Metrics for Rust f32::atanh

analyze1.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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)

sample338.0ms (4.7%)

Memory

-20.0MiB live, 535.2MiB allocated

Samples

212.0ms	8 256×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-atanh: 82.0ms (91.2% of total)

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

ival-assert: 3.0ms (3.3% of total)

Bogosity

preprocess25.0ms (0.3%)

Memory

-0.6MiB live, 35.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain92.0ms (1.3%)

Memory

37.8MiB live, 191.8MiB 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

39.0ms

512×

valid

Compiler

Compiled 104 to 40 computations (61.5% saved)

Precisions

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

ival-mult: 6.0ms (33.2% of total)

ival-log1p: 4.0ms (22.1% of total)

ival-sub: 3.0ms (16.6% of total)

ival-div: 3.0ms (16.6% of total)

exact: 1.0ms (5.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.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)

simplify15.0ms (0.2%)

Memory

-20.3MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize27.0ms (0.4%)

Memory

22.8MiB live, 60.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 #s(literal 2 binary32) x)
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	accuracy	99.9%	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
✓	accuracy	99.8%	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Samples

16.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-mult: 5.0ms (48.4% of total)

ival-div: 2.0ms (19.4% of total)

ival-log1p: 2.0ms (19.4% of total)

ival-sub: 1.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.3%)

Memory

-43.7MiB 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)

rewrite261.0ms (3.6%)

Memory

35.5MiB live, 452.3MiB allocated

Algorithm

1×	batch-egg-rewrite

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)))))
(+.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 (/.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 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 (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)) (fma.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 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #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)))) (log1p.f32 (.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 (*.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 (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)) (-.f32 #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)))) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32))))))) (log1p.f32 (neg.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 (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 (/.f32 #s(literal 1 binary32) (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))))))
(fma.f32 #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)))) (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)))))))
(fma.f32 #s(literal -1 binary32) (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))))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))))
(-.f32 #s(literal 0 binary32) (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))))
(-.f32 #s(literal 0 binary32) (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 (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)))))) (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))))) (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32))) #s(literal 9 binary32))) (log.f32 (.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)) (fma.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 (/.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))))) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.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 (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 (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 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32))))
(-.f32 (log1p.f32 (.f32 #s(literal 64 binary32) (.f32 (/.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))))) (/.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)))))))) (log.f32 (.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)) (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)))))
(-.f32 (log1p.f32 (.f32 #s(literal 64 binary32) (.f32 (/.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))))) (/.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)))))))) (log.f32 (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)) (fma.f32 (/.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))))) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #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 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #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))))))))
(-.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)))) (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 (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))))))) (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 x (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32)))
(/.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (fma.f32 (fma.f32 x x x) (.f32 (fma.f32 x x x) (fma.f32 x x x)) #s(literal 1 binary32))) (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 x x x) (fma.f32 x x x)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))
(/.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (+.f32 x #s(literal 1 binary32)))
(/.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (+.f32 x (fma.f32 x x #s(literal 1 binary32))))
(*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))))
(.f32 #s(literal 2 binary32) (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 x (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal 1 binary32))))
(.f32 x (.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal 1 binary32)))))
(.f32 x (.f32 (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)))
(.f32 x (.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))))
(.f32 (.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32))))
(.f32 (+.f32 x #s(literal 1 binary32)) (/.f32 (.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))
(.f32 (.f32 x #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32))))
(.f32 (.f32 x #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32)))
(.f32 (+.f32 x (fma.f32 x x #s(literal 1 binary32))) (/.f32 (.f32 #s(literal 2 binary32) x) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x)))
(.f32 (neg.f32 x) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))))
(*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))
(*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 2 binary32))
(.f32 #s(literal -1 binary32) (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32))) (.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))
(*.f32 #s(literal -2 binary32) (/.f32 (neg.f32 x) (+.f32 x #s(literal 1 binary32))))
(.f32 #s(literal -2 binary32) (.f32 x (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))))
(.f32 (/.f32 x (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x (fma.f32 x x #s(literal 1 binary32))))))
(.f32 (/.f32 x (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (*.f32 (+.f32 x (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32)))
(*.f32 (/.f32 x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))))
(.f32 (/.f32 x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 x (fma.f32 x x #s(literal 1 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 x (fma.f32 x x #s(literal 1 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (fma.f32 x x x)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 (.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (+.f32 x (fma.f32 x x #s(literal 1 binary32))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x (fma.f32 x x #s(literal 1 binary32))))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (.f32 (+.f32 x (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (+.f32 x #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal 1 binary32))) x)
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) (+.f32 x #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 2 binary32) (fma.f32 x (.f32 x x) #s(literal 1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 x (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (/.f32 #s(literal 2 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))))
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal 1 binary32))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (fma.f32 x (.f32 x x) #s(literal 1 binary32)))) (+.f32 x (fma.f32 x x #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (+.f32 x #s(literal 1 binary32)))
(.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (neg.f32 (+.f32 x (fma.f32 x x #s(literal 1 binary32)))))
(.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (+.f32 x #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (neg.f32 (fma.f32 x (*.f32 x x) #s(literal 1 binary32)))) (neg.f32 (+.f32 x (fma.f32 x x #s(literal 1 binary32)))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (+.f32 x #s(literal -1 binary32)))
(neg.f32 (*.f32 x #s(literal -2 binary32)))
(-.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))

