Metrics for Rust f32::atanh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
0%	0%	99.6%	0.4%	0%	0%	0%	1
0%	0%	99.6%	0.4%	0%	0%	0%	2
0%	0%	49.8%	0.4%	0%	49.8%	0%	3
50%	24.9%	24.9%	0.4%	0%	49.8%	0%	4
75%	37.4%	12.5%	0.4%	0%	49.8%	0%	5
87.5%	43.6%	6.2%	0.4%	0%	49.8%	0%	6
93.8%	46.7%	3.1%	0.4%	0%	49.8%	0%	7
96.9%	48.2%	1.6%	0.4%	0%	49.8%	0%	8
98.4%	49%	0.8%	0.4%	0%	49.8%	0%	9
99.2%	49.4%	0.4%	0.4%	0%	49.8%	0%	10
99.6%	49.4%	0.2%	0.4%	0%	50%	0%	11
99.8%	49.5%	0.1%	0.4%	0%	50%	0%	12

Compiler

Compiled 4 to 4 computations (0% saved)

sample364.0ms (4.7%)

Memory

20.5MiB live, 406.0MiB allocated

Samples

230.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-atanh: 76.0ms (89.4% of total)

ival-true: 6.0ms (7.1% of total)

ival-assert: 3.0ms (3.5% of total)

Bogosity

explain88.0ms (1.1%)

Memory

11.8MiB live, 177.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary32)`
-	-	`#s(literal 2 binary32)`
-	-	`#s(literal 1/2 binary32)`
-	-	`(-.f32 #s(literal 1 binary32) x)`
-	-	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
-	-	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
-	-	`(*.f32 #s(literal 2 binary32) x)`
-	-	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
-	-	`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

35.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (35.2% of total)

ival-div: 5.0ms (25.1% of total)

ival-log1p: 4.0ms (20.1% of total)

ival-sub: 3.0ms (15.1% of total)

exact: 1.0ms (5% of total)

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

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

preprocess24.0ms (0.3%)

Memory

-22.9MiB live, 58.8MiB allocated

Algorithm

1×	egg-herbie

Rules

124×	`lower-fma.f64`
124×	`lower-fma.f32`
88×	`lower-*.f64`
84×	`lower-*.f32`
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
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) 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

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify11.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
cost-diff	0	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Rules

124×	`lower-fma.f64`
124×	`lower-fma.f32`
88×	`lower-*.f64`
84×	`lower-*.f32`
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
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)

localize26.0ms (0.3%)

Memory

8.9MiB live, 48.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f32 #s(literal 2 binary32) x)
accuracy	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
accuracy	0.0234375	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
accuracy	0.0703125	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Samples

16.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log1p: 3.0ms (30.5% of total)

ival-mult: 3.0ms (30.5% of total)

ival-div: 2.0ms (20.4% of total)

ival-sub: 1.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-31.6MiB live, 7.2MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())
#s(alt (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor -inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#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 (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#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.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (log -1) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#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.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt -2 (taylor inf x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor inf x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt -2 (taylor -inf x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor -inf x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) (taylor -inf x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) (patch (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())

Calls

12 calls:

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

simplify245.0ms (3.1%)

Memory

20.3MiB live, 268.1MiB 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.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x (.f32 x (.f32 x x))))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 2/5 binary32) (.f32 x (.f32 x (.f32 x (.f32 x x)))))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2/5 binary32) (.f32 x x))) (.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(*.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 x (fma.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (fma.f32 x (.f32 x x) x))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 x x))))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 x x))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))

rewrite231.0ms (3%)

Memory

20.8MiB live, 284.5MiB allocated

Rules

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

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
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))
(.f32 (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 1/2 binary32))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32))))
(log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))
(neg.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32))))
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32)))))
(+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))) (neg.f32 (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (neg.f32 (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 0 binary32))
(+.f32 (neg.f32 (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))) (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))))))
(+.f32 (log.f32 (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)))))
(+.f32 (neg.f32 (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))))) (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 x #s(literal 1 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal 1 binary32)))) (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) #s(literal 1 binary32))) (neg.f32 (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal -1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))))) (log.f32 (neg.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)))))
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(-.f32 #s(literal 0 binary32) (*.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) x))
(*.f32 (neg.f32 x) #s(literal -2 binary32))
(.f32 #s(literal -1 binary32) (.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) (neg.f32 x))

eval23.0ms (0.3%)

Memory: -43.1MiB live, 46.7MiB allocated
Compiler: Compiled 5 051 to 804 computations (84.1% saved)

prune38.0ms (0.5%)

Memory

16.5MiB live, 91.3MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	203	6	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	203	7	210

Accuracy

100.0%

Counts

210 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
	98.9%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
▶	98.7%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
▶	97.2%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
▶	98.9%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
▶	99.1%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
▶	98.7%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))

Compiler

Compiled 173 to 103 computations (40.5% saved)

simplify653.0ms (8.4%)

Memory

35.2MiB live, 578.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f32 x x)
cost-diff	0	(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
cost-diff	0	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
cost-diff	0	(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
cost-diff	0	(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
cost-diff	0	(*.f32 x x)
cost-diff	0	(.f32 x (.f32 x x))
cost-diff	0	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
cost-diff	0	(*.f32 x #s(literal 2 binary32))
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
cost-diff	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
cost-diff	0	(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
cost-diff	0	(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
cost-diff	0	(fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))

Rules

36 768×	`lower-fma.f64`
36 754×	`lower-fma.f32`
4 000×	`lower-+.f64`
4 000×	`lower-+.f32`
3 032×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	281
0	58	263
1	111	263
2	192	263
3	361	263
4	664	263
5	1003	263
6	1088	263
7	1590	263
8	2282	263
9	2998	263
10	3739	263
11	5185	263
12	6000	263
13	6621	263
14	6779	263
15	6794	263
16	6913	263
17	7003	263
18	7018	263
19	7018	263
0	8594	249

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
(fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
x
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(*.f32 x #s(literal 1/7 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(.f32 x (.f32 x x))
(*.f32 x x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
(*.f32 x #s(literal 2 binary32))
x
#s(literal 2 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
#s(literal 1/3 binary32)
(.f32 x (.f32 x x))
x
(*.f32 x x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x #s(literal 2/3 binary32))
#s(literal 2/3 binary32)
#s(literal 2 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(.f32 x (.f32 x x))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
(fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
x
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(*.f32 x #s(literal 1/7 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(.f32 x (.f32 x x))
(*.f32 x x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
(*.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) x)
x
#s(literal 2 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
#s(literal 1/3 binary32)
(.f32 x (.f32 x x))
x
(*.f32 x x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
x
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(*.f32 x #s(literal 2/3 binary32))
#s(literal 2/3 binary32)
#s(literal 2 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 x (.f32 x x)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(fma.f32 (.f32 x (.f32 x x)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(.f32 x (.f32 x x))

localize318.0ms (4.1%)

Memory

-50.1MiB live, 180.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f32 x x)
accuracy	0.0234375	(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
accuracy	0.07421875	(.f32 x (.f32 x x))
accuracy	0.3366918670806147	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
accuracy	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
accuracy	0.03515625	(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
accuracy	0.359375	(*.f32 x #s(literal 2/3 binary32))
accuracy	0.4042829383934373	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
accuracy	0	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
accuracy	0	(*.f32 x x)
accuracy	0.07421875	(.f32 x (.f32 x x))
accuracy	0.4042829383934373	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
accuracy	0	(*.f32 x #s(literal 2 binary32))
accuracy	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
accuracy	0.8857084156220586	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
accuracy	0.07421875	(.f32 x (.f32 x x))
accuracy	0.1875	(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
accuracy	0.2874363999162859	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
accuracy	0.515625	(*.f32 x #s(literal 1/7 binary32))

