Metrics for Hyperbolic arc-(co)tangent

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample2.1s (34.2%)

Memory

451.5MiB live, 451.5MiB allocated

Samples

1.0s	3 053×	2	valid
781.0ms	4 891×	1	valid
20.0ms	312×	0	valid
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-log: 911.0ms (57.6% of total)

adjust: 182.0ms (11.5% of total)

ival-div: 179.0ms (11.3% of total)

ival-mult: 108.0ms (6.8% of total)

ival-add: 101.0ms (6.4% of total)

ival-sub: 83.0ms (5.2% of total)

exact: 8.0ms (0.5% of total)

ival-true: 7.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain235.0ms (3.8%)

Memory

84.7MiB live, 84.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(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	255	0

Confusion

	Predicted +	Predicted -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

72.0ms	198×	2	valid
53.0ms	292×	1	valid
2.0ms	22×	0	valid

Compiler

Compiled 211 to 102 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-log: 59.0ms (57.3% of total)

adjust: 12.0ms (11.7% of total)

ival-div: 11.0ms (10.7% of total)

ival-mult: 7.0ms (6.8% of total)

ival-add: 6.0ms (5.8% of total)

ival-sub: 6.0ms (5.8% of total)

ival-true: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

preprocess28.0ms (0.5%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(*.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))))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify13.0ms (0.2%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize83.0ms (1.3%)

Memory

17.4MiB live, 17.4MiB 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	0.01953125	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	58.845749038714544	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Samples

40.0ms	99×	2	valid
30.0ms	146×	1	valid
1.0ms	11×	0	valid

Compiler

Compiled 80 to 20 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-log: 30.0ms (53.3% of total)

ival-div: 7.0ms (12.4% of total)

adjust: 6.0ms (10.7% of total)

ival-add: 4.0ms (7.1% of total)

ival-mult: 4.0ms (7.1% of total)

ival-sub: 3.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

5 → 48

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify129.0ms (2.1%)

Memory

31.4MiB live, 31.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

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

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

rewrite108.0ms (1.7%)

Memory

38.5MiB live, 38.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 799

Calls

Call 1

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

Outputs
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eval126.0ms (2%)

Memory: 80.0MiB live, 80.0MiB allocated
Compiler: Compiled 20 957 to 3 119 computations (85.1% saved)

prune31.0ms (0.5%)

Memory

33.7MiB live, 33.7MiB 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
▶	99.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
▶	99.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
▶	99.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
▶	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
	8.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	99.8%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))

Compiler

Compiled 158 to 114 computations (27.8% saved)

simplify136.0ms (2.2%)

Memory

26.5MiB live, 26.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	322
0	63	322
1	105	322
2	171	322
3	322	322
4	644	322
5	944	322
6	977	322
7	1378	322
8	1758	322
9	1940	322
10	2154	322
11	2331	322
12	2995	322
13	4494	322
14	7628	322
0	8022	322

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

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

localize224.0ms (3.6%)

Memory

62.5MiB live, 62.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.14524670862875344	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.0078125	(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
accuracy	0.11756426406582496	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.14524670862875344	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
accuracy	0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
accuracy	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.17781501914233838	#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 #s(literal 2 binary64) x))
accuracy	0.00390625	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.0078125	(fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
accuracy	0.09036038380489264	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))

Samples

92.0ms	146×	1	valid
91.0ms	99×	2	valid
4.0ms	11×	0	valid

Compiler

Compiled 524 to 67 computations (87.2% saved)

Precisions

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

ival-mult: 35.0ms (24.2% of total)

ival-log: 32.0ms (22.1% of total)

adjust: 21.0ms (14.5% of total)

const: 20.0ms (13.8% of total)

ival-add: 20.0ms (13.8% of total)

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

ival-pow: 5.0ms (3.5% of total)

ival-sub: 3.0ms (2.1% of total)

exact: 1.0ms (0.7% of total)

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

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

series20.0ms (0.3%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

20 → 228

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((/ 1 2) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* 2/3 (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (* x x) (+ (* 2/5 (* x x)) 2/3))
4.0ms	x	@	-inf	((/ 1 2) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* 2/3 (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (* x x) (+ (* 2/5 (* x x)) 2/3))
2.0ms	x	@	0	((/ 1 2) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* 2 x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* 2/3 (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (log (/ (+ 1 x) (- 1 x))) (* (+ (* (+ (* 2/5 (* x x)) 2/3) (* x x)) 2) x) (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+ (* (pow x 3) 1/3) x) (pow x 3) (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (+ (* 2/7 (* x x)) 2/5) (* x x) (+ (* 2/5 (* x x)) 2/3))

