Metrics for Rust f32::atanh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

2.7MiB live, 2.7MiB 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)

sample352.0ms (4.3%)

Memory

0.6MiB live, 510.9MiB allocated

Samples

207.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-atanh: 94.0ms (93.3% of total)

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

ival-assert: 3.0ms (3% of total)

Bogosity

explain180.0ms (2.2%)

Memory

-2.8MiB live, 74.4MiB 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

109.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-sub: 84.0ms (85.7% of total)

ival-mult: 6.0ms (6.1% of total)

ival-log1p: 4.0ms (4.1% of total)

ival-div: 3.0ms (3.1% of total)

exact: 1.0ms (1% of total)

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

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

preprocess36.0ms (0.4%)

Memory

-10.5MiB live, 31.1MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify13.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB 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)

localize51.0ms (0.6%)

Memory

7.1MiB live, 42.7MiB 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	0.03125	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
accuracy	0.0390625	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Samples

15.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (35.5% of total)

ival-div: 2.0ms (23.7% of total)

ival-log1p: 2.0ms (23.7% of total)

ival-sub: 1.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB 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	@	0	(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
1.0ms	x	@	-inf	(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
1.0ms	x	@	inf	(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
0.0ms	x	@	inf	(* 2 x)
0.0ms	x	@	-inf	(* 2 x)

simplify764.0ms (9.3%)

Memory

-166.8MiB live, 419.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.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 (.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 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 (/.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 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))

rewrite300.0ms (3.7%)

Memory

29.6MiB live, 441.1MiB 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))

eval43.0ms (0.5%)

Memory: -21.0MiB live, 75.1MiB allocated
Compiler: Compiled 5 051 to 805 computations (84.1% saved)

prune33.0ms (0.4%)

Memory

26.8MiB live, 104.9MiB 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))))
	98.8%	(.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)))))
▶	98.4%	(.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)))))
▶	97.0%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
▶	99.1%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 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 x (.f32 x x)) x))
▶	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))
▶	98.5%	#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 101 computations (41.6% saved)

simplify1.5s (17.7%)

Memory

-4.1MiB live, 1 036.6MiB 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 x)
cost-diff	0	(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))
cost-diff	0	(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 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) (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	34	273
0	56	255
1	109	255
2	194	255
3	369	255
4	715	255
5	827	255
6	909	255
7	1411	255
8	2103	255
9	2815	255
10	3556	255
11	4998	255
12	5813	255
13	6438	255
14	6596	255
15	6611	255
16	6731	255
17	6821	255
18	6834	255
19	6834	255
0	8410	241

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

localize261.0ms (3.2%)

Memory

-41.7MiB live, 127.9MiB 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	0.33842697225645596	#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	0.00390625	(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
accuracy	0.03125	(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
accuracy	0.34765625	(*.f32 x #s(literal 2/3 binary32))
accuracy	0.48127760184804647	#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	0.48127760184804647	#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	0.9642454675577629	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32)))
accuracy	0.046875	(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))
accuracy	0.07421875	(.f32 x (.f32 x x))
accuracy	0.2761195425146215	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 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 x (.f32 x x)) x))
accuracy	0.56640625	(*.f32 x #s(literal 1/7 binary32))

Samples

83.0ms

256×

valid

Compiler

Compiled 219 to 35 computations (84% saved)

Precisions

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

ival-add: 34.0ms (48.2% of total)

ival-mult: 20.0ms (28.3% of total)

const: 11.0ms (15.6% of total)

ival-div: 2.0ms (2.8% of total)

ival-log1p: 2.0ms (2.8% of total)

ival-sub: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

19 → 228

Calls

Call 1

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

57 calls:

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

simplify386.0ms (4.7%)

Memory

13.8MiB live, 482.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 814×	`lower-fma.f64`
13 814×	`lower-fma.f32`
4 550×	`lower-*.f64`
4 550×	`lower-*.f32`
2 066×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	1890
1	428	1823
2	1134	1811
3	3183	1808
4	6458	1808
0	8269	1674