Samples

209.0ms

256×

valid

Compiler

Compiled 228 to 36 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-mult: 170.0ms (87.1% of total)

const: 11.0ms (5.6% of total)

ival-add: 8.0ms (4.1% of total)

ival-div: 2.0ms (1% of total)

ival-log1p: 2.0ms (1% of total)

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

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

2.3MiB live, 39.3MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())
#s(alt (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())
#s(alt (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x #s(literal 2 binary32)))) (patch (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x #s(literal 2 binary32))) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x) (patch (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())
#s(alt (.f32 x (.f32 x x)) (patch (.f32 x (.f32 x x)) #<representation binary32>) () ())
#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) (patch (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) (patch #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) (patch (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) (patch (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())
#s(alt (.f32 x #s(literal 1/7 binary32)) (patch (.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())
#s(alt (.f32 x #s(literal 2/3 binary32)) (patch (.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())) ())
#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.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())) ())
#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.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())) ())
#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.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())) ())
#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.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())) ())
#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.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())) ())
#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.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())) ())
#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.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 7)) (taylor inf x) (#s(alt (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 7)) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 4)) (taylor inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 4)) (taylor -inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 x) (taylor 0 x) (#s(alt (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1/5 (* 1/7 (pow x 2)))) (taylor 0 x) (#s(alt (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1/5 (* 1/7 (pow x 2)))) (taylor 0 x) (#s(alt (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1/5 (* 1/7 (pow x 2)))) (taylor 0 x) (#s(alt (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 3)) (taylor inf x) (#s(alt (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
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#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ())
#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.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ())
#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.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ())
#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.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ())
#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.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* 1/5 (pow x 5)) (taylor inf x) (#s(alt (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* 1/5 (pow x 5)) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) #<representation binary32>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 (pow x 2)) (taylor inf x) (#s(alt (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/5 (pow x 2)) (taylor -inf x) (#s(alt (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (patch (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (.f32 x #s(literal 1/7 binary32)) (patch (.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (.f32 x #s(literal 1/7 binary32)) (patch (.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (.f32 x #s(literal 1/7 binary32)) (patch (.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor 0 x) (#s(alt (.f32 x #s(literal 1/7 binary32)) (patch (.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (.f32 x #s(literal 1/7 binary32)) (patch (.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (.f32 x #s(literal 1/7 binary32)) (patch (.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (.f32 x #s(literal 1/7 binary32)) (patch (.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor inf x) (#s(alt (.f32 x #s(literal 1/7 binary32)) (patch (.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 1/7 binary32)) (patch (.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 1/7 binary32)) (patch (.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 1/7 binary32)) (patch (.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 1/7 binary32)) (patch (.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (.f32 x #s(literal 2/3 binary32)) (patch (.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (.f32 x #s(literal 2/3 binary32)) (patch (.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (.f32 x #s(literal 2/3 binary32)) (patch (.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor 0 x) (#s(alt (.f32 x #s(literal 2/3 binary32)) (patch (.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor inf x) (#s(alt (.f32 x #s(literal 2/3 binary32)) (patch (.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor inf x) (#s(alt (.f32 x #s(literal 2/3 binary32)) (patch (.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor inf x) (#s(alt (.f32 x #s(literal 2/3 binary32)) (patch (.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor inf x) (#s(alt (.f32 x #s(literal 2/3 binary32)) (patch (.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 2/3 binary32)) (patch (.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 2/3 binary32)) (patch (.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 2/3 binary32)) (patch (.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2/3 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 2/3 binary32)) (patch (.f32 x #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())

Calls

60 calls:

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

simplify304.0ms (3.9%)

Memory

38.2MiB live, 305.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 692×	`lower-fma.f64`
12 692×	`lower-fma.f32`
4 158×	`lower-*.f64`
4 158×	`lower-*.f32`
2 094×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	1984
1	446	1917
2	1181	1905
3	3270	1902
4	6603	1902
0	8154	1759

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 232

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 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/5 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* 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)))
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)))
(* 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)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 2/3 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.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 1/5 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) x))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 x x))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x)))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* 1/7 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* 1/7 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 1/5 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) x))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 x (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 2/5 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) x))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2/3 binary32) (/.f32 #s(literal -2/5 binary32) (.f32 x x))) (.f32 x x)) #s(literal -2 binary32)) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 1/5 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) x))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 x x))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 1/5 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) x))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 x (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 2/5 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) x))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2/3 binary32) (/.f32 #s(literal -2/5 binary32) (.f32 x x))) (.f32 x x)) #s(literal -2 binary32)) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* 2/3 (pow x 3))
(.f32 (.f32 x (*.f32 x x)) #s(literal 2/3 binary32))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* 2/3 (pow x 3))
(.f32 (.f32 x (*.f32 x x)) #s(literal 2/3 binary32))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* 2/3 (pow x 2))
(.f32 x (.f32 x #s(literal 2/3 binary32)))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* 2/3 (pow x 2))
(.f32 x (.f32 x #s(literal 2/3 binary32)))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 1/5 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) x))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 x x))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(* 1/5 (pow x 5))
(.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x x)) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x (*.f32 x x)))))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x x)) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x (*.f32 x x)))))))
(* 1/5 (pow x 5))
(.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) (-.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) (-.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1 binary32) (.f32 x x))) (*.f32 x x))))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* 1/5 (pow x 2))
(.f32 x (.f32 x #s(literal 1/5 binary32)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* 1/5 (pow x 2))
(.f32 x (.f32 x #s(literal 1/5 binary32)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))

rewrite402.0ms (5.2%)

Memory

-40.3MiB live, 285.8MiB allocated

Rules

5 654×	`lower-fma.f64`
5 640×	`lower-fma.f32`
4 370×	`lower-*.f64`
4 352×	`lower-*.f32`
4 262×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	243
0	58	229
1	221	229
2	1577	229
0	8261	215