simplify493.0ms (6.9%)

Memory

-26.1MiB live, 468.8MiB 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))

eval88.0ms (1.2%)

Memory: -0.2MiB live, 39.5MiB allocated
Compiler: Compiled 5 004 to 805 computations (83.9% saved)

prune93.0ms (1.3%)

Memory

9.3MiB live, 48.6MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	202	7	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	202	8	210

Accuracy

100.0%

Counts

210 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(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)
▶	99.4%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
▶	98.7%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
	99.3%	(.f32 #s(literal 1/2 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))))
▶	98.6%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
▶	96.2%	(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
	99.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))))

Compiler

Compiled 185 to 121 computations (34.6% saved)

simplify1.1s (15.6%)

Memory

36.1MiB live, 745.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 x (.f32 x x))
✓	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	(*.f32 x #s(literal 2/3 binary32))
✓	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	160	(.f32 #s(literal 1/2 binary32) (.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	(*.f32 x #s(literal 2 binary32))
✓	cost-diff	320	(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
✓	cost-diff	0	(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 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)

Rules

30 892×	`lower-fma.f64`
30 878×	`lower-fma.f32`
6 880×	`lower-+.f64`
6 880×	`lower-+.f32`
4 112×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	140
0	44	120
1	92	120
2	201	120
3	419	120
4	1703	120
5	2668	120
6	3676	120
7	3742	120
8	3742	120
9	3742	120
10	3766	120
11	4822	120
12	4838	120
13	4874	120
14	4890	120
15	4890	120
16	4978	120
17	5020	120
18	5021	120
19	5021	120
0	8019	120

Stop Event

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

Calls

Call 1

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

localize157.0ms (2.2%)

Memory

4.1MiB live, 121.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.8%	(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	100.0%	(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	accuracy	99.9%	(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
✓	accuracy	99.1%	(*.f32 x #s(literal 2/3 binary32))
✓	accuracy	100.0%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
✓	accuracy	99.9%	(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
✓	accuracy	99.9%	(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	99.7%	(.f32 x (.f32 x x))
✓	accuracy	98.4%	(*.f32 x #s(literal 1/7 binary32))

Samples

127.0ms

256×

valid

Compiler

Compiled 155 to 31 computations (80% saved)

Precisions

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

ival-mult: 54.0ms (54.4% of total)

ival-add: 34.0ms (34.2% of total)

const: 11.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

series48.0ms (0.7%)