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 220

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

rewrite337.0ms (4.1%)

Memory

20.2MiB live, 497.3MiB allocated

Rules

5 762×	`lower-fma.f64`
5 748×	`lower-fma.f32`
4 404×	`lower-*.f64`
4 388×	`lower-*.f32`
4 270×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	235
0	56	221
1	219	221
2	1585	221
0	8315	207

Stop Event

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

Counts

19 → 312

Calls

Call 1

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

eval58.0ms (0.7%)

Memory: -8.6MiB live, 145.5MiB allocated
Compiler: Compiled 17 332 to 1 134 computations (93.5% saved)

prune141.0ms (1.7%)

Memory

11.3MiB live, 260.6MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	662	2	664
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	664	7	671

Accuracy

100.0%

Counts

671 → 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))))
▶	98.8%	(.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)))))
✓	98.4%	(.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)))))
✓	97.0%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
✓	99.1%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 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 x (.f32 x x)) x))
▶	98.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x #s(literal 1/3 binary32)) x) x x))
▶	98.9%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (*.f32 x x) x))

Compiler

Compiled 92 to 56 computations (39.1% saved)

simplify299.0ms (3.6%)

Memory

-29.6MiB live, 244.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

4 560×	`lower-fma.f64`
4 550×	`lower-fma.f32`
1 912×	`lower-*.f64`
1 896×	`lower-*.f32`
926×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	192
0	48	192
1	102	192
2	201	188
3	362	188
4	439	188
5	607	188
6	682	188
7	988	188
8	1451	188
9	1859	188
10	2309	188
11	2731	188
12	3144	188
13	4166	188
14	4657	188
15	5110	188
16	5216	188
17	5219	188
18	5221	188
19	5221	188
20	5223	188
21	5223	188
22	5233	188
0	5233	176

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize127.0ms (1.5%)

Memory

12.7MiB live, 128.4MiB 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	0.0546875	(.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	0.19140625	(*.f32 x #s(literal 2/5 binary32))
accuracy	0.33842697225645596	#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	(fma.f32 (.f32 (.f32 x #s(literal 1/3 binary32)) x) x x)
accuracy	0.12109375	(.f32 (.f32 x #s(literal 1/3 binary32)) x)
accuracy	0.34765625	(*.f32 x #s(literal 1/3 binary32))
accuracy	0.48127760184804647	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x #s(literal 1/3 binary32)) x) x x))
accuracy	0.0234375	(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
accuracy	0.19140625	(*.f32 x #s(literal 1/5 binary32))
accuracy	0.328125	(.f32 x (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
accuracy	0.33842697225645596	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (*.f32 x x) x))

Samples

100.0ms

256×

valid

Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

const: 59.0ms (66% of total)

ival-mult: 19.0ms (21.3% of total)

ival-add: 5.0ms (5.6% of total)

ival-div: 2.0ms (2.2% of total)

ival-log1p: 2.0ms (2.2% of total)

ival-sub: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

0.6MiB live, 37.9MiB allocated

Counts

15 → 180

Calls

Call 1

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

45 calls:

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

simplify336.0ms (4.1%)

Memory

-1.2MiB live, 411.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 098×	`lower-fma.f64`
9 098×	`lower-fma.f32`
3 922×	`lower-*.f64`
3 922×	`lower-*.f32`
1 596×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	1456
1	403	1410
2	1017	1402
3	2707	1398
4	6297	1398
0	8126	1295

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 175

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

rewrite376.0ms (4.6%)

Memory

25.0MiB live, 579.3MiB allocated

Rules

7 284×	`lower-fma.f64`
7 274×	`lower-fma.f32`
4 210×	`lower-*.f64`
4 194×	`lower-*.f32`
3 936×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	176
0	48	176
1	194	172
2	1386	172
0	8584	160

Stop Event

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

Counts

15 → 313

Calls

Call 1

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

eval133.0ms (1.6%)