Stop Event

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

Counts

20 → 332

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
(fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
(*.f32 x #s(literal 2 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(.f32 x (.f32 x x))
(*.f32 x x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(*.f32 x #s(literal 1/7 binary32))
(*.f32 x #s(literal 2/3 binary32))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
(+.f32 x (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x))))
(+.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x))) x)
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) x (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x))))
(fma.f32 x #s(literal 1 binary32) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x))))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))) x)
(fma.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 (.f32 x x) (.f32 x (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))) x)
(fma.f32 (.f32 x (.f32 x x)) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)
(fma.f32 (.f32 x (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))) (.f32 x x) x)
(fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)
(fma.f32 (.f32 (.f32 x (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))) x) x x)
(fma.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x)) (.f32 (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x)) (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x))) #s(literal 1/27 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x))) (-.f32 #s(literal 1/9 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)))))) x)
(fma.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x)) (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x)) #s(literal -1/9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal -1/3 binary32))) x)
(fma.f32 (.f32 (fma.f32 (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x)) (.f32 (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x)) (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x))) #s(literal 1/27 binary32)) (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x))) (-.f32 #s(literal 1/9 binary32) (.f32 #s(literal 1/3 binary32) (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x)))))) x)
(fma.f32 (.f32 (fma.f32 (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x)) (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x)) #s(literal -1/9 binary32)) (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal -1/3 binary32))) x)
(-.f32 (/.f32 (.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x))) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)))) (fma.f32 x (.f32 (.f32 x x) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (/.f32 (.f32 x x) (fma.f32 x (.f32 (.f32 x x) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))))
(-.f32 (/.f32 (.f32 x x) (-.f32 x (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x))))) (/.f32 (.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x))) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)))) (-.f32 x (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x))) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)))) (.f32 x (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)))))) (fma.f32 x (.f32 x x) (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x))) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)))) (-.f32 (.f32 x x) (.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x))) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)))))))
(/.f32 (fma.f32 x (.f32 x x) (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x))) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)))))) (fma.f32 x (-.f32 x (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)))) (.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x))) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x))))))
(/.f32 (fma.f32 x (.f32 x x) (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x))) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)))))) (fma.f32 x x (-.f32 (.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x))) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)))) (.f32 x (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)))))))
(/.f32 (.f32 (fma.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (fma.f32 x (.f32 (.f32 x x) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (fma.f32 x (.f32 (.f32 x x) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))))
(/.f32 (neg.f32 (fma.f32 x (.f32 x x) (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x))) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))))))) (neg.f32 (fma.f32 x (-.f32 x (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)))) (.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x))) (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)))))))
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(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))))) (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))))) (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (/.f32 (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))))) (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (fma.f32 (/.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (/.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (.f32 (/.f32 (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))))) (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (/.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x)))))))
(.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))) x))
(.f32 (fma.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))))) (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))))) (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))))))
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(.f32 (.f32 (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))) x) (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x))))
(.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))))) (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (-.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))))) (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))))))))
(.f32 (neg.f32 (.f32 (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))) x) (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) (neg.f32 x)))))
(.f32 (-.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))))))
(+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/5 binary32) (.f32 x x)))
(+.f32 (.f32 #s(literal 1/5 binary32) (.f32 x x)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(fma.f32 (*.f32 x #s(literal 1/5 binary32)) x #s(literal 1/3 binary32))
(-.f32 (/.f32 (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x)) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32))))
(-.f32 (/.f32 #s(literal 1/9 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/5 binary32) (.f32 x x)))) (/.f32 (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x)) (-.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/5 binary32) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/9 binary32) (-.f32 (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x)) (.f32 (.f32 x x) #s(literal 1/15 binary32)))) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/5 binary32) (.f32 x x))) (-.f32 #s(literal 1/9 binary32) (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x)))))
(/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)) (fma.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 1/15 binary32)))))
(/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x)) (.f32 (*.f32 x x) #s(literal 1/15 binary32)))))
(/.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x) #s(literal -1/9 binary32)) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))))
(/.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32))) (neg.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 1/15 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (-.f32 (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x)) (.f32 (*.f32 x x) #s(literal 1/15 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x) #s(literal -1/9 binary32))) (neg.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32))))
(/.f32 (-.f32 #s(literal 1/9 binary32) (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x))) (-.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/5 binary32) (.f32 x x))))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x)) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32))) (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32)) #s(literal 1/9 binary32))) (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 1/15 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x) #s(literal -1/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x)))) (neg.f32 (-.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/5 binary32) (.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x)) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x)) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32))) (/.f32 (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x)) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32))) (fma.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32))) (.f32 (/.f32 (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x)) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32)))))))
(.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x) (-.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 1/15 binary32))))))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (-.f32 (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x)) (.f32 (.f32 x x) #s(literal 1/15 binary32))))))
(.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32))))
(.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x) (-.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 1/15 binary32)))))))
(.f32 (neg.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x) #s(literal -1/9 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal -1/3 binary32)))))
(.f32 (-.f32 #s(literal 1/9 binary32) (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 #s(literal 1/5 binary32) (*.f32 x x)))))
(*.f32 x #s(literal 1/7 binary32))
(*.f32 #s(literal 1/7 binary32) x)
(*.f32 x #s(literal 2/3 binary32))
(*.f32 #s(literal 2/3 binary32) x)

eval192.0ms (2.5%)

Memory: 13.2MiB live, 98.1MiB allocated
Compiler: Compiled 17 904 to 1 206 computations (93.3% saved)

prune374.0ms (4.8%)

Memory

16.3MiB live, 174.0MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	672	2	674
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	673	8	681

Accuracy

100.0%

Counts

681 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	98.9%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
✓	98.7%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
✓	97.2%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
✓	98.9%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
▶	99.1%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
▶	99.1%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x))
✓	98.7%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))

Compiler

Compiled 139 to 76 computations (45.3% saved)

simplify323.0ms (4.2%)

Memory

-15.8MiB live, 340.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
cost-diff	0	(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
cost-diff	64	(-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))
cost-diff	160	(.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32))))))
cost-diff	320	(fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (*.f32 x x) #s(literal 1/35 binary32))))
cost-diff	0	(fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))
cost-diff	0	(.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x))
cost-diff	0	(fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x))

Rules

9 022×	`lower-fma.f64`
9 004×	`lower-fma.f32`
6 620×	`lower-*.f64`
6 596×	`lower-*.f32`
2 766×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	464
0	78	416
1	165	376
2	387	376
3	981	376
4	2672	376
5	4614	376
6	5335	376
0	8731	353

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x))
(fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)
(.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
x
(*.f32 x #s(literal 1/7 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
(*.f32 x x)
#s(literal 1/3 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
(fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #s(literal 1/3 binary32))
x
(.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32))))))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x)
(fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32))
(.f32 x (.f32 x x))
(*.f32 x x)
(.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32))
#s(literal 1/343 binary32)
#s(literal 1/125 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (*.f32 x x) #s(literal 1/35 binary32)))))
#s(literal 1 binary32)
(fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (*.f32 x x) #s(literal 1/35 binary32))))
(.f32 (.f32 x (*.f32 x x)) x)
#s(literal 1/49 binary32)
(-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))
#s(literal 1/25 binary32)
(.f32 (.f32 x x) #s(literal 1/35 binary32))
#s(literal 1/35 binary32)
#s(literal 1/3 binary32)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x x)
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(*.f32 x #s(literal 2/5 binary32))
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
#s(literal 2 binary32)

