 x x)))))) (.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 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (.f64 x x)))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (log1p.f64 (neg.f64 (.f64 x x)))) #s(literal 1/2 binary64))) (.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))))))
(.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 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x)))))
(+.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 (.f64 x x)))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 (.f64 x x)))) (.f64 #s(literal 2 binary64) (log1p.f64 x)))
(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 (.f64 x x))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 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 (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 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) (log1p.f64 (neg.f64 (.f64 x x))))) (/.f64 (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 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 (.f64 x x)))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 (.f64 x x)))))))
(fma.f64 #s(literal 2 binary64) (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 (*.f64 x x)))))
(fma.f64 (log1p.f64 x) #s(literal 2 binary64) (neg.f64 (log1p.f64 (neg.f64 (*.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 (.f64 x x))) (.f64 #s(literal 2 binary64) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.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 (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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 x) (log1p.f64 (neg.f64 (.f64 x x)))) (-.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)))))
(/.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))) (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 (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 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 (.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (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))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 x) (log1p.f64 (neg.f64 (.f64 x x)))) (-.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))))))
(/.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))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) (log1p.f64 (neg.f64 (*.f64 x x)))))
(/.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))) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 (.f64 x x))))))
(/.f64 (neg.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)))) (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 (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 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 (.f64 x x)))))))))
(/.f64 (neg.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)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 x) (log1p.f64 (neg.f64 (*.f64 x x))))))
(/.f64 (neg.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)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 (.f64 x x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 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 (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))) (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 3 binary64)))) (.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))) (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 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 9 binary64)) (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (.f64 x x))) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (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)))))
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(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (neg.f64 (fma.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.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 #s(literal 1 binary64) x)))
(/.f64 (.f64 (neg.f64 (fma.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.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 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 (neg.f64 (.f64 x x)) (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1 binary64)) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (fma.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 x x)) (-.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 (fma.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 x x)) (-.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (fma.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 x x)) (-.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 x x)) (-.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (.f64 x 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 (neg.f64 (.f64 x x)) (.f64 (.f64 x 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 x) (.f64 (.f64 x 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 x) (.f64 (.f64 x 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 (neg.f64 (fma.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 x 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))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (log1p.f64 (fma.f64 (.f64 x x) (.f64 x x) (.f64 x x))))
(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 (neg.f64 (.f64 x x)) (.f64 (.f64 x 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))))))
(log1p.f64 (neg.f64 (*.f64 x x)))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(log1p.f64 x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
(neg.f64 x)
(/.f64 (neg.f64 (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal 1/7 binary64))
(*.f64 #s(literal 1/7 binary64) x)

eval292.0ms (2.9%)

Memory: -18.9MiB live, 232.2MiB allocated
Compiler: Compiled 25 070 to 2 609 computations (89.6% saved)

prune250.0ms (2.5%)

Memory

-9.9MiB live, 152.9MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	907	4	911
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	909	8	917

Accuracy

100.0%

Counts

917 → 8

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)) #s(approx (log (+ 1 (* x (neg x)))) (.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))))))
✓	8.1%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	8.1%	(.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
▶	99.8%	(.f64 #s(literal 1/2 binary64) #s(approx (log (/ (+ 1 x) (- 1 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)))))
▶	99.1%	(.f64 #s(literal 1/2 binary64) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))))
✓	100.0%	#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))
✓	99.9%	#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))
✓	99.6%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 128 to 75 computations (41.4% saved)

simplify274.0ms (2.7%)

Memory

44.9MiB live, 235.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) (log1p.f64 x))
cost-diff	0	(-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 ( x (neg x)))) (.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)))))
cost-diff	448	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* x (neg x)))) (.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))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	0	(log.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
cost-diff	320	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
cost-diff	512	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 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 x (*.f64 x #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 #s(literal 2/5 binary64)) #s(literal 2/3 binary64)) #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (/ (+ 1 x) (- 1 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)))))
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))))
cost-diff	128	(*.f64 x #s(literal 2 binary64))

Rules

15 962×	`lower-fma.f32`
15 952×	`lower-fma.f64`
4 382×	`lower-*.f32`
4 360×	`lower-*.f64`
1 760×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	351
0	74	342
1	156	342
2	373	338
3	834	336
4	1614	336
5	3778	336
6	5681	320
0	8193	316

Stop Event

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

Calls

Call 1

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

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

localize458.0ms (4.5%)