Memory

-1.7MiB live, 36.6MiB allocated

Counts

15 → 180

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#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 (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#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 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#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 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt (fma.f32 (fma.f32 (.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 (* 1/7 (pow x 7)) (taylor inf x) (#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 (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f32 (fma.f32 (.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 (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (fma.f32 (fma.f32 (.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 (* 1/7 (pow x 7)) (taylor -inf x) (#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 (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (.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 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (.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 1/3 (taylor 0 x) (#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 (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#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 (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (taylor 0 x) (#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 (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (taylor 0 x) (#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 (* 1/7 (pow x 4)) (taylor inf x) (#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 (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor inf x) (#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 (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))) (taylor inf x) (#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>) () ())) ())
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#s(alt (* 2 x) (taylor 0 x) (#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 (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#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 (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#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 (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#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 (* 2/3 (pow x 3)) (taylor inf x) (#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 (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* 2/3 (pow x 3)) (taylor -inf x) (#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 (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#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 2 (taylor 0 x) (#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 (+ 2 (* 2/3 (pow x 2))) (taylor 0 x) (#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 (+ 2 (* 2/3 (pow x 2))) (taylor 0 x) (#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 (+ 2 (* 2/3 (pow x 2))) (taylor 0 x) (#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 (* 2/3 (pow x 2)) (taylor inf x) (#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 (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* 2/3 (pow x 2)) (taylor -inf x) (#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 (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* 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>) () ())) ())
#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>) () ())) ())

Calls

45 calls:

Time	Variable		Point	Expression
35.0ms	x	@	0	(+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)
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	(* 1/2 (* x (+ (* x (* x 2/3)) 2)))

rewrite387.0ms (5.4%)

Memory

-23.4MiB live, 638.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 600×	`lower-fma.f64`
7 586×	`lower-fma.f32`
5 102×	`lower-*.f64`
5 086×	`lower-*.f32`
4 252×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	108
0	44	100
1	175	98
2	1247	95
0	8223	94