Memory: -20.4MiB live, 95.8MiB allocated
Compiler: Compiled 14 842 to 1 232 computations (91.7% saved)

prune115.0ms (1.4%)

Memory

20.5MiB live, 141.6MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	486	2	488
Fresh	0	0	0
Picked	1	2	3
Done	1	3	4
Total	488	7	495

Accuracy

100.0%

Counts

495 → 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))))
✓	97.0%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 x #s(literal 2 binary32))))
✓	99.1%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 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 x (.f32 x x)) x))
✓	98.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x #s(literal 1/3 binary32)) x) x x))
✓	98.9%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (*.f32 x x) x))
▶	98.8%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 x (.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x))
▶	98.4%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))

Compiler

Compiled 88 to 52 computations (40.9% saved)

simplify171.0ms (2.1%)

Memory

-27.7MiB live, 138.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

2 480×	`lower-fma.f64`
2 474×	`lower-fma.f32`
1 140×	`lower-*.f64`
1 130×	`lower-*.f32`
534×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	112
0	33	112
1	61	112
2	113	108
3	196	108
4	327	108
5	388	108
6	482	108
7	786	108
8	1103	108
9	1509	108
10	1919	108
11	2333	108
12	2532	108
13	2618	108
14	2641	108
15	2644	108
16	2644	108
17	2654	108
18	2658	108
19	2658	108
20	2662	108
0	2662	100

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize98.0ms (1.2%)

Memory

-5.1MiB live, 107.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
accuracy	0.0546875	(.f32 (fma.f32 x (.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
accuracy	0.328125	(.f32 x (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)))
accuracy	0.33842697225645596	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 x (.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x))
accuracy	0.00390625	(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
accuracy	0.03125	(.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
accuracy	0.34765625	(*.f32 x #s(literal 1/3 binary32))
accuracy	0.48127760184804647	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))

Samples

39.0ms

256×

valid

Compiler

Compiled 99 to 24 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 14.0ms (45.4% of total)

const: 8.0ms (26% of total)

ival-add: 3.0ms (9.7% of total)

ival-div: 2.0ms (6.5% of total)

ival-log1p: 2.0ms (6.5% of total)

ival-sub: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

9 → 108

Calls

Call 1

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

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* (+ (* x (* x 1/3)) 1) x)
0.0ms	x	@	inf	(* (+ (* x (* x 1/3)) 1) x)
0.0ms	x	@	inf	(* (+ (* x (* x (+ (* 1/5 (* x x)) 1/3))) 1) x)
0.0ms	x	@	-inf	(* (+ (* x (* x 1/3)) 1) x)
0.0ms	x	@	0	(* (+ (* x (* x (+ (* 1/5 (* x x)) 1/3))) 1) x)

simplify435.0ms (5.3%)

Memory

31.4MiB live, 418.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 836×	`lower-fma.f64`
13 836×	`lower-fma.f32`
5 124×	`lower-*.f64`
5 124×	`lower-*.f32`
1 570×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	912
1	234	874
2	573	870
3	2472	868
4	6088	868
0	8458	786

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 104

Calls

Call 1

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

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

rewrite353.0ms (4.3%)

Memory

13.0MiB live, 604.7MiB allocated

Rules

10 292×	`lower-fma.f64`
10 286×	`lower-fma.f32`
5 574×	`lower-*.f64`
5 564×	`lower-*.f32`
2 982×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	102
0	33	102
1	125	102
2	932	98
0	8801	90

Stop Event

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

Counts

9 → 304

Calls

Call 1

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

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

eval39.0ms (0.5%)

Memory: -24.3MiB live, 88.6MiB allocated
Compiler: Compiled 10 721 to 1 018 computations (90.5% saved)

prune152.0ms (1.8%)

Memory

-6.8MiB live, 127.0MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	406	2	408
Fresh	0	0	0
Picked	0	2	2
Done	1	4	5
Total	407	8	415