Memory

0.7MiB live, 442.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(log1p.f64 x)
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal -1/3 binary64))
accuracy	0.015625	(.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)))
accuracy	0.02334874970117155	#s(approx (log (+ 1 (* x (neg x)))) (.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))))
accuracy	0	(.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
accuracy	0.0078125	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.03125	(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
accuracy	58.74678581040135	(log.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
accuracy	0.00390625	(fma.f64 x (*.f64 x #s(literal 2/5 binary64)) #s(literal 2/3 binary64))
accuracy	0.015625	(.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)))
accuracy	0.08607322621204058	#s(approx (log (/ (+ 1 x) (- 1 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))))
accuracy	0.328125	(*.f64 x #s(literal 2/5 binary64))
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))))
accuracy	0.5806257719450987	#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))

Samples

148.0ms	150×	1	valid
140.0ms	98×	2	valid
3.0ms	8×	0	valid

Compiler

Compiled 280 to 45 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-log: 63.0ms (29.3% of total)

ival-mult: 46.0ms (21.4% of total)

ival-sub: 32.0ms (14.9% of total)

adjust: 24.0ms (11.2% of total)

const: 17.0ms (7.9% of total)

ival-add: 15.0ms (7% of total)

ival-div: 11.0ms (5.1% of total)

ival-log1p: 6.0ms (2.8% of total)

exact: 1.0ms (0.5% of total)

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

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

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

series19.0ms (0.2%)

Memory

-3.2MiB live, 34.7MiB allocated

Counts

21 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(* x 2)
0.0ms	x	@	inf	(* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) -1/4) -1/3)) -1/2)) -1))
0.0ms	x	@	-inf	(* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2))
0.0ms	x	@	inf	(* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2))
0.0ms	x	@	-inf	(* x 2)

simplify299.0ms (2.9%)

Memory

-1.5MiB live, 346.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 142×	`lower-fma.f64`
10 142×	`lower-fma.f32`
4 134×	`lower-+.f64`
4 134×	`lower-+.f32`
3 710×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	312	2570
1	940	2493
2	2465	2434
3	6896	2427
0	8092	2281

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 235

Calls

Call 1

Inputs
(* 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 (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)))
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 (* 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
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) 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)
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)))
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))))))
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 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)))))
(* -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))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(* -1/4 (pow x 8))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1/4 (pow x 8))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
-1/3
(- (* -1/4 (pow x 2)) 1/3)
(- (* -1/4 (pow x 2)) 1/3)
(- (* -1/4 (pow x 2)) 1/3)
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 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))))

Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 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 (.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 #s(literal 2 binary64) x)
(* 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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(+ (* 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)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x 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 (/ (- (* -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 #s(literal 2 binary64) x)
(* 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)))
(* -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 #s(literal 2/3 binary64) (.f64 x (.f64 x x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))) (-.f64 (/.f64 #s(literal 2/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) x)) (log.f64 #s(literal -1 binary64))))
(- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x)))))
(-.f64 (*.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)))))) (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 #s(literal 2 binary64) x)) (-.f64 (/.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 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 x x))) (.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 #s(literal 2 binary64) x)
(* 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))
(* 2/5 x)
(*.f64 x #s(literal 2/5 binary64))
(* 2/5 x)
(*.f64 x #s(literal 2/5 binary64))
(* 2/5 x)
(*.f64 x #s(literal 2/5 binary64))
(* 2/5 x)
(*.f64 x #s(literal 2/5 binary64))
(* 2/5 x)
(*.f64 x #s(literal 2/5 binary64))
(* 2/5 x)
(*.f64 x #s(literal 2/5 binary64))
(* 2/5 x)
(*.f64 x #s(literal 2/5 binary64))
(* 2/5 x)
(*.f64 x #s(literal 2/5 binary64))
(* 2/5 x)
(*.f64 x #s(literal 2/5 binary64))
(* 2/5 x)
(*.f64 x #s(literal 2/5 binary64))
(* 2/5 x)
(*.f64 x #s(literal 2/5 binary64))
(* 2/5 x)
(*.f64 x #s(literal 2/5 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 (* 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))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(.f64 (.f64 x 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 (fma.f64 #s(literal 2 binary64) (log.f64 x) (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))))
(+ (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)))
(fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (+.f64 (log.f64 #s(literal -1 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 (/.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 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(.f64 (.f64 x 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)))
(* -1/4 (pow x 8))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x)))))
(* -1/4 (pow x 8))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x)))))
-1/3
#s(literal -1/3 binary64)
(- (* -1/4 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(- (* -1/4 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(- (* -1/4 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal -1/3 binary64))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.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 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x))

rewrite293.0ms (2.9%)