Stop Event

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

Counts

15 → 459

Calls

Call 1

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

Outputs
(+.f32 x (.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)))))
(+.f32 (.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)
(+.f32 (/.f32 (.f32 (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 (.f32 x (.f32 x x)) (.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)))))) (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))) (neg.f32 x))) (neg.f32 (/.f32 (.f32 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))) (neg.f32 x)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (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)) #s(literal -1 binary32))
(fma.f32 x #s(literal 1 binary32) (.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)))))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(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 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 (.f32 x x)) x)
(fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) x)
(fma.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)) (.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)))))
(fma.f32 #s(literal 2 binary32) (.f32 x #s(literal 1/2 binary32)) (.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)))))
(fma.f32 (.f32 x #s(literal 2 binary32)) #s(literal 1/2 binary32) (.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)))))
(fma.f32 (.f32 (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 (.f32 x (.f32 x x)) (.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)))))) (/.f32 #s(literal 1 binary32) (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))) (neg.f32 x))) (neg.f32 (/.f32 (.f32 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))) (neg.f32 x)))))
(fma.f32 (.f32 x #s(literal 1/2 binary32)) #s(literal 2 binary32) (.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)))))
(fma.f32 (.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))) (.f32 x x) x)
(fma.f32 #s(literal 1 binary32) x (.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)))))
(fma.f32 (.f32 (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 x)
(fma.f32 (.f32 (.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) x x)
(fma.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x 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))))) #s(literal 1/27 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))) x)
(fma.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (fma.f32 (.f32 x 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))) #s(literal -1/9 binary32))) (/.f32 #s(literal 1 binary32) (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 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x 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))))) #s(literal 1/27 binary32)) (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))) x)
(fma.f32 (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (fma.f32 (.f32 x 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))) #s(literal -1/9 binary32)) (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (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 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) (.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)))))
(-.f32 (/.f32 (.f32 (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 (.f32 x (.f32 x x)) (.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)))))) (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))) (neg.f32 x))) (/.f32 (.f32 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))) (neg.f32 x))))
(-.f32 (/.f32 (.f32 x x) (-.f32 x (.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)))))) (/.f32 (.f32 (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 (.f32 x (.f32 x x)) (.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)))))) (-.f32 x (.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)))))))
(/.f32 (fma.f32 (.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)))) (.f32 (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 (.f32 x (.f32 x x)) (.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)))))) (.f32 x (.f32 x x))) (fma.f32 x (-.f32 x (.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))))) (.f32 (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 (.f32 x (.f32 x x)) (.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))))))))
(/.f32 (fma.f32 (.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)))) (.f32 (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 (.f32 x (.f32 x x)) (.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)))))) (.f32 x (.f32 x x))) (fma.f32 x x (fma.f32 (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 (.f32 x (.f32 x x)) (.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))))) (neg.f32 (.f32 (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 (.f32 x x) (.f32 x x)))))))
(/.f32 (.f32 (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) (.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))) (neg.f32 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))) (neg.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x (fma.f32 (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 (.f32 x (.f32 x x)) (.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))))) (neg.f32 (.f32 (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 (.f32 x x) (.f32 x x)))))) (fma.f32 (.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)))) (.f32 (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 (.f32 x (.f32 x x)) (.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)))))) (.f32 x (.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (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)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (.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))))) (-.f32 (.f32 x x) (.f32 (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 (.f32 x (.f32 x x)) (.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)))))))))
(/.f32 (neg.f32 (fma.f32 (.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)))) (.f32 (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 (.f32 x (.f32 x x)) (.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)))))) (.f32 x (.f32 x x)))) (neg.f32 (fma.f32 x (-.f32 x (.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))))) (.f32 (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 (.f32 x (.f32 x x)) (.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)))))))))
(/.f32 (neg.f32 (fma.f32 (.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)))) (.f32 (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 (.f32 x (.f32 x x)) (.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)))))) (.f32 x (.f32 x x)))) (neg.f32 (fma.f32 x x (fma.f32 (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 (.f32 x (.f32 x x)) (.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))))) (neg.f32 (.f32 (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 (.f32 x x) (.f32 x x))))))))
(/.f32 (neg.f32 (.f32 (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) (.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))) (neg.f32 x)))) (neg.f32 (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))) (neg.f32 x))))
(/.f32 (-.f32 (.f32 x x) (.f32 (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 (.f32 x (.f32 x x)) (.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))))))) (-.f32 x (.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))))))
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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 (neg.f32 (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x)))) (.f32 (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)) (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (-.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) (.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 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 x) (.f32 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 x) (.f32 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 (.f32 x x) (.f32 x (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))
(+.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) (neg.f32 (/.f32 #s(literal 1/9 binary32) (fma.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 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) (neg.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)))))
(fma.f32 (*.f32 x #s(literal 1/5 binary32)) x #s(literal 1/3 binary32))
(-.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 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 #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 (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 x) (.f32 (.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) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) (neg.f32 (.f32 (.f32 x x) #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 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 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 1/9 binary32) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) (neg.f32 (.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 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 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 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 x) (.f32 (.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) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) (neg.f32 (.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))) (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 (.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) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))) (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 (.f32 (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32))) (.f32 #s(literal 1/15625 binary32) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))))) #s(literal 1/19683 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal 1/15625 binary32) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x)))) (-.f32 #s(literal 1/729 binary32) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) #s(literal 1/3375 binary32)))) (fma.f32 (.f32 x x) (.f32 (.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 #s(literal 1/15625 binary32) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x)))) #s(literal -1/729 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)) (fma.f32 (.f32 x x) (.f32 (.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 #s(literal 1/15625 binary32) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x)))) #s(literal -1/729 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal 1/625 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 1/81 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1/225 binary32)))) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))))
(/.f32 (.f32 (fma.f32 #s(literal 1/625 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 x x) (.f32 x x))) #s(literal -1/81 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)) (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 (.f32 x x) (.f32 (.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 (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 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))))) (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 (.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 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))) (fma.f32 (.f32 x 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 (.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 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 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 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))) (fma.f32 (.f32 x 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 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)))) (.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 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 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 (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 x) (.f32 (.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) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) (neg.f32 (.f32 (*.f32 x x) #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)) (/.f32 #s(literal 1 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 (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 x) (.f32 (.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) (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 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)))) (/.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)

simplify375.0ms (5.2%)