Time

Variable

Point

Expression

4.0ms

inf

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

4.0ms

-inf

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

2.0ms

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

simplify129.0ms (2.1%)

Memory

35.2MiB live, 35.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	2074
1	427	2017
2	1146	2003
3	3260	2000
4	6586	2000
0	8118	1854

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 222

Calls

Call 1

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

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

rewrite135.0ms (2.2%)

Memory

47.3MiB live, 47.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	259
0	63	259
1	219	259
2	1437	259
0	8271	241

Stop Event

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

Counts

20 → 257

Calls

Call 1

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

Outputs
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eval80.0ms (1.3%)

Memory: 50.3MiB live, 50.3MiB allocated
Compiler: Compiled 13 502 to 1 827 computations (86.5% saved)

prune23.0ms (0.4%)

Memory

25.8MiB live, 25.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	578	4	582
Fresh	0	1	1
Picked	5	0	5
Done	0	0	0
Total	583	5	588

Accuracy

100.0%

Counts

588 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
▶	99.8%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
▶	99.7%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶	8.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	99.8%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))

Compiler

Compiled 124 to 88 computations (29% saved)

simplify134.0ms (2.1%)

Memory

26.1MiB live, 26.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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	(fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
cost-diff	-5824	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	303
0	61	303
1	98	297
2	160	297
3	332	297
4	720	297
5	1024	297
6	1058	297
7	1463	297
8	1831	297
9	2014	297
10	2226	297
11	2409	297
12	3075	297
13	4574	297
14	7701	297
0	8066	297

Stop Event

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

Calls

Call 1

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

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

localize212.0ms (3.4%)

Memory

59.7MiB live, 59.7MiB allocated

Localize:

Found 19 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	0.01953125	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	58.845749038714544	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.0078125	(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
accuracy	0.11756426406582496	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy	0	(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x)
accuracy	0	(*.f64 x x)
accuracy	0.09375	(.f64 (.f64 x x) x)
accuracy	0.14524670862875344	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
accuracy	0	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.17781501914233838	#s(approx (log (/ (+ 1 x) (- 1 x))) (*.f64 x #s(literal 2 binary64)))
accuracy	0.00390625	(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64))
accuracy	0.01171875	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
accuracy	0.09036038380489264	#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))

Samples

86.0ms	99×	2	valid
86.0ms	146×	1	valid
3.0ms	11×	0	valid

Compiler

Compiled 484 to 66 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-mult: 37.0ms (27% of total)

ival-log: 32.0ms (23.3% of total)

const: 20.0ms (14.6% of total)

adjust: 18.0ms (13.1% of total)

ival-add: 18.0ms (13.1% of total)

ival-div: 7.0ms (5.1% of total)

ival-sub: 3.0ms (2.2% of total)

exact: 1.0ms (0.7% of total)

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

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

series17.0ms (0.3%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

22 → 264

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify148.0ms (2.4%)

Memory

41.5MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	2406
1	535	2343
2	1392	2329
3	3798	2314
4	7559	2314
0	8082	2156

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 256

Calls

Call 1

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

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

rewrite142.0ms (2.3%)

Memory

52.0MiB live, 52.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	275
0	61	269
1	197	269
2	1287	269
0	8236	251

Stop Event

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

Counts

22 → 551

Calls

Call 1

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

Outputs
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eval132.0ms (2.1%)

Memory: 83.0MiB live, 83.0MiB allocated
Compiler: Compiled 22 232 to 3 404 computations (84.7% saved)

prune35.0ms (0.6%)

Memory

37.7MiB live, 37.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	916	1	917
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	916	6	922

Accuracy

100.0%

Counts

922 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
✓	99.9%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
✓	99.7%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	8.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.8%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))

Compiler

Compiled 85 to 59 computations (30.6% saved)

simplify436.0ms (7%)

Memory

21.9MiB live, 21.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)))))
cost-diff	0	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	141
0	29	141
1	49	135
2	90	135
3	248	135
4	662	135
5	1190	135
6	1256	135
7	1460	135
8	1763	135
9	1817	135
10	1927	135
11	2813	135
12	4001	135
13	5052	135
14	5729	135
15	5824	135
16	5999	135
17	6150	135
18	6430	135
19	6572	135
20	6610	135
21	6610	135
22	6610	135
23	6641	135
24	6643	135
25	6643	135
26	6643	135
27	6651	135
0	6651	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize145.0ms (2.3%)

