Metrics for Hyperbolic arc-(co)tangent

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample4.2s (40.5%)

Memory

-2.2MiB live, 3 375.8MiB allocated

Samples

2.0s	3 015×	2	valid
1.6s	4 897×	1	valid
26.0ms	344×	0	valid
0.0ms	3×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

ival-log: 1.6s (54.5% of total)

adjust: 342.0ms (11.5% of total)

ival-mult: 318.0ms (10.7% of total)

ival-add: 298.0ms (10.1% of total)

ival-div: 255.0ms (8.6% of total)

ival-sub: 118.0ms (4% of total)

exact: 8.0ms (0.3% of total)

ival-true: 7.0ms (0.2% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

explain221.0ms (2.2%)

Memory

-16.8MiB live, 441.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`	sensitivity	254	1

Confusion

	Predicted +	Predicted -
+	254	1
-	0	1

Precision

1.0

Recall

0.996078431372549

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

88.0ms	198×	2	valid
60.0ms	290×	1	valid
2.0ms	24×	0	valid

Compiler

Compiled 95 to 31 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-log: 73.0ms (59.6% of total)

ival-div: 12.0ms (9.8% of total)

adjust: 12.0ms (9.8% of total)

ival-sub: 10.0ms (8.2% of total)

ival-mult: 7.0ms (5.7% of total)

ival-add: 6.0ms (4.9% of total)

exact: 1.0ms (0.8% of total)

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

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

preprocess34.0ms (0.3%)

Memory

3.6MiB live, 81.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.0%	(*.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 13 to 9 computations (30.8% saved)

simplify14.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize81.0ms (0.8%)

Memory

-24.4MiB live, 134.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy	0.03125	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	58.162384243395266	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Samples

41.0ms	99×	2	valid
29.0ms	145×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-log: 34.0ms (58.4% of total)

ival-div: 7.0ms (12% of total)

adjust: 6.0ms (10.3% of total)

ival-mult: 4.0ms (6.9% of total)

ival-add: 3.0ms (5.1% of total)

ival-sub: 3.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

5 → 48

Calls

Call 1

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

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

simplify133.0ms (1.3%)

Memory

-7.5MiB live, 144.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	390
1	322	376
2	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))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 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) (.f64 (.f64 x x) x)) (/.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) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) x))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x)) (/.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) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x))) (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) (.f64 (.f64 x x) x)) (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) #s(literal -1/3 binary64)) (.f64 x x)) #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) (.f64 (.f64 x x) x)) (/.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 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2/5 binary64) (.f64 x x)) #s(literal -2/3 binary64)) (.f64 x x))) x))
-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)

rewrite149.0ms (1.5%)

Memory

4.2MiB live, 201.2MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 799

Calls

Call 1

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

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

eval166.0ms (1.6%)

Memory: 36.5MiB live, 188.2MiB allocated
Compiler: Compiled 23 113 to 3 088 computations (86.6% saved)

prune110.0ms (1.1%)

Memory

-2.2MiB live, 203.7MiB 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
▶	100.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))))
	9.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
▶	9.0%	(*.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)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x))
▶	99.7%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
▶	99.5%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))

Compiler

Compiled 184 to 110 computations (40.2% saved)

simplify260.0ms (2.5%)

Memory

-21.0MiB live, 93.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

11 896×	`lower-fma.f32`
11 884×	`lower-fma.f64`
3 228×	`lower-*.f32`
3 212×	`lower-*.f64`
1 484×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	265
0	68	265
1	110	265
2	183	265
3	377	257
4	881	257
5	1473	257
6	1989	257
7	2874	257
8	4160	257
9	5718	257
10	7394	257
11	7704	257
12	7817	257
13	7836	257
14	7960	257
0	8050	250

Stop Event

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

Calls

Call 1

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

localize364.0ms (3.6%)