Memory

-26.6MiB live, 529.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 896×	`lower-fma.f64`
10 896×	`lower-fma.f32`
3 342×	`lower-*.f64`
3 342×	`lower-*.f32`
2 126×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1116
1	287	1068
2	771	1063
3	2209	1060
4	5673	1060
0	8301	980

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 164

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

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

eval83.0ms (1.2%)

Memory: 3.8MiB live, 166.3MiB allocated
Compiler: Compiled 22 301 to 1 634 computations (92.7% saved)

prune146.0ms (2%)

Memory

0.4MiB live, 195.5MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	734	1	735
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	735	8	743

Accuracy

100.0%

Counts

743 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(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)
✓	99.4%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
✓	98.7%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
▶	99.3%	(.f32 #s(literal 1/2 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))))
✓	98.6%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	99.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))))
▶	96.2%	x

Compiler

Compiled 94 to 61 computations (35.1% saved)

simplify462.0ms (6.4%)

Memory

12.8MiB live, 573.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 x x)
✓	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	160	(.f32 #s(literal 1/2 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))))
✓	cost-diff	0	(neg.f32 x)
✓	cost-diff	0	(log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))))
✓	cost-diff	64	(*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))

Rules

11 568×	`lower-fma.f64`
11 564×	`lower-fma.f32`
5 628×	`lower-*.f64`
5 616×	`lower-*.f32`
1 586×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	99
0	34	99
1	70	99
2	180	96
3	412	95
4	737	94
5	1584	94
6	2379	94
7	2942	94
8	4546	94
9	5832	94
10	6699	94
11	7779	94
0	8043	92

Stop Event

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

Calls

Call 1

Inputs
x
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))
(*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))
(neg.f32 x)
x
(/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))
#s(literal 2 binary32)
(+.f32 x #s(literal -1 binary32))
#s(literal -1 binary32)
(.f32 #s(literal 1/2 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))))
#s(literal 1/2 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
x
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))
(log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))
(/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))
(neg.f32 x)
x
(/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))
#s(literal 2 binary32)
(+.f32 x #s(literal -1 binary32))
#s(literal -1 binary32)
(.f32 #s(literal 1/2 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 (.f32 x x)) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) x)
#s(literal 1/2 binary32)
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(.f32 x (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) #s(literal 2 binary32)))
x
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) #s(literal 2 binary32))
(*.f32 x x)
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(*.f32 x #s(literal 2/5 binary32))
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
#s(literal 2 binary32)

localize63.0ms (0.9%)

Memory

19.7MiB live, 133.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f32 #s(literal 1/2 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))))
✓	accuracy	99.9%	(.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	99.8%	(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
✓	accuracy	99.4%	(*.f32 x #s(literal 2/5 binary32))
✓	accuracy	100.0%	(neg.f32 x)
✓	accuracy	99.9%	(log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))
✓	accuracy	99.8%	(*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))
✓	accuracy	99.8%	(/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))

Samples

41.0ms

256×

valid

Compiler

Compiled 112 to 22 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 13.0ms (40.9% of total)

const: 6.0ms (18.9% of total)

ival-add: 4.0ms (12.6% of total)

ival-neg: 4.0ms (12.6% of total)

ival-div: 2.0ms (6.3% of total)

ival-log1p: 2.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

-22.6MiB live, 20.5MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#s(alt (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) (patch (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))