Memory

35.3MiB live, 35.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
accuracy	0.09036038380489264	#s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)))))

Samples

63.0ms	99×	2	valid
60.0ms	146×	1	valid
2.0ms	11×	0	valid

Compiler

Compiled 238 to 38 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-log: 31.0ms (30% of total)

const: 17.0ms (16.4% of total)

ival-mult: 14.0ms (13.5% of total)

adjust: 12.0ms (11.6% of total)

ival-div: 12.0ms (11.6% of total)

ival-add: 12.0ms (11.6% of total)

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

exact: 1.0ms (1% of total)

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

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

series6.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

5 → 60

Calls

Call 1

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

Outputs
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<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 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2/7 (pow x 7)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor -inf x) (#s(alt (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 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(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #<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 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #<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 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) (patch #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 7/2 (pow x 6)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 7/2 (* 49/10 (/ 1 (pow x 2)))) (pow x 6)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 7/2 (* -1 (/ (+ 49/10 (* 98/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 7/2 (* -1 (/ (+ 98/75 (* 4214/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/10 (/ 1 (pow x 2)))) (pow x 6)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2/7 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify127.0ms (2%)

Memory

32.4MiB live, 32.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	702
1	442	690
2	1119	686
3	3089	686
4	6254	686
0	8159	641

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
1/2
(+ 1/2 (* -1/6 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* -2/45 (pow x 2)) 1/6)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -22/945 (pow x 2)) 2/45)) 1/6)))
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(/ 7/2 (pow x 6))
(/ (- 7/2 (* 49/10 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 7/2 (* -1 (/ (+ 49/10 (* 98/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))
(/ (- (+ 7/2 (* -1 (/ (+ 98/75 (* 4214/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/10 (/ 1 (pow x 2)))) (pow x 6))
(* 2/7 (pow x 4))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* 2/7 (pow x 7))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(/ 7/2 (pow x 6))
(/ (- 7/2 (* 49/10 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 7/2 (* -1 (/ (+ 49/10 (* 98/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))
(/ (- (+ 7/2 (* -1 (/ (+ 98/75 (* 4214/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/10 (/ 1 (pow x 2)))) (pow x 6))
(* 2/7 (pow x 4))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))

Outputs
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* -2/45 (pow x 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -22/945 (pow x 2)) 2/45)) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -22/945 binary64) (.f64 x x) #s(literal -2/45 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f64 #s(literal 2/5 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(* 2/7 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 2/7 binary64))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (.f64 x x)) #s(literal -2/7 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal -2/5 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 2/7 (+ (/ 2/3 (pow x 4)) (+ (* 2/5 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2/7 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -2/5 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 #s(literal -1 binary64)))
(/ 7/2 (pow x 6))
(/.f64 #s(literal 7/2 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 7/2 (* 49/10 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (-.f64 #s(literal 7/2 binary64) (/.f64 #s(literal 49/10 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 7/2 (* -1 (/ (+ 49/10 (* 98/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))
(-.f64 (/.f64 #s(literal 7/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 98/75 binary64) (*.f64 x x)) #s(literal 49/10 binary64)) (pow.f64 x #s(literal 8 binary64))))
(/ (- (+ 7/2 (* -1 (/ (+ 98/75 (* 4214/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/10 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -98/75 binary64) (/.f64 #s(literal 4214/375 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 49/10 binary64) (.f64 x x)) #s(literal 7/2 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* 2/7 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/7 binary64))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x)
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(* 2/7 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 2/7 binary64))
(* (pow x 7) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (.f64 x x)) #s(literal -2/7 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 2/7)))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/7 binary64)) (/.f64 #s(literal -2/5 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2 (log -1))
(*.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) x))
(/ 7/2 (pow x 6))
(/.f64 #s(literal 7/2 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 7/2 (* 49/10 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (-.f64 #s(literal 7/2 binary64) (/.f64 #s(literal 49/10 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 7/2 (* -1 (/ (+ 49/10 (* 98/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))
(-.f64 (/.f64 #s(literal 7/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 98/75 binary64) (*.f64 x x)) #s(literal 49/10 binary64)) (pow.f64 x #s(literal 8 binary64))))
(/ (- (+ 7/2 (* -1 (/ (+ 98/75 (* 4214/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/10 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -98/75 binary64) (/.f64 #s(literal 4214/375 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 49/10 binary64) (.f64 x x)) #s(literal 7/2 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* 2/7 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/7 binary64))
(* (pow x 4) (+ 2/7 (* 2/5 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 2/7 binary64) (*.f64 x x) #s(literal 2/5 binary64)) x) x)
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))
(* (pow x 4) (+ 2/7 (+ (/ 2/3 (pow x 4)) (* 2/5 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64))

rewrite120.0ms (1.9%)