Memory

-4.9MiB live, 201.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy	0.03125	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	58.162384243395266	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy	0.0078125	(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
accuracy	0.01171875	(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))
accuracy	0.01171875	(.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)
accuracy	0.14400181197045453	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy	0.01953125	(.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
accuracy	0.1925678119774139	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
accuracy	0	(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)
accuracy	0.32691435485233306	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
accuracy	0	(*.f64 #s(literal 2 binary64) (log1p.f64 x))
accuracy	0	(neg.f64 x)
accuracy	0	(log1p.f64 (*.f64 (neg.f64 x) x))
accuracy	0	(log1p.f64 x)

Samples

168.0ms	145×	1	valid
105.0ms	99×	2	valid
3.0ms	12×	0	valid

Compiler

Compiled 265 to 39 computations (85.3% saved)

Precisions

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

ival-mult: 95.0ms (44.1% of total)

ival-log: 31.0ms (14.4% of total)

ival-div: 24.0ms (11.1% of total)

adjust: 23.0ms (10.7% of total)

const: 15.0ms (7% of total)

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

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

ival-sub: 5.0ms (2.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

18.2MiB live, 18.1MiB allocated

Counts

24 → 276

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) (patch (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) (patch (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) (patch (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) (patch (-.f64 (.f64 #s(literal 2 binary64) (log1p.f64 x)) (log1p.f64 (.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (log1p.f64 x)) (patch (.f64 #s(literal 2 binary64) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 x))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (log1p.f64 x)) (patch (.f64 #s(literal 2 binary64) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* x (- (* 2/3 x) 1)))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (log1p.f64 x)) (patch (.f64 #s(literal 2 binary64) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* x (- (* x (+ 2/3 (* -1/2 x))) 1)))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (log1p.f64 x)) (patch (.f64 #s(literal 2 binary64) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 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)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #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 #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #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 #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) (patch #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx ( (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 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)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx ( (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #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 #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx ( (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #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 #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx ( (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #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 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #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 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 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)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #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 #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #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 #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #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 #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)) (patch #s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/7 (pow x 7)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x) (patch (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/7 (pow x 6)) (taylor -inf x) (#s(alt (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/7 (pow x 4)) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<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 (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (taylor -inf x) (#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -2 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log1p.f64 (.f64 (neg.f64 x) x)) (patch (log1p.f64 (.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (log1p.f64 (.f64 (neg.f64 x) x)) (patch (log1p.f64 (.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))))) (taylor -inf x) (#s(alt (log1p.f64 (.f64 (neg.f64 x) x)) (patch (log1p.f64 (.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2))) (taylor -inf x) (#s(alt (log1p.f64 (.f64 (neg.f64 x) x)) (patch (log1p.f64 (.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/7 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (patch (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (patch (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (patch (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (patch (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

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

3.0ms

inf

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

3.0ms

-inf

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

simplify224.0ms (2.2%)

Memory

2.5MiB live, 158.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 808×	`lower-fma.f64`
10 808×	`lower-fma.f32`
3 574×	`lower-*.f64`
3 574×	`lower-*.f32`
3 534×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	2795
1	955	2687
2	2467	2643
3	7944	2643
0	8031	2457

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 265

Calls

Call 1

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

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

rewrite261.0ms (2.5%)

Memory

18.5MiB live, 211.8MiB allocated

Rules

5 312×	`lower-*.f32`
5 296×	`lower-*.f64`
4 808×	`lower-fma.f32`
4 796×	`lower-fma.f64`
4 756×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	234
0	68	229
1	226	229
2	1604	229
0	8681	224