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
(fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x))
(.f32 (.f32 x x) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
x
(*.f32 x #s(literal 1/7 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
(*.f32 x x)
#s(literal 1/3 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 x x) (/.f32 (fma.f32 x (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x #s(literal 1/343 binary32)))) #s(literal 1/125 binary32)) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/49 binary32) #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #s(literal 1/3 binary32)) x))
(fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 x x) (/.f32 (fma.f32 x (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x #s(literal 1/343 binary32)))) #s(literal 1/125 binary32)) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/49 binary32) #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #s(literal 1/3 binary32)) x)
(fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #s(literal 1/3 binary32))
(fma.f32 (.f32 x x) (/.f32 (fma.f32 x (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x #s(literal 1/343 binary32)))) #s(literal 1/125 binary32)) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/49 binary32) #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #s(literal 1/3 binary32))
x
(.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32))))))
(/.f32 (.f32 x (fma.f32 x (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x #s(literal 1/343 binary32)))) #s(literal 1/125 binary32))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/49 binary32) #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x)
(.f32 x (fma.f32 x (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x #s(literal 1/343 binary32)))) #s(literal 1/125 binary32)))
(fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32))
(fma.f32 x (.f32 (.f32 x (.f32 x x)) (.f32 x (*.f32 x #s(literal 1/343 binary32)))) #s(literal 1/125 binary32))
(.f32 x (.f32 x x))
(*.f32 x x)
(.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32))
(.f32 x (.f32 x (*.f32 x #s(literal 1/343 binary32))))
#s(literal 1/343 binary32)
#s(literal 1/125 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (*.f32 x x) #s(literal 1/35 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/49 binary32) #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))
#s(literal 1 binary32)
(fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (*.f32 x x) #s(literal 1/35 binary32))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/49 binary32) #s(literal -1/35 binary32)) #s(literal 1/25 binary32))
(.f32 (.f32 x (*.f32 x x)) x)
(.f32 x (.f32 x (*.f32 x x)))
#s(literal 1/49 binary32)
(-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))
(fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))
#s(literal 1/25 binary32)
(.f32 (.f32 x x) #s(literal 1/35 binary32))
#s(literal 1/35 binary32)
#s(literal 1/3 binary32)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) #s(literal 2 binary32)))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) #s(literal 2 binary32))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(.f32 x (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) #s(literal 2 binary32)))
x
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) #s(literal 2 binary32))
(*.f32 x x)
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(*.f32 x #s(literal 2/5 binary32))
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
#s(literal 2 binary32)

localize193.0ms (2.5%)

Memory

13.7MiB live, 289.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
accuracy	0.03125	(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
accuracy	0.18359375	(*.f32 x #s(literal 2/5 binary32))
accuracy	0.3366918670806147	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
accuracy	0.166347509768442	(.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32))
accuracy	0.2874363999162859	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
accuracy	0.3441913641000169	(.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32))))))
accuracy	0.5546875	(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x)
accuracy	0.03515625	(fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))
accuracy	0.13671875	(.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x))
accuracy	0.2874363999162859	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x))
accuracy	0.515625	(*.f32 x #s(literal 1/7 binary32))

Samples

119.0ms

256×

valid

Compiler

Compiled 399 to 52 computations (87% saved)

Precisions

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

ival-mult: 54.0ms (52.2% of total)

const: 27.0ms (26.1% of total)

ival-add: 13.0ms (12.6% of total)

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

ival-sub: 2.0ms (1.9% of total)

ival-log1p: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory

3.3MiB live, 40.4MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) (patch (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) (patch (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (patch (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))) (patch (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) (patch (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32))) (patch (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) (patch (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) (patch (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) (patch (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (.f32 x #s(literal 1/7 binary32)) (patch (.f32 x #s(literal 1/7 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (patch (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) #<representation binary32>) () ())
#s(alt (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) (patch (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #<representation binary32>) () ())
#s(alt (.f32 x #s(literal 2/5 binary32)) (patch (.f32 x #s(literal 2/5 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) #<representation binary32>) () ())) ())
#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.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) #<representation binary32>) () ())) ())
#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.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) #<representation binary32>) () ())) ())
#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.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) #<representation binary32>) () ())) ())
#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.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) #<representation binary32>) () ())) ())
#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.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) #<representation binary32>) () ())) ())
#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.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) #<representation binary32>) () ())) ())
#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.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) (patch (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) (patch (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) (patch (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) (patch (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 7)) (taylor inf x) (#s(alt (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) (patch (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) (patch (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) (patch (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) (patch (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 7)) (taylor -inf x) (#s(alt (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) (patch (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) (patch (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) (taylor -inf x) (#s(alt (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) (patch (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) (patch (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x) #<representation binary32>) () ())) ())
#s(alt (* 1/3 (pow x 2)) (taylor 0 x) (#s(alt (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) (patch (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) #<representation binary32>) () ())) ())
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#s(alt (* 2/5 (pow x 2)) (taylor -inf x) (#s(alt (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) (patch (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #<representation binary32>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(* (* x (* x x)) 1/343)
2.0ms	x	@	inf	(* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2))
1.0ms	x	@	inf	(* (* (+ (* (* x (* x x)) (* (* x (* x x)) 1/343)) 1/125) x) (/ 1 (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35)))))
1.0ms	x	@	0	(* (* (+ (* (* x (* x x)) (* (* x (* x x)) 1/343)) 1/125) x) (/ 1 (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35)))))
1.0ms	x	@	inf	(* (+ (* (* x (* x x)) (* (* x (* x x)) 1/343)) 1/125) x)

simplify265.0ms (3.4%)

Memory

1.4MiB live, 324.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 662×	`lower-fma.f64`
12 662×	`lower-fma.f32`
4 224×	`lower-*.f64`
4 224×	`lower-*.f32`
2 510×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	1842
1	540	1814
2	1360	1805
3	3620	1802
4	7017	1798
0	8340	1662

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 200

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 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
1/25
(+ 1/25 (* -1/35 (pow x 2)))
(+ 1/25 (* (pow x 2) (- (* 1/49 (pow x 2)) 1/35)))
(+ 1/25 (* (pow x 2) (- (* 1/49 (pow x 2)) 1/35)))
(* 1/49 (pow x 4))
(* (pow x 4) (- 1/49 (* 1/35 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2)))))
(* 1/49 (pow x 4))
(* (pow x 4) (- 1/49 (* 1/35 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2)))))
(* 1/5 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
1/25
(+ 1/25 (* -1/35 (pow x 2)))
(+ 1/25 (* -1/35 (pow x 2)))
(+ 1/25 (* -1/35 (pow x 2)))
(* -1/35 (pow x 2))
(* (pow x 2) (- (* 1/25 (/ 1 (pow x 2))) 1/35))
(* (pow x 2) (- (* 1/25 (/ 1 (pow x 2))) 1/35))
(* (pow x 2) (- (* 1/25 (/ 1 (pow x 2))) 1/35))
(* -1/35 (pow x 2))
(* (pow x 2) (- (* 1/25 (/ 1 (pow x 2))) 1/35))
(* (pow x 2) (- (* 1/25 (/ 1 (pow x 2))) 1/35))
(* (pow x 2) (- (* 1/25 (/ 1 (pow x 2))) 1/35))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/125 x)
(* x (+ 1/125 (* 1/343 (pow x 6))))
(* x (+ 1/125 (* 1/343 (pow x 6))))
(* x (+ 1/125 (* 1/343 (pow x 6))))
(* 1/343 (pow x 7))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* 1/343 (pow x 7))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* 1/343 (pow x 3))
(* 1/343 (pow x 3))
(* 1/343 (pow x 3))
(* 1/343 (pow x 3))
(* 1/343 (pow x 3))
(* 1/343 (pow x 3))
(* 1/343 (pow x 3))
(* 1/343 (pow x 3))
(* 1/343 (pow x 3))
(* 1/343 (pow x 3))
(* 1/343 (pow x 3))
(* 1/343 (pow x 3))
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 x (.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/5 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) x)))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 x x))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 x (.f32 x #s(literal 1/3 binary32))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(* 1/7 (pow x 7))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 x (*.f32 x x))))))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x)))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) x)
(* 1/7 (pow x 7))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 x (*.f32 x x))))))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(* 1/7 (pow x 6))
(.f32 (.f32 x x) (.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x (.f32 x (*.f32 x x)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))
(* 1/7 (pow x 6))
(.f32 (.f32 x x) (.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x (.f32 x (*.f32 x x)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
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(.f32 x (fma.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) #s(literal 1/343 binary32) #s(literal 1/125 binary32)))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(.f32 x (fma.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) #s(literal 1/343 binary32) #s(literal 1/125 binary32)))
(* 1/343 (pow x 7))
(.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (*.f32 x #s(literal 1/343 binary32)))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(.f32 x (fma.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) #s(literal 1/343 binary32) #s(literal 1/125 binary32)))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(.f32 x (fma.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) #s(literal 1/343 binary32) #s(literal 1/125 binary32)))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(.f32 x (fma.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) #s(literal 1/343 binary32) #s(literal 1/125 binary32)))
(* 1/343 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/343 binary32))))
(* 1/343 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/343 binary32))))
(* 1/343 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/343 binary32))))
(* 1/343 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/343 binary32))))
(* 1/343 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/343 binary32))))
(* 1/343 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/343 binary32))))
(* 1/343 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/343 binary32))))
(* 1/343 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/343 binary32))))
(* 1/343 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/343 binary32))))
(* 1/343 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/343 binary32))))
(* 1/343 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/343 binary32))))
(* 1/343 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/343 binary32))))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
2/3
#s(literal 2/3 binary32)
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(* 2/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/5 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(* 2/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/5 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))