Memory

-22.4MiB live, 303.9MiB allocated

Rules

4 522×	`lower-fma.f32`
4 512×	`lower-fma.f64`
4 038×	`lower-*.f32`
4 016×	`lower-*.f64`
3 646×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	289
0	74	258
1	290	258
2	2189	258
0	8223	242

Stop Event

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

Counts

21 → 716

Calls

Call 1

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

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

eval137.0ms (1.3%)

Memory: 25.2MiB live, 176.8MiB allocated
Compiler: Compiled 31 446 to 3 552 computations (88.7% saved)

prune140.0ms (1.4%)

Memory

-4.3MiB live, 198.6MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	950	1	951
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	951	8	959

Accuracy

100.0%

Counts

959 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64))
✓	8.1%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	8.1%	(.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) #s(approx (log (/ (+ 1 x) (- 1 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)))))
✓	99.1%	(.f64 #s(literal 1/2 binary64) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))))
✓	100.0%	#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))
✓	99.9%	#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))
✓	99.6%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 126 to 75 computations (40.5% saved)

simplify228.0ms (2.2%)

Memory

19.8MiB live, 179.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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)) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
cost-diff	448	(.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64))

Rules

11 824×	`lower-fma.f32`
11 818×	`lower-fma.f64`
3 234×	`lower-*.f32`
3 224×	`lower-*.f64`
2 260×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	168
0	37	168
1	82	165
2	222	161
3	566	159
4	1291	159
5	3079	159
6	5028	159
7	6663	159
8	7924	159
0	8421	155

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (1.2%)

Memory

-2.5MiB live, 79.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(log1p.f64 x)
accuracy	0.0078125	(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
accuracy	0.015625	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
accuracy	0.02334874970117155	#s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))

Samples

59.0ms

256×

valid

Compiler

Compiled 124 to 25 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 17.0ms (51.1% of total)

ival-add: 4.0ms (12% of total)

ival-log1p: 4.0ms (12% of total)

const: 4.0ms (12% of total)

ival-sub: 1.0ms (3% of total)

exact: 1.0ms (3% of total)

ival-neg: 1.0ms (3% of total)

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

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

series26.0ms (0.3%)

Memory

-33.3MiB live, 5.0MiB allocated

Counts

7 → 84

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#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 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1/2 (pow x 2)) 1)) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1)) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<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 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -2 (log (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2))) (taylor inf x) (#s(alt #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<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 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<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 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -2 (log (/ -1 x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<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 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<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 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1/2 (pow x 2)) 1)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<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 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow x 8)) (taylor inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4)) (taylor inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow x 8)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/4 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/4 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/4 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())

Calls

21 calls:

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

simplify237.0ms (2.3%)

Memory

30.1MiB live, 218.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 696×	`lower-fma.f64`
14 696×	`lower-fma.f32`
4 078×	`lower-+.f64`
4 078×	`lower-+.f32`
3 958×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	1148
1	708	1103
2	1896	1061
3	5416	969
0	8476	911

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

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 (* -1/2 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 (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))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(* -1/4 (pow x 8))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1/4 (pow x 8))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
-1/3
(- (* -1/4 (pow x 2)) 1/3)
(- (* -1/4 (pow x 2)) 1/3)
(- (* -1/4 (pow x 2)) 1/3)
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 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 1/5 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) 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 (- (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (+ (log -1) (* -2 (log (/ -1 x))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 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 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 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 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 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 1/2 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 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)))
(* -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 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))) (/.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 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
(- (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 2 (/ 1 x))) (+ (log -1) (* -2 (log (/ -1 x)))))
(+.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 #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 (.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x 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)))))
(-.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64))) (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))
(* 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 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) x))
(- (+ (* -2 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2/3 binary64) x)) 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 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) 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))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(.f64 (.f64 x 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 x (*.f64 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 #s(literal -1 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(.f64 (.f64 x 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 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* -1/4 (pow x 8))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x)))))
(* -1/4 (pow x 8))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x)))))
-1/3
#s(literal -1/3 binary64)
(- (* -1/4 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(- (* -1/4 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(- (* -1/4 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))

rewrite280.0ms (2.7%)