Stop Event

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

Counts

24 → 623

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))))
(.f64 (-.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log1p.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x)))) (.f64 #s(literal 1/2 binary64) (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log1p.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))))
(/.f64 (.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64)))) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log1p.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 (log1p.f64 (*.f64 (neg.f64 x) x)))))
(fma.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (neg.f64 (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log1p.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x)))))
(.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))))
(.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))) (.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) (*.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (neg.f64 (log1p.f64 (.f64 (neg.f64 x) x))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64))) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 4 binary64)) (pow.f64 (.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 6 binary64)) (pow.f64 (.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x)))) (.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (pow.f64 (log1p.f64 (.f64 (neg.f64 x) x)) #s(literal 2 binary64)))) (.f64 (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (.f64 (neg.f64 x) x))) (fma.f64 (log1p.f64 x) #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/343 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/125 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/625 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25 binary64)) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/117649 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) #s(literal 1/15625 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/625 binary64) (.f64 (.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/25 binary64)))) (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal -1/5 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/117649 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) #s(literal 1/15625 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/343 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) #s(literal 1/125 binary64)) (fma.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/25 binary64) (.f64 (*.f64 x x) #s(literal 1/35 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/117649 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 1/343 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) #s(literal 1/1953125 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/117649 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))) (-.f64 #s(literal 1/15625 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal 1/42875 binary64)))) (fma.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal -1/5 binary64))) (.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal -1/5 binary64)) #s(literal 1/25 binary64))) (.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal -1/5 binary64)) (fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal -1/5 binary64))))
(/.f64 (-.f64 #s(literal 1/25 binary64) (.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/25 binary64))) (neg.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal -1/5 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/343 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/125 binary64))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/35 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/343 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/125 binary64))) (neg.f64 (fma.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64))))))
(/.f64 (fma.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/25 binary64)) (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal -1/5 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal -1/5 binary64)) (fma.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/25 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64)))) (fma.f64 (.f64 #s(literal 1/343 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/125 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/343 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/125 binary64)) (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/35 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/343 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/125 binary64)) (fma.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal -1/5 binary64)) (fma.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/25 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64)))) (fma.f64 (.f64 #s(literal 1/343 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/125 binary64))))
(fma.f64 (*.f64 #s(literal 1/7 binary64) x) x #s(literal 1/5 binary64))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(fma.f64 x (*.f64 #s(literal 1/7 binary64) x) #s(literal 1/5 binary64))
(-.f64 (/.f64 #s(literal 1/25 binary64) (-.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/49 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal -1/5 binary64))))
(+.f64 (.f64 #s(literal 1/7 binary64) (.f64 x x)) #s(literal 1/5 binary64))
(+.f64 #s(literal 1/5 binary64) (.f64 #s(literal 1/7 binary64) (.f64 x x)))

eval180.0ms (1.8%)

Memory: 3.1MiB live, 236.3MiB allocated
Compiler: Compiled 29 410 to 3 243 computations (89% saved)

prune292.0ms (2.9%)

Memory

-23.3MiB live, 222.0MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 014	4	1 018
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	1 016	8	1 024

Accuracy

100.0%

Counts

1 024 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	9.0%	(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
▶	99.7%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x x))
▶	99.5%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x x))
✓	99.8%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x))
✓	99.7%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
✓	99.5%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
▶	98.9%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 110 to 60 computations (45.5% saved)

simplify142.0ms (1.4%)

Memory

12.7MiB live, 127.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
cost-diff	128	(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
cost-diff	1408	(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)
cost-diff	0	(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x x)
cost-diff	0	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 x x))
cost-diff	0	(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x x)
cost-diff	0	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x x))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x))

Rules

14 658×	`lower-fma.f32`
14 650×	`lower-fma.f64`
3 120×	`lower-*.f32`
3 104×	`lower-*.f64`
1 572×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	279
0	63	279
1	124	279
2	249	239
3	579	239
4	1927	236
5	5500	236
0	8302	224

Stop Event

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

Calls

Call 1

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

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

localize389.0ms (3.8%)

Memory

-20.4MiB live, 311.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy	0.015625	(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
accuracy	0.03515625	(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
accuracy	58.162384243395266	(log.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
accuracy	0.01171875	(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy	0.1171875	(.f64 (.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)
accuracy	0.1925678119774139	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x x))
accuracy	0.359375	(.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
accuracy	0	(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x x)
accuracy	0	(*.f64 x x)
accuracy	0.18359375	(.f64 #s(literal 1/3 binary64) (.f64 x x))
accuracy	0.32691435485233306	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x x))
accuracy	0.01171875	(.f64 #s(approx (+ ( (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x)
accuracy	0.14400181197045453	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x))
accuracy	0.7123001293754598	#s(approx (+ (* (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64))