rewrite387.0ms (5%)

Memory

28.7MiB live, 573.9MiB allocated

Rules

5 992×	`lower-fma.f64`
5 974×	`lower-fma.f32`
4 810×	`lower-*.f64`
4 786×	`lower-*.f32`
3 748×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	300
0	78	254
1	325	227
2	2574	227
0	9060	216

Stop Event

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

Counts

17 → 397

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x))
(fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x)
(.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))
(fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (*.f32 x x) #s(literal 1/35 binary32))))
(.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32))))))
(-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x #s(literal 1/7 binary32))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x)
(.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32))
(*.f32 x #s(literal 2/5 binary32))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) x))
(+.f32 x (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))
(+.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(pow.f32 (/.f32 (fma.f32 x (-.f32 x (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (.f32 x (.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (neg.f32 x)) (.f32 (fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) x) (fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (neg.f32 x)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) x (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))
(fma.f32 x #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(fma.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x x)
(fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) x)
(fma.f32 (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 (.f32 x (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 x x) x)
(-.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (neg.f32 x))) (/.f32 (.f32 x x) (fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (neg.f32 x))))
(-.f32 (/.f32 (.f32 x x) (-.f32 x (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (-.f32 x (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (-.f32 x (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (.f32 x (.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (neg.f32 x)) (.f32 (fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) x) (fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (neg.f32 x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 x (-.f32 x (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (.f32 x (.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (neg.f32 x)) (.f32 (fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) x) (fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (neg.f32 x))))))
(/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (.f32 x (.f32 x x))) (fma.f32 x (-.f32 x (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))))
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(/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (.f32 (.f32 x x) #s(literal 4/15 binary32)))))
(/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (+.f32 #s(literal 4/9 binary32) (-.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/25 binary32)) (.f32 (*.f32 x x) #s(literal 4/15 binary32)))))
(/.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/25 binary32) #s(literal -4/9 binary32)) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))) (neg.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (.f32 (.f32 x x) #s(literal 4/15 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))) (neg.f32 (+.f32 #s(literal 4/9 binary32) (-.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/25 binary32)) (.f32 (*.f32 x x) #s(literal 4/15 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/25 binary32) #s(literal -4/9 binary32))) (neg.f32 (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))))
(/.f32 (-.f32 #s(literal 4/9 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/25 binary32))) (-.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x #s(literal 2/5 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/25 binary32)) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))) (.f32 (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32)) #s(literal 4/9 binary32))) (.f32 (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32)) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)))) (neg.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (.f32 (.f32 x x) #s(literal 4/15 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/25 binary32) #s(literal -4/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 4/9 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/25 binary32)))) (neg.f32 (-.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x #s(literal 2/5 binary32))))))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/25 binary32) (-.f32 #s(literal 4/9 binary32) (.f32 (*.f32 x x) #s(literal 4/15 binary32))))))
(.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/25 binary32) #s(literal -4/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal -2/3 binary32))))

eval147.0ms (1.9%)

Memory: -27.1MiB live, 293.7MiB allocated
Compiler: Compiled 27 528 to 2 177 computations (92.1% saved)

prune101.0ms (1.3%)

Memory

3.3MiB live, 245.0MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	595	2	597
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	596	9	605

Accuracy

100.0%

Counts

605 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	98.9%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
✓	98.7%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
✓	97.2%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
✓	98.9%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
▶	99.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
✓	99.1%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x))
✓	98.7%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
▶	99.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))

Compiler

Compiled 150 to 84 computations (44% saved)

simplify203.0ms (2.6%)

Memory

-5.5MiB live, 315.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32))
cost-diff	0	(fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
cost-diff	160	(.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))))
cost-diff	0	(*.f32 x x)
cost-diff	0	(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))

Rules

8 564×	`lower-fma.f64`
8 550×	`lower-fma.f32`
3 918×	`lower-*.f64`
3 902×	`lower-*.f32`
2 594×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	417
0	69	373
1	148	329
2	362	327
3	915	327
4	2661	327
5	4650	327
6	6403	327
0	8311	309

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
(.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(*.f32 x x)
x
(fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
(fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32))
x
(.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x)
(fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32))
(.f32 x (.f32 x x))
(*.f32 x x)
(.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32))
#s(literal 1/343 binary32)
#s(literal 1/125 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))
#s(literal 1 binary32)
#s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))
(fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))
(*.f32 x #s(literal -1/35 binary32))
#s(literal -1/35 binary32)
#s(literal 1/25 binary32)
#s(literal 1/3 binary32)

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
(.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(*.f32 x x)
x
(fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 (fma.f32 x (.f32 x (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) #s(literal 1/125 binary32)) #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))) #s(literal 1/3 binary32))) x))
(fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 (fma.f32 x (.f32 x (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) #s(literal 1/125 binary32)) #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))) #s(literal 1/3 binary32))) x)
(fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32))
(fma.f32 (.f32 x x) (/.f32 (fma.f32 x (.f32 x (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) #s(literal 1/125 binary32)) #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))) #s(literal 1/3 binary32))
x
(.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))))
(/.f32 (.f32 x (fma.f32 x (.f32 x (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) #s(literal 1/125 binary32))) #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x)
(.f32 x (fma.f32 x (.f32 x (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) #s(literal 1/125 binary32)))
(fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32))
(fma.f32 x (.f32 x (.f32 x (.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32)))) #s(literal 1/125 binary32))
(.f32 x (.f32 x x))
(*.f32 x x)
(.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32))
#s(literal 1/343 binary32)
#s(literal 1/125 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))
#s(literal 1 binary32)
#s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))
(fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))
(*.f32 x #s(literal -1/35 binary32))
#s(literal -1/35 binary32)
#s(literal 1/25 binary32)
#s(literal 1/3 binary32)

localize169.0ms (2.2%)

Memory

22.6MiB live, 302.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.2874363999162859	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
accuracy	0.3441913641000169	(.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))))
accuracy	0.44765497190749876	#s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))
accuracy	0.5546875	(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x)
accuracy	0.02734375	(.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
accuracy	0.0390625	(fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
accuracy	0.1875	(.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)))
accuracy	0.2874363999162859	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))

