Metrics for Rust f64::atanh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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 4 to 4 computations (0% saved)

sample698.0ms (13.5%)

Memory

25.2MiB live, 534.2MiB allocated

Samples

538.0ms	8 256×	0	valid
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-atanh: 63.0ms (87% of total)

ival-true: 7.0ms (9.7% of total)

ival-assert: 3.0ms (4.1% of total)

Bogosity

explain86.0ms (1.7%)

Memory

-2.3MiB live, 153.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
-	-	`(*.f64 #s(literal 2 binary64) x)`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`
-	-	`#s(literal 1/2 binary64)`
-	-	`x`
-	-	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

30.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (35.4% of total)

ival-sub: 3.0ms (17.7% of total)

ival-div: 3.0ms (17.7% of total)

ival-log1p: 3.0ms (17.7% of total)

exact: 1.0ms (5.9% of total)

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

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

preprocess25.0ms (0.5%)

Memory

-4.6MiB live, 38.5MiB allocated

Algorithm

1×	egg-herbie

Rules

124×	`lower-fma.f64`
124×	`lower-fma.f32`
88×	`lower-*.f32`
84×	`lower-*.f64`
76×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify11.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Rules

124×	`lower-fma.f64`
124×	`lower-fma.f32`
88×	`lower-*.f32`
84×	`lower-*.f64`
76×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.6%)

Memory

-12.5MiB live, 59.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
accuracy	0.01171875	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	0.015625	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Samples

23.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (58.3% of total)

ival-div: 2.0ms (16.6% of total)

ival-log1p: 2.0ms (16.6% of total)

ival-sub: 1.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

simplify478.0ms (9.2%)

Memory

-280.8MiB live, 345.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 938×	`lower-fma.f64`
12 938×	`lower-fma.f32`
3 522×	`lower-*.f64`
3 522×	`lower-*.f32`
2 748×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	404
1	312	390
2	798	382
3	2146	380
4	4029	380
5	6487	380
0	8272	358

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

rewrite503.0ms (9.7%)

Memory

24.4MiB live, 224.5MiB allocated

Rules

4 286×	`lower-fma.f64`
4 286×	`lower-fma.f32`
3 506×	`lower-*.f32`
3 502×	`lower-*.f64`
2 126×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	15	28
1	54	28
2	404	28
3	5595	28
0	8636	28

Stop Event

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

Counts

4 → 162

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))))
(.f64 (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64))))))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))))
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) #s(literal 0 binary64))
(+.f64 (neg.f64 (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))) (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))) (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (log1p.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (log1p.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))) (log.f64 (neg.f64 (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))) (log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) #s(literal 1 binary64)))) (log1p.f64 (.f64 (.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))))
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eval59.0ms (1.1%)

Memory: -24.6MiB live, 49.8MiB allocated
Compiler: Compiled 5 051 to 806 computations (84% saved)

prune26.0ms (0.5%)

Memory

33.7MiB live, 71.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	205	4	209
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	206	4	210

Accuracy

100.0%

Counts

210 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 44 to 25 computations (43.2% saved)

simplify172.0ms (3.3%)

Memory

-11.7MiB live, 137.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

2 816×	`lower-fma.f32`
2 808×	`lower-fma.f64`
1 340×	`lower-*.f32`
1 326×	`lower-*.f64`
538×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	192
0	43	180
1	79	180
2	119	180
3	186	180
4	269	180
5	303	180
6	341	180
7	630	180
8	965	180
9	1415	180
10	1874	180
11	2303	180
12	2595	180
13	2808	180
14	2894	180
15	2912	180
16	2912	180
17	2975	180
18	2999	180
19	2999	180
20	3009	180
0	3009	168

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize109.0ms (2.1%)

Memory

-2.5MiB live, 96.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)))))
accuracy	0.0078125	(.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64)))
accuracy	0.10087779217402955	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal 2 binary64))))
accuracy	0.3359375	(*.f64 x #s(literal 2/3 binary64))
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64))))
accuracy	0.46141643498145307	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
accuracy	0.0859375	(.f64 x (.f64 x x))
accuracy	0	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
accuracy	0	(*.f64 x x)
accuracy	0.0859375	(.f64 x (.f64 x x))
accuracy	0.10087779217402955	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x))

Samples

47.0ms

256×

valid

Compiler

Compiled 151 to 27 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 16.0ms (47.3% of total)

const: 9.0ms (26.6% of total)

ival-add: 4.0ms (11.8% of total)

ival-div: 2.0ms (5.9% of total)

ival-log1p: 2.0ms (5.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory

-23.2MiB live, 13.8MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

simplify238.0ms (4.6%)

Memory

27.9MiB live, 412.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 654×	`lower-fma.f64`
15 654×	`lower-fma.f32`
3 794×	`lower-*.f64`
3 794×	`lower-*.f32`
2 750×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1434
1	332	1380
2	863	1372
3	2348	1370
4	5494	1370
0	8118	1269