Samples

166.0ms	99×	2	valid
137.0ms	145×	1	valid
3.0ms	12×	0	valid

Compiler

Compiled 251 to 41 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

ival-log: 95.0ms (34.8% of total)

ival-mult: 75.0ms (27.5% of total)

const: 33.0ms (12.1% of total)

adjust: 23.0ms (8.4% of total)

ival-div: 22.0ms (8.1% of total)

ival-add: 21.0ms (7.7% of total)

ival-sub: 3.0ms (1.1% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

-9.4MiB live, 28.4MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify133.0ms (1.3%)

Memory

32.9MiB live, 191.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 722×	`lower-fma.f64`
9 722×	`lower-fma.f32`
3 556×	`lower-*.f64`
3 556×	`lower-*.f32`
3 094×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	1912
1	693	1837
2	2007	1797
3	5263	1772
0	8157	1657

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 197

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

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

rewrite267.0ms (2.6%)

Memory

15.4MiB live, 242.1MiB allocated

Rules

5 110×	`lower-/.f32`
5 108×	`lower-/.f64`
5 078×	`lower-fma.f32`
5 070×	`lower-fma.f64`
4 670×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	253
0	63	253
1	252	213
2	1976	213
0	9139	190

Stop Event

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

Counts

17 → 990

Calls

Call 1

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

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

eval252.0ms (2.5%)

Memory: 2.1MiB live, 319.0MiB allocated
Compiler: Compiled 44 967 to 5 075 computations (88.7% saved)

prune174.0ms (1.7%)

Memory

-8.1MiB live, 233.8MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1 208	1	1 209
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	1 209	8	1 217

Accuracy

100.0%

Counts

1 217 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	9.0%	(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(approx (* (+ (* (neg x) x) 1) (- 1 x)) (fma.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) x #s(literal 1 binary64))))))
✓	99.7%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x x))
✓	99.5%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x x))
✓	99.8%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x))
✓	99.7%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
✓	99.5%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
✓	98.9%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 111 to 62 computations (44.1% saved)

simplify177.0ms (1.7%)

Memory

-9.6MiB live, 119.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(approx ( (+ (* (neg x) x) 1) (- 1 x)) (fma.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) x #s(literal 1 binary64)))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(approx (* (+ (* (neg x) x) 1) (- 1 x)) (fma.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) x #s(literal 1 binary64))))))
cost-diff	64	(fma.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) x #s(literal 1 binary64))
cost-diff	128	(*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))

Rules

16 726×	`lower-fma.f32`
16 720×	`lower-fma.f64`
3 016×	`lower--.f32`
3 014×	`lower--.f64`
2 932×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	151
0	33	151
1	59	151
2	139	151
3	402	151
4	1009	151
5	2033	151
6	4549	151
7	7055	151
0	8102	138

Stop Event

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

Calls

Call 1

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

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

localize151.0ms (1.5%)

Memory

5.0MiB live, 119.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 x x (-.f64 #s(literal -1 binary64) x))
accuracy	0.0078125	(*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy	0.03515625	(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(approx ( (+ (* (neg x) x) 1) (- 1 x)) (fma.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) x #s(literal 1 binary64))))
accuracy	58.162384243395266	(log.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(approx ( (+ (* (neg x) x) 1) (- 1 x)) (fma.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) x #s(literal 1 binary64)))))

Samples

68.0ms	99×	2	valid
47.0ms	145×	1	valid
2.0ms	12×	0	valid

Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-log: 35.0ms (35.2% of total)

ival-mult: 29.0ms (29.2% of total)

adjust: 14.0ms (14.1% of total)

ival-add: 10.0ms (10.1% of total)

ival-sub: 5.0ms (5% of total)

ival-div: 4.0ms (4% of total)

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

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

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

exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

simplify168.0ms (1.6%)

Memory

-11.4MiB live, 139.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 950×	`lower-fma.f64`
12 950×	`lower-fma.f32`
4 036×	`lower-+.f64`
4 036×	`lower-+.f32`
2 822×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	635
1	510	611
2	1512	584
3	3983	556
4	7585	556
0	8130	520

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

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

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

rewrite274.0ms (2.7%)