Memory

21.2MiB live, 260.8MiB allocated

Rules

6 586×	`lower-fma.f32`
6 580×	`lower-fma.f64`
4 732×	`lower-*.f32`
4 722×	`lower-*.f64`
3 854×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	128
0	37	128
1	157	125
2	1204	121
0	8412	118

Stop Event

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

Counts

7 → 202

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x))) (neg.f64 (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))))))
(+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))))) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 x))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64)) (neg.f64 (.f64 #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64) (neg.f64 (.f64 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log1p.f64 x)) (neg.f64 (.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log1p.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64)) (.f64 #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) (.f64 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (.f64 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64)) (.f64 #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) (.f64 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))) (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (.f64 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64)) (.f64 #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) (.f64 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))))))) (fma.f64 #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))) (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)) (.f64 #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 3 binary64)) (.f64 #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) (.f64 #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))))) #s(literal 1/2 binary64)) (fma.f64 #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))) (fma.f64 #s(literal 2 binary64) (log1p.f64 x) #s(approx (log (+ 1 ( x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))) (pow.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 2 binary64))))
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eval73.0ms (0.7%)

Memory: -15.5MiB live, 59.7MiB allocated
Compiler: Compiled 17 764 to 1 272 computations (92.8% saved)

prune59.0ms (0.6%)

Memory

-15.7MiB live, 67.6MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	284	8	292

Accuracy

100.0%

Counts

292 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(approx (log (+ 1 (* x (neg x)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64))
✓	8.1%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	8.1%	(.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) #s(approx (log (/ (+ 1 x) (- 1 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)))))
✓	99.1%	(.f64 #s(literal 1/2 binary64) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))))
✓	100.0%	#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))
✓	99.9%	#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))
✓	99.6%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))

Compiler

Compiled 319 to 142 computations (55.5% saved)

regimes14.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

12 → 1

Calls

Call 1

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

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	(/.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)))

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)

regimes28.0ms (0.3%)

Memory

-25.2MiB live, 13.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

regimes7.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	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))))`
99.9%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.9%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

#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:

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))
1.0ms	(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)

regimes4.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	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))))`
99.1%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.1%	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

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	121
1	63	121
2	66	121
3	68	121
4	69	121

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness905.0ms (8.9%)

Memory

11.8MiB live, 399.2MiB allocated

Rules

12 456×	`lower-fma.f64`
12 456×	`lower-fma.f32`
11 698×	`lower-fma.f64`
11 698×	`lower-fma.f32`
4 522×	`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	304	2579
1	922	2471
2	2391	2429
3	6653	2332
0	8244	2183
0	9	29
0	16	29
1	49	29
2	308	29
3	4075	29
0	9498	22
0	44	289
0	74	258
1	290	258
2	2189	258
0	8223	242

Stop Event

1×	done
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 219 to 98 computations (55.3% saved)

preprocess47.0ms (0.5%)

Memory: -20.7MiB live, 56.0MiB allocated
Compiler: Compiled 180 to 82 computations (54.4% 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%)

sample3.2s (31.4%)

explain320.0ms (3.1%)

preprocess72.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.2%)

localize133.0ms (1.3%)

series5.0ms (0%)

simplify269.0ms (2.6%)

rewrite270.0ms (2.6%)

eval199.0ms (2%)

prune174.0ms (1.7%)

simplify450.0ms (4.4%)

localize268.0ms (2.6%)

series21.0ms (0.2%)

simplify260.0ms (2.6%)

rewrite317.0ms (3.1%)

eval292.0ms (2.9%)

prune250.0ms (2.5%)

simplify274.0ms (2.7%)

localize458.0ms (4.5%)

series19.0ms (0.2%)

simplify299.0ms (2.9%)

rewrite293.0ms (2.9%)

eval137.0ms (1.3%)

prune140.0ms (1.4%)

simplify228.0ms (2.2%)

localize123.0ms (1.2%)

series26.0ms (0.3%)

simplify237.0ms (2.3%)

rewrite280.0ms (2.7%)

eval73.0ms (0.7%)

prune59.0ms (0.6%)

regimes14.0ms (0.1%)

regimes28.0ms (0.3%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

simplify7.0ms (0.1%)

soundness905.0ms (8.9%)

preprocess47.0ms (0.5%)

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