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 174

Calls

Call 1

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

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

rewrite443.0ms (8.5%)

Memory

33.0MiB live, 459.5MiB allocated

Rules

7 336×	`lower-fma.f32`
7 328×	`lower-fma.f64`
4 164×	`lower-*.f32`
4 150×	`lower-*.f64`
3 518×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	172
0	43	162
1	155	162
2	1067	162
0	8423	150

Stop Event

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

Counts

15 → 266

Calls

Call 1

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

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

eval61.0ms (1.2%)

Memory: -28.4MiB live, 135.5MiB allocated
Compiler: Compiled 11 576 to 909 computations (92.1% saved)

prune57.0ms (1.1%)

Memory

3.8MiB live, 122.5MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	507	1	508
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	508	4	512

Accuracy

100.0%

Counts

512 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 42 to 23 computations (45.2% saved)

simplify50.0ms (1%)

Memory

18.3MiB live, 54.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

680×	`lower-fma.f32`
678×	`lower-fma.f64`
476×	`lower-*.f32`
472×	`lower-*.f64`
152×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
0	19	41
1	39	41
2	61	39
3	107	39
4	128	39
5	171	39
6	259	39
7	424	39
8	551	39
9	671	39
10	784	39
11	858	39
12	962	39
13	1079	39
14	1091	39
15	1091	39
0	1091	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize157.0ms (3%)

Memory

-29.4MiB live, 35.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))
accuracy	0.10087779217402955	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))))

Samples

129.0ms

256×

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

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

const: 108.0ms (88.8% of total)

ival-mult: 7.0ms (5.8% of total)

ival-div: 2.0ms (1.6% of total)

ival-log1p: 2.0ms (1.6% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

simplify213.0ms (4.1%)

Memory

-8.8MiB live, 305.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 668×	`lower-fma.f64`
12 668×	`lower-fma.f32`
5 370×	`lower-*.f64`
5 370×	`lower-*.f32`
1 522×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	342
1	146	317
2	361	316
3	1833	316
4	5602	316
0	8116	286

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite364.0ms (7%)

Memory

4.1MiB live, 389.5MiB allocated

Rules

6 888×	`lower-fma.f32`
6 886×	`lower-fma.f64`
4 292×	`lower-*.f32`
4 288×	`lower-*.f64`
2 902×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
0	19	38
1	78	36
2	603	36
3	7136	36
0	8818	32

Stop Event

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

Counts

4 → 138

Calls

Call 1

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

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x))
(+.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(fma.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal 1 binary64) x)
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64)))))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (.f64 x (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/9 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) x) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/9 binary64))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))) (neg.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) x)) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64)))))) (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 (.f64 x (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64))) x) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)
(.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))) x))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))) x))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))))))))
(.f64 (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))))
(.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/9 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) x) (fma.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/81 binary64))))
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(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64))
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(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))
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(fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
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(fma.f64 (*.f64 x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (fma.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))) (.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64) (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64))) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/81 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 1/3 binary64))))) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/9 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(neg.f64 (*.f64 x (neg.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)

eval23.0ms (0.4%)

Memory: 22.4MiB live, 56.7MiB allocated
Compiler: Compiled 4 305 to 437 computations (89.8% saved)

prune30.0ms (0.6%)

Memory

-11.6MiB live, 74.0MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	184	4	188

Accuracy

100.0%

Counts

188 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 41 to 21 computations (48.8% saved)

simplify12.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

cost-diff

#s(approx (+ (* (* x x) 1/3) 1) #s(literal 1 binary64))

cost-diff

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

cost-diff

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

Rules

150×	`lower-fma.f64`
150×	`lower-fma.f32`
106×	`lower-*.f32`
104×	`lower-*.f64`
100×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	46
0	18	46
1	32	46
2	42	46
3	48	46
4	55	46
5	69	46
6	107	46
7	189	46
8	251	46
9	278	46
10	291	46
11	301	46
12	301	46
0	301	41

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.8%)

Memory

9.9MiB live, 45.9MiB allocated

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

accuracy

0.0078125

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

accuracy

0.10087779217402955

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

accuracy

0.44631664097388

#s(approx (+ (* (* x x) 1/3) 1) #s(literal 1 binary64))

Samples

25.0ms

256×

valid

Compiler

Compiled 32 to 16 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 8.0ms (43.6% of total)

const: 4.0ms (21.8% of total)

ival-div: 2.0ms (10.9% of total)

ival-log1p: 2.0ms (10.9% of total)

ival-add: 1.0ms (5.4% of total)

ival-sub: 1.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs

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

#s(alt (*.f64 x #s(approx (+ (* (* x x) 1/3) 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ (* (* x x) 1/3) 1) #s(literal 1 binary64))) #<representation binary64>) () ())