Accuracy

100.0%

Counts

415 → 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))))
✓	99.1%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 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 x (.f32 x x)) x))
✓	98.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 x #s(literal 1/3 binary32)) x) x x))
✓	98.9%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (*.f32 x x) x))
	98.8%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/5 binary32) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32))) x))
✓	98.8%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 x (.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x))
✓	98.4%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x))
	97.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( x (* x (+ (* 1/5 (* x x)) 1/3))) 1) #s(literal 1 binary32)) x))

Compiler

Compiled 261 to 112 computations (57.1% saved)

regimes18.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

regimes31.0ms (0.4%)

Memory

-10.8MiB live, 26.9MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

19.0ms	(log1p.f32 (/.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	(/.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)

regimes17.0ms (0.2%)

Memory

-7.1MiB live, 36.6MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes13.0ms (0.2%)

Memory

-8.2MiB live, 30.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 x (.f32 x (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))) #s(literal 1 binary32)) 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))))
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)))
3.0ms	x

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes11.0ms (0.1%)

Memory

28.3MiB live, 28.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.5%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.5%	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

-14.9MiB live, 23.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( x (* x (+ (* 1/5 (* x x)) 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 x (.f32 x #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))

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:

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

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.5%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.5%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes9.0ms (0.1%)

Memory

-17.4MiB live, 21.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.4%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.4%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes7.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB 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 (+ (* 1/5 (* x x)) 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 (+ (* 1/5 (* x x)) 1/3))) 1) #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))
1.0ms	x

Results

Accuracy	Segments	Branch
97.0%	1	`x`
97.0%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
97.0%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
97.0%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify8.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-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	53	186
1	70	186
2	74	186
3	76	186
4	77	186

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

soundness951.0ms (11.6%)

Memory

-12.4MiB live, 625.1MiB allocated

Rules

13 836×	`lower-fma.f64`
13 836×	`lower-fma.f32`
12 938×	`lower-fma.f64`
12 938×	`lower-fma.f32`
7 284×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	176
0	48	176
1	194	172
2	1386	172
0	8584	160
0	106	404
1	312	390
2	798	382
3	2146	380
4	4029	380
5	6487	380
0	8272	358
0	76	912
1	234	874
2	573	870
3	2472	868
4	6088	868
0	8458	786
0	34	235
0	56	221
1	219	221
2	1585	221
0	8315	207

Stop Event

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

Compiler

Compiled 270 to 125 computations (53.7% saved)

preprocess61.0ms (0.7%)

Memory: -5.9MiB live, 148.2MiB allocated
Compiler: Compiled 202 to 84 computations (58.4% 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%)

sample352.0ms (4.3%)

explain180.0ms (2.2%)

preprocess36.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.2%)

localize51.0ms (0.6%)

series6.0ms (0.1%)

simplify764.0ms (9.3%)

rewrite300.0ms (3.7%)

eval43.0ms (0.5%)

prune33.0ms (0.4%)

simplify1.5s (17.7%)

localize261.0ms (3.2%)

series15.0ms (0.2%)

simplify386.0ms (4.7%)

rewrite337.0ms (4.1%)

eval58.0ms (0.7%)

prune141.0ms (1.7%)

simplify299.0ms (3.6%)

localize127.0ms (1.5%)

series13.0ms (0.2%)

simplify336.0ms (4.1%)

rewrite376.0ms (4.6%)

eval133.0ms (1.6%)

prune115.0ms (1.4%)

simplify171.0ms (2.1%)

localize98.0ms (1.2%)

series8.0ms (0.1%)

simplify435.0ms (5.3%)

rewrite353.0ms (4.3%)

eval39.0ms (0.5%)

prune152.0ms (1.8%)

regimes18.0ms (0.2%)

regimes31.0ms (0.4%)

regimes17.0ms (0.2%)

regimes13.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

simplify8.0ms (0.1%)

soundness951.0ms (11.6%)

preprocess61.0ms (0.7%)

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