Memory

-4.3MiB live, 159.7MiB allocated

Rules

9 420×	`lower-fma.f32`
9 414×	`lower-fma.f64`
3 340×	`lower-/.f32`
3 338×	`lower-/.f64`
3 234×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	115
0	33	115
1	132	115
2	1105	115
0	9341	106

Stop Event

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

Counts

6 → 571

Calls

Call 1

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

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

eval264.0ms (2.6%)

Memory: -11.5MiB live, 103.8MiB allocated
Compiler: Compiled 23 124 to 2 977 computations (87.1% saved)

prune138.0ms (1.3%)

Memory

21.7MiB live, 109.7MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	641	1	642
Fresh	0	0	0
Picked	1	0	1
Done	0	7	7
Total	642	8	650

Accuracy

100.0%

Counts

650 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
	9.0%	(.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(approx (* (+ (* (neg x) x) 1) (- 1 x)) (fma.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) x #s(literal 1 binary64))))))
✓	99.7%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x x))
✓	99.5%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x x))
✓	99.8%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x))
✓	99.7%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
✓	99.5%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
✓	98.9%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64)) x))

Compiler

Compiled 304 to 121 computations (60.2% saved)

regimes80.0ms (0.8%)

Memory

-22.2MiB live, 16.7MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

68.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
4.0ms	x
3.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
3.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes14.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

4.0ms	x
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
3.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
3.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes8.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(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
99.7%	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 32 to 21 computations (34.4% saved)

regimes7.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.7%	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 32 to 21 computations (34.4% saved)

regimes17.0ms (0.2%)

Memory

-31.0MiB live, 8.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

13.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
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	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(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
99.5%	1	`x`
99.5%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.5%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.5%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes4.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(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
98.9%	1	`x`
98.9%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
98.9%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
98.9%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify7.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	163
1	70	163
2	77	163
3	82	163
4	84	163

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness829.0ms (8.1%)

Memory

21.6MiB live, 412.2MiB allocated

Rules

11 698×	`lower-fma.f64`
11 698×	`lower-fma.f32`
10 808×	`lower-fma.f64`
10 808×	`lower-fma.f32`
5 312×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	16	29
1	49	29
2	308	29
3	4075	29
0	9498	22
0	110	390
1	322	376
2	809	374
3	2101	370
4	3885	370
5	6111	370
0	8211	346
0	308	2795
1	955	2687
2	2467	2643
3	7944	2643
0	8031	2457
0	39	234
0	68	229
1	226	229
2	1604	229
0	8681	224

Stop Event

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

Compiler

Compiled 199 to 95 computations (52.3% saved)

preprocess46.0ms (0.5%)

Memory: -15.5MiB live, 99.4MiB allocated
Compiler: Compiled 196 to 78 computations (60.2% 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%)

sample4.2s (40.5%)

explain221.0ms (2.2%)

preprocess34.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.1%)

localize81.0ms (0.8%)

series5.0ms (0%)

simplify133.0ms (1.3%)

rewrite149.0ms (1.5%)

eval166.0ms (1.6%)

prune110.0ms (1.1%)

simplify260.0ms (2.5%)

localize364.0ms (3.6%)

series20.0ms (0.2%)

simplify224.0ms (2.2%)

rewrite261.0ms (2.5%)

eval180.0ms (1.8%)

prune292.0ms (2.9%)

simplify142.0ms (1.4%)

localize389.0ms (3.8%)

series22.0ms (0.2%)

simplify133.0ms (1.3%)

rewrite267.0ms (2.6%)

eval252.0ms (2.5%)

prune174.0ms (1.7%)

simplify177.0ms (1.7%)

localize151.0ms (1.5%)

series5.0ms (0%)

simplify168.0ms (1.6%)

rewrite274.0ms (2.7%)

eval264.0ms (2.6%)

prune138.0ms (1.3%)

regimes80.0ms (0.8%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes17.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

simplify7.0ms (0.1%)

soundness829.0ms (8.1%)

preprocess46.0ms (0.5%)

end0.0ms (0%)

Profiling

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

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