#s(alt #s(approx (+ (* (* x x) 1/3) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* x x) 1/3) 1) #s(literal 1 binary64)) #<representation binary64>) () ())

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

Calls

9 calls:

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

simplify296.0ms (5.7%)

Memory

11.6MiB live, 346.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 668×	`lower-fma.f64`
12 668×	`lower-fma.f32`
5 370×	`lower-*.f64`
5 370×	`lower-*.f32`
1 522×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	306
1	146	281
2	361	280
3	1833	280
4	5602	280
0	8116	250

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

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

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

rewrite240.0ms (4.6%)

Memory

-30.8MiB live, 382.2MiB allocated

Rules

6 610×	`lower-fma.f64`
6 610×	`lower-fma.f32`
4 130×	`lower-*.f32`
4 128×	`lower-*.f64`
2 796×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
0	18	44
1	72	44
2	551	44
3	6880	44
0	8554	39

Stop Event

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

Counts

3 → 8

Calls

Call 1

Inputs

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

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

#s(approx (+ (* (* x x) 1/3) 1) #s(literal 1 binary64))

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

eval4.0ms (0.1%)

Memory: 10.7MiB live, 10.7MiB allocated
Compiler: Compiled 420 to 51 computations (87.9% saved)

prune5.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	42	4	46

Accuracy

100.0%

Counts

46 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 106 to 47 computations (55.7% saved)

regimes13.0ms (0.3%)

Memory

-7.6MiB live, 28.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
3.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
3.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes12.0ms (0.2%)

Memory

-5.2MiB live, 30.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.8%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.8%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes8.0ms (0.1%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.8%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.8%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes14.0ms (0.3%)

Memory

-10.2MiB live, 29.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

9.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	x

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.3%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.3%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify11.0ms (0.2%)

Memory

-14.7MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	92
1	34	92

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness503.0ms (9.7%)

Memory

-15.0MiB live, 402.5MiB allocated

Rules

12 938×	`lower-fma.f64`
12 938×	`lower-fma.f32`
12 668×	`lower-fma.f64`
12 668×	`lower-fma.f32`
7 336×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	342
1	146	317
2	361	316
3	1833	316
4	5602	316
0	8116	286
0	106	404
1	312	390
2	798	382
3	2146	380
4	4029	380
5	6487	380
0	8272	358
0	28	172
0	43	162
1	155	162
2	1067	162
0	8423	150

Stop Event

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

Compiler

Compiled 104 to 47 computations (54.8% saved)

preprocess160.0ms (3.1%)

Memory: 21.1MiB live, 62.9MiB allocated
Compiler: Compiled 98 to 42 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35

Iter	Nodes	Cost
0	17	46
0	18	46
1	32	46
2	42	46
3	48	46
4	55	46
5	69	46
6	107	46
7	189	46
8	251	46
9	278	46
10	291	46
11	301	46
12	301	46
0	301	41

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35

Iter	Nodes	Cost
0	17	46
0	18	46
1	32	46
2	42	46
3	48	46
4	55	46
5	69	46
6	107	46
7	189	46
8	251	46
9	278	46
10	291	46
11	301	46
12	301	46
0	301	41

start0.0ms (0%)

analyze2.0ms (0%)

sample698.0ms (13.5%)

explain86.0ms (1.7%)

preprocess25.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.2%)

localize33.0ms (0.6%)

series5.0ms (0.1%)

simplify478.0ms (9.2%)

rewrite503.0ms (9.7%)

eval59.0ms (1.1%)

prune26.0ms (0.5%)

simplify172.0ms (3.3%)

localize109.0ms (2.1%)

series22.0ms (0.4%)

simplify238.0ms (4.6%)

rewrite443.0ms (8.5%)

eval61.0ms (1.2%)

prune57.0ms (1.1%)

simplify50.0ms (1%)

localize157.0ms (3%)

series3.0ms (0%)

simplify213.0ms (4.1%)

rewrite364.0ms (7%)

eval23.0ms (0.4%)

prune30.0ms (0.6%)

simplify12.0ms (0.2%)

localize40.0ms (0.8%)

series1.0ms (0%)

simplify296.0ms (5.7%)

rewrite240.0ms (4.6%)

eval4.0ms (0.1%)

prune5.0ms (0.1%)

regimes13.0ms (0.3%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes14.0ms (0.3%)

simplify11.0ms (0.2%)

soundness503.0ms (9.7%)

preprocess160.0ms (3.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35

Iter	Nodes	Cost
0	17	46
0	18	46
1	32	46
2	42	46
3	48	46
4	55	46
5	69	46
6	107	46
7	189	46
8	251	46
9	278	46
10	291	46
11	301	46
12	301	46
0	301	41