Samples

130.0ms

256×

valid

Compiler

Compiled 330 to 48 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 71.0ms (61.2% of total)

const: 27.0ms (23.3% of total)

ival-add: 9.0ms (7.8% of total)

ival-div: 4.0ms (3.5% of total)

ival-sub: 2.0ms (1.7% of total)

ival-log1p: 2.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory

-27.1MiB live, 10.7MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) (patch (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) (patch (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x) (patch (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x) #<representation binary32>) () ())
#s(alt (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) #<representation binary32>) () ())
#s(alt (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (patch (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) (patch #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #<representation binary32>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#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))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#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))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#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))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#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))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#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))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#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))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) (patch (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) (patch (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) (patch (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) (patch (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 7)) (taylor inf x) (#s(alt (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) (patch (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) (patch (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) (patch (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) (patch (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
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#s(alt (* 1/7 (pow x 3)) (taylor inf x) (#s(alt (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 3)) (taylor -inf x) (#s(alt (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) (patch (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #<representation binary32>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 4)) (taylor inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/7 (pow x 4)) (taylor -inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (patch (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 1/125 x) (taylor 0 x) (#s(alt (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (patch (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1/125 (* 1/343 (pow x 6)))) (taylor 0 x) (#s(alt (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (patch (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1/125 (* 1/343 (pow x 6)))) (taylor 0 x) (#s(alt (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (patch (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1/125 (* 1/343 (pow x 6)))) (taylor 0 x) (#s(alt (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (patch (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* 1/343 (pow x 7)) (taylor inf x) (#s(alt (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (patch (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6))))) (taylor inf x) (#s(alt (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (patch (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6))))) (taylor inf x) (#s(alt (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (patch (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6))))) (taylor inf x) (#s(alt (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (patch (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* 1/343 (pow x 7)) (taylor -inf x) (#s(alt (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (patch (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6))))) (taylor -inf x) (#s(alt (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (patch (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6))))) (taylor -inf x) (#s(alt (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (patch (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6))))) (taylor -inf x) (#s(alt (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (patch (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) #<representation binary32>) () ())) ())
#s(alt 1/25 (taylor 0 x) (#s(alt #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) (patch #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1/25 (* -1/35 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) (patch #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1/25 (* (pow x 2) (- (* 1/49 (pow x 2)) 1/35))) (taylor 0 x) (#s(alt #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) (patch #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1/25 (* (pow x 2) (- (* 1/49 (pow x 2)) 1/35))) (taylor 0 x) (#s(alt #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) (patch #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/49 (pow x 4)) (taylor inf x) (#s(alt #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) (patch #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (- 1/49 (* 1/35 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) (patch #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) (patch #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) (patch #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 1/49 (pow x 4)) (taylor -inf x) (#s(alt #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) (patch #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (- 1/49 (* 1/35 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) (patch #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) (patch #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) (patch #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #<representation binary32>) () ())) ())

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (* (+ (* x (* (* (+ (* (* x (* x x)) (* (* x (* x x)) 1/343)) 1/125) x) (/ 1 (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35)))))) 1/3) (* x (* x x))) x)
0.0ms	x	@	-inf	(+ (* (+ (* x (* (* (+ (* (* x (* x x)) (* (* x (* x x)) 1/343)) 1/125) x) (/ 1 (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35)))))) 1/3) (* x (* x x))) x)
0.0ms	x	@	inf	(+ (* x (* (* (+ (* (* x (* x x)) (* (* x (* x x)) 1/343)) 1/125) x) (/ 1 (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35)))))) 1/3)
0.0ms	x	@	inf	(* (+ (* (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) x)
0.0ms	x	@	0	(* (+ (* (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) x)

simplify229.0ms (2.9%)

Memory

1.0MiB live, 322.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 032×	`lower-fma.f64`
12 032×	`lower-fma.f32`
3 084×	`lower-*.f64`
3 084×	`lower-*.f32`
2 030×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1440
1	344	1414
2	869	1400
3	2311	1392
4	4910	1392
5	7630	1392
0	8209	1260

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 140

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 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(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)
(* 1/5 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/5 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/125 x)
(* x (+ 1/125 (* 1/343 (pow x 6))))
(* x (+ 1/125 (* 1/343 (pow x 6))))
(* x (+ 1/125 (* 1/343 (pow x 6))))
(* 1/343 (pow x 7))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* 1/343 (pow x 7))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
1/25
(+ 1/25 (* -1/35 (pow x 2)))
(+ 1/25 (* (pow x 2) (- (* 1/49 (pow x 2)) 1/35)))
(+ 1/25 (* (pow x 2) (- (* 1/49 (pow x 2)) 1/35)))
(* 1/49 (pow x 4))
(* (pow x 4) (- 1/49 (* 1/35 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2)))))
(* 1/49 (pow x 4))
(* (pow x 4) (- 1/49 (* 1/35 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x (.f32 x (.f32 x x)))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 x x))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(* 1/7 (pow x 7))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x)))))))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x x))) x)
(* 1/7 (pow x 7))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x)))))))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (fma.f32 (/.f32 #s(literal -1 binary32) (.f32 x x)) (-.f32 #s(literal -1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x x))) #s(literal 1/7 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(* 1/7 (pow x 6))
(.f32 (.f32 x x) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 x (*.f32 x x))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x x) (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) (.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) x)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) (fma.f32 (.f32 x (.f32 x x)) (/.f32 #s(literal 1/3 binary32) x) #s(literal 1 binary32)))
(* 1/7 (pow x 6))
(.f32 (.f32 x x) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 x (*.f32 x x))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x x) (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) (.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) x)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) (fma.f32 (.f32 x (.f32 x x)) (/.f32 #s(literal 1/3 binary32) x) #s(literal 1 binary32)))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* 1/7 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* 1/7 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x (.f32 x (.f32 x x)))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 x x))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(* 1/7 (pow x 7))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x)))))))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x x))) x)
(* 1/7 (pow x 7))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x)))))))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (fma.f32 (/.f32 #s(literal -1 binary32) (.f32 x x)) (-.f32 #s(literal -1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x x))) #s(literal 1/7 binary32)))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* 1/7 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* 1/7 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* 1/125 x)
(*.f32 x #s(literal 1/125 binary32))
(* x (+ 1/125 (* 1/343 (pow x 6))))
(.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) #s(literal 1/343 binary32) #s(literal 1/125 binary32)))
(* x (+ 1/125 (* 1/343 (pow x 6))))
(.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) #s(literal 1/343 binary32) #s(literal 1/125 binary32)))
(* x (+ 1/125 (* 1/343 (pow x 6))))
(.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) #s(literal 1/343 binary32) #s(literal 1/125 binary32)))
(* 1/343 (pow x 7))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (*.f32 x #s(literal 1/343 binary32)))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) #s(literal 1/343 binary32) #s(literal 1/125 binary32)))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) #s(literal 1/343 binary32) #s(literal 1/125 binary32)))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) #s(literal 1/343 binary32) #s(literal 1/125 binary32)))
(* 1/343 (pow x 7))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (*.f32 x #s(literal 1/343 binary32)))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) #s(literal 1/343 binary32) #s(literal 1/125 binary32)))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) #s(literal 1/343 binary32) #s(literal 1/125 binary32)))
(* (pow x 7) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) #s(literal 1/343 binary32) #s(literal 1/125 binary32)))
1/25
#s(literal 1/25 binary32)
(+ 1/25 (* -1/35 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))
(+ 1/25 (* (pow x 2) (- (* 1/49 (pow x 2)) 1/35)))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/49 binary32) #s(literal -1/35 binary32)) #s(literal 1/25 binary32))
(+ 1/25 (* (pow x 2) (- (* 1/49 (pow x 2)) 1/35)))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/49 binary32) #s(literal -1/35 binary32)) #s(literal 1/25 binary32))
(* 1/49 (pow x 4))
(.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32))
(* (pow x 4) (- 1/49 (* 1/35 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/49 binary32) #s(literal -1/35 binary32)))
(* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2)))))
(fma.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 1/25 binary32) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x x) #s(literal -1/35 binary32)))
(* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2)))))
(fma.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 1/25 binary32) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x x) #s(literal -1/35 binary32)))
(* 1/49 (pow x 4))
(.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32))
(* (pow x 4) (- 1/49 (* 1/35 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/49 binary32) #s(literal -1/35 binary32)))
(* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2)))))
(fma.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 1/25 binary32) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x x) #s(literal -1/35 binary32)))
(* (pow x 4) (- (+ 1/49 (/ 1/25 (pow x 4))) (* 1/35 (/ 1 (pow x 2)))))
(fma.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 1/25 binary32) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x x) #s(literal -1/35 binary32)))