Memory

40.0MiB live, 40.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	109
0	29	109
1	132	103
2	915	103
0	8556	99

Stop Event

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

Counts

5 → 216

Calls

Call 1

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

Outputs
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eval46.0ms (0.7%)

Memory: 28.7MiB live, 28.7MiB allocated
Compiler: Compiled 10 721 to 1 386 computations (87.1% saved)

prune15.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	272	3	275
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	273	8	281

Accuracy

100.0%

Counts

281 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -22/945 binary64) (.f64 x x) #s(literal -2/45 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
	99.8%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
	99.8%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
✓	99.9%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
✓	99.8%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
✓	99.7%	(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓	8.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.8%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))

Compiler

Compiled 330 to 153 computations (53.6% saved)

regimes18.0ms (0.3%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -22/945 binary64) (.f64 x x) #s(literal -2/45 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Outputs

(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -22/945 binary64) (*.f64 x x) #s(literal -2/45 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))

Calls

4 calls:

5.0ms	x
4.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
4.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
4.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
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 28 to 21 computations (25% saved)

regimes13.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)))

Outputs

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

Calls

4 calls:

4.0ms	x
3.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
3.0ms	(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 28 to 21 computations (25% saved)

regimes11.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))

Outputs

(*.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.8%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.8%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes10.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)))

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

Calls

4 calls:

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
99.8%	1	`x`
99.8%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.8%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.8%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes9.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.8%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.8%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes6.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	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
99.7%	1	`x`
99.7%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.7%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.7%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 28 to 21 computations (25% saved)

simplify29.0ms (0.5%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	183
1	68	183

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -22/945 binary64) (.f64 x x) #s(literal -2/45 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))

Outputs
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -22/945 binary64) (.f64 x x) #s(literal -2/45 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (/.f64 x #s(approx (/ 1 (+ ( (+ (* (+ (* 2/7 (* x x)) 2/5) (* x x)) 2/3) (* x x)) 2)) (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(.f64 #s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))

soundness736.0ms (11.8%)

Memory

10.6MiB live, 10.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	390
1	322	376
2	809	374
3	2101	370
4	3885	370
5	6111	370
0	8211	346
0	159	702
1	442	690
2	1119	686
3	3089	686
4	6254	686
0	8159	641
0	37	275
0	61	269
1	197	269
2	1287	269
0	8236	251
0	38	259
0	63	259
1	219	259
2	1437	259
0	8271	241

Stop Event

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

Compiler

Compiled 442 to 204 computations (53.8% saved)

preprocess57.0ms (0.9%)

Memory: 35.0MiB live, 35.0MiB allocated
Compiler: Compiled 206 to 100 computations (51.5% 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%)

sample2.1s (34.2%)

explain235.0ms (3.8%)

preprocess28.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.2%)

localize83.0ms (1.3%)

series5.0ms (0.1%)

simplify129.0ms (2.1%)

rewrite108.0ms (1.7%)

eval126.0ms (2%)

prune31.0ms (0.5%)

simplify136.0ms (2.2%)

localize224.0ms (3.6%)

series20.0ms (0.3%)

simplify129.0ms (2.1%)

rewrite135.0ms (2.2%)

eval80.0ms (1.3%)

prune23.0ms (0.4%)

simplify134.0ms (2.1%)

localize212.0ms (3.4%)

series17.0ms (0.3%)

simplify148.0ms (2.4%)

rewrite142.0ms (2.3%)

eval132.0ms (2.1%)

prune35.0ms (0.6%)

simplify436.0ms (7%)

localize145.0ms (2.3%)

series6.0ms (0.1%)

simplify127.0ms (2%)

rewrite120.0ms (1.9%)

eval46.0ms (0.7%)

prune15.0ms (0.2%)

regimes18.0ms (0.3%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

simplify29.0ms (0.5%)

soundness736.0ms (11.8%)

preprocess57.0ms (0.9%)

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