rewrite410.0ms (5.3%)

Memory

15.9MiB live, 454.3MiB allocated

Rules

6 594×	`lower-fma.f64`
6 580×	`lower-fma.f32`
4 776×	`lower-*.f64`
4 760×	`lower-*.f32`
3 720×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	335
0	69	293
1	290	263
2	2312	263
0	8881	249

Stop Event

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

Counts

12 → 279

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
(.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(*.f32 x x)
(.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
(fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32))
(.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)))
(fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x)
#s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x))
(+.f32 x (.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))
(+.f32 x (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x))
(+.f32 (.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(+.f32 (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x) x)
(fma.f32 #s(literal 1 binary32) x (.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))
(fma.f32 #s(literal 1 binary32) x (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x))
(fma.f32 x #s(literal 1 binary32) (.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))
(fma.f32 x #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)
(fma.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x x)
(/.f32 (.f32 x (fma.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) #s(literal 1 binary32))) (fma.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))
(/.f32 (.f32 x (fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) #s(literal -1 binary32))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)))
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(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))))) (neg.f32 (-.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) #s(literal 1/9 binary32)) (.f32 (.f32 x x) (.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))
(.f32 (fma.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))
(+.f32 (.f32 x #s(literal 1/125 binary32)) (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) (.f32 x #s(literal 1/125 binary32)))
(+.f32 (.f32 #s(literal 1/125 binary32) x) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x))
(+.f32 (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x) (.f32 #s(literal 1/125 binary32) x))
(fma.f32 x #s(literal 1/125 binary32) (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32))))))
(fma.f32 x (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (*.f32 x #s(literal 1/125 binary32)))
(fma.f32 #s(literal 1/125 binary32) x (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32)))) x))
(fma.f32 (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x (*.f32 #s(literal 1/125 binary32) x))
(/.f32 (.f32 x (fma.f32 #s(literal 1/40353607 binary32) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))))) #s(literal 1/1953125 binary32))) (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/117649 binary32)) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/42875 binary32)) #s(literal 1/15625 binary32))))
(/.f32 (.f32 x (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/117649 binary32)) #s(literal -1/15625 binary32))) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal -1/125 binary32)))
(/.f32 (.f32 (fma.f32 #s(literal 1/40353607 binary32) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))))) #s(literal 1/1953125 binary32)) x) (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/117649 binary32)) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/42875 binary32)) #s(literal 1/15625 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/117649 binary32)) #s(literal -1/15625 binary32)) x) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal -1/125 binary32)))
(/.f32 (neg.f32 (.f32 x (fma.f32 #s(literal 1/40353607 binary32) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))))) #s(literal 1/1953125 binary32)))) (neg.f32 (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/117649 binary32)) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/42875 binary32)) #s(literal 1/15625 binary32)))))
(/.f32 (neg.f32 (.f32 x (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/117649 binary32)) #s(literal -1/15625 binary32)))) (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal -1/125 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 #s(literal 1/40353607 binary32) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))))) #s(literal 1/1953125 binary32)) x)) (neg.f32 (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/117649 binary32)) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal -1/42875 binary32)) #s(literal 1/15625 binary32)))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/117649 binary32)) #s(literal -1/15625 binary32)) x)) (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal -1/125 binary32))))
(/.f32 (+.f32 (pow.f32 (.f32 x #s(literal 1/125 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) #s(literal 3 binary32))) (fma.f32 (.f32 x #s(literal 1/125 binary32)) (.f32 x #s(literal 1/125 binary32)) (-.f32 (.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))))) (.f32 (.f32 x #s(literal 1/125 binary32)) (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))))))))
(/.f32 (+.f32 (pow.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) #s(literal 3 binary32)) (pow.f32 (.f32 x #s(literal 1/125 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) (-.f32 (.f32 (.f32 x #s(literal 1/125 binary32)) (.f32 x #s(literal 1/125 binary32))) (.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) (.f32 x #s(literal 1/125 binary32))))))
(/.f32 (+.f32 (pow.f32 (.f32 #s(literal 1/125 binary32) x) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x) #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 1/125 binary32) x) (.f32 #s(literal 1/125 binary32) x) (-.f32 (.f32 (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x)) (.f32 (.f32 #s(literal 1/125 binary32) x) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x)))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1/125 binary32) x) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x) (-.f32 (.f32 (.f32 #s(literal 1/125 binary32) x) (.f32 #s(literal 1/125 binary32) x)) (.f32 (.f32 (.f32 (.f32 x x) (.f32 x (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x) (.f32 #s(literal 1/125 binary32) x)))))
(.f32 #s(literal 1 binary32) (.f32 x (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32))))
(.f32 x (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)))
(.f32 x (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x)
(.f32 (.f32 x (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32))) #s(literal 1 binary32))
(exp.f32 (neg.f32 (.f32 (log.f32 #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))) #s(literal -1 binary32))))
(pow.f32 #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))))
(/.f32 #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))))
(/.f32 (neg.f32 #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1 binary32))
#s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))
(.f32 #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))) #s(literal 1 binary32))

eval67.0ms (0.9%)

Memory: 7.1MiB live, 117.1MiB allocated
Compiler: Compiled 23 097 to 1 396 computations (94% saved)

prune96.0ms (1.2%)

Memory

7.4MiB live, 203.3MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	502	5	507
Fresh	0	0	0
Picked	1	1	2
Done	4	3	7
Total	507	9	516

Accuracy

100.0%

Counts

516 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
	99.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) (.f32 (/.f32 x #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))) x) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
	99.2%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 #s(approx ( (+ (* (* x (* x x)) (* (* x (* x x)) 1/343)) 1/125) x) (.f32 x #s(literal 1/125 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
✓	99.1%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x))
✓	98.7%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
✓	99.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
	98.9%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x #s(approx (* x (+ (* 1/7 (* x x)) 1/5)) (*.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
	98.7%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(approx (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
	97.2%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32)) x))

Compiler

Compiled 453 to 165 computations (63.6% saved)

regimes23.0ms (0.3%)

Memory

18.4MiB live, 54.5MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(approx (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x #s(approx (* x (+ (* 1/7 (* x x)) 1/5)) (*.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 #s(approx ( (+ (* (* x (* x x)) (* (* x (* x x)) 1/343)) 1/125) x) (.f32 x #s(literal 1/125 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) (.f32 (/.f32 x #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))) x) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Calls

4 calls:

7.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
5.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
5.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
5.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes22.0ms (0.3%)

Memory

-28.0MiB live, 49.5MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(approx (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x #s(approx (* x (+ (* 1/7 (* x x)) 1/5)) (*.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 #s(approx ( (+ (* (* x (* x x)) (* (* x (* x x)) 1/343)) 1/125) x) (.f32 x #s(literal 1/125 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) (.f32 (/.f32 x #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))) x) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x (.f32 x x)) x) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))

Outputs

#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) (*.f32 (/.f32 x #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))) x) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))

Calls

4 calls:

6.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
5.0ms	x
5.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
5.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.3%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.3%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes17.0ms (0.2%)

Memory

33.8MiB live, 33.8MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(approx (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x #s(approx (* x (+ (* 1/7 (* x x)) 1/5)) (*.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 #s(approx ( (+ (* (* x (* x x)) (* (* x (* x x)) 1/343)) 1/125) x) (.f32 x #s(literal 1/125 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))

Outputs

#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (*.f32 #s(approx (* (+ (* (* x (* x x)) (* (* x (* x x)) 1/343)) 1/125) x) (*.f32 x #s(literal 1/125 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (*.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x x)) x))

Calls

4 calls:

4.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
4.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
4.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
4.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.2%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.2%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes18.0ms (0.2%)

Memory

-11.6MiB live, 33.5MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(approx (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x #s(approx (* x (+ (* 1/7 (* x x)) 1/5)) (*.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x))

Outputs

#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (*.f32 (fma.f32 (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x)) x x))

Calls

4 calls:

6.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
4.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
4.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
4.0ms	x

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.1%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.1%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes47.0ms (0.6%)

Memory

-19.8MiB live, 19.1MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(approx (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x #s(approx (* x (+ (* 1/7 (* x x)) 1/5)) (*.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))

Outputs

#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))

Calls

4 calls:

37.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	x

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.0%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.0%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes13.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(approx (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x #s(approx (* x (+ (* 1/7 (* x x)) 1/5)) (*.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))

Calls

4 calls:

3.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	x

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.9%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.9%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes22.0ms (0.3%)

Memory

-23.0MiB live, 15.7MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(approx (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x #s(approx (* x (+ (* 1/7 (* x x)) 1/5)) (*.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))

Outputs

#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x #s(approx (* x (+ (* 1/7 (* x x)) 1/5)) (*.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))

Calls

4 calls:

14.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms	x

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.9%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.9%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes10.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(approx (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))

Calls

4 calls:

2.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms	x
2.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.7%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.7%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes8.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(approx (+ (* (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32)) x))

(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))

#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 (fma.f32 (*.f32 x x) #s(approx (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(approx (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))

Calls

4 calls:

2.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms	x

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.7%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.7%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes38.0ms (0.5%)

Memory

-27.8MiB live, 11.1MiB 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))))) (*.f32 #s(approx (+ (* (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32)) x))

(*.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32)) x))

Calls

4 calls:

33.0ms	x
2.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
1.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
97.2%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
97.2%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify10.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary32`
4×	`sub-neg_binary32`
4×	`+-commutative_binary32`
2×	`neg-sub0_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	361
1	112	361
2	116	361
3	118	361
4	119	361

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) (.f32 (/.f32 x #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))) x) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 #s(approx ( (+ (* (* x (* x x)) (* (* x (* x x)) 1/343)) 1/125) x) (.f32 x #s(literal 1/125 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x #s(approx (* x (+ (* 1/7 (* x x)) 1/5)) (*.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(approx (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32)) x))

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) (.f32 (/.f32 x #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32)))) x) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) (.f32 x (/.f32 x #s(approx (+ (* (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 x (.f32 #s(approx ( (+ (* (* x (* x x)) (* (* x (* x x)) 1/343)) 1/125) x) (.f32 x #s(literal 1/125 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ ( (* (* x (* x x)) x) 1/49) (- 1/25 (* (* x x) 1/35))) (fma.f32 x (.f32 x #s(literal -1/35 binary32)) #s(literal 1/25 binary32))))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x x) (fma.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x #s(approx (* x (+ (* 1/7 (* x x)) 1/5)) (*.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x #s(approx (* x (+ (* 1/7 (* x x)) 1/5)) (*.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(approx (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x (fma.f32 (.f32 x x) #s(approx (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* 1/7 (* x x)) 1/5))) 1/3)) 1) #s(literal 1 binary32))))

soundness1.5s (19.3%)

Memory

3.7MiB live, 928.4MiB allocated

Rules

12 938×	`lower-fma.f64`
12 938×	`lower-fma.f32`
12 662×	`lower-fma.f64`
12 662×	`lower-fma.f32`
12 032×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	300
0	78	254
1	325	227
2	2574	227
0	9060	216
0	119	1440
1	344	1414
2	869	1400
3	2311	1392
4	4910	1392
5	7630	1392
0	8209	1260
0	106	404
1	312	390
2	798	382
3	2146	380
4	4029	380
5	6487	380
0	8272	358
0	45	335
0	69	293
1	290	263
2	2312	263
0	8881	249
0	35	243
0	58	229
1	221	229
2	1577	229
0	8261	215
0	179	1842
1	540	1814
2	1360	1805
3	3620	1802
4	7017	1798
0	8340	1662

Stop Event

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

Compiler

Compiled 389 to 178 computations (54.2% saved)

preprocess72.0ms (0.9%)

Memory: -7.0MiB live, 145.9MiB allocated
Compiler: Compiled 346 to 120 computations (65.3% 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	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

start0.0ms (0%)

analyze1.0ms (0%)

sample364.0ms (4.7%)

explain88.0ms (1.1%)

preprocess24.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize26.0ms (0.3%)

series7.0ms (0.1%)

simplify245.0ms (3.1%)

rewrite231.0ms (3%)

eval23.0ms (0.3%)

prune38.0ms (0.5%)

simplify653.0ms (8.4%)

localize318.0ms (4.1%)

series19.0ms (0.2%)

simplify304.0ms (3.9%)

rewrite402.0ms (5.2%)

eval192.0ms (2.5%)

prune374.0ms (4.8%)

simplify323.0ms (4.2%)

localize193.0ms (2.5%)

series43.0ms (0.6%)

simplify265.0ms (3.4%)

rewrite387.0ms (5%)

eval147.0ms (1.9%)

prune101.0ms (1.3%)

simplify203.0ms (2.6%)

localize169.0ms (2.2%)

series27.0ms (0.4%)

simplify229.0ms (2.9%)

rewrite410.0ms (5.3%)

eval67.0ms (0.9%)

prune96.0ms (1.2%)

regimes23.0ms (0.3%)

regimes22.0ms (0.3%)

regimes17.0ms (0.2%)

regimes18.0ms (0.2%)

regimes47.0ms (0.6%)

regimes13.0ms (0.2%)

regimes22.0ms (0.3%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes38.0ms (0.5%)

simplify10.0ms (0.1%)

soundness1.5s (19.3%)

preprocess72.0ms (0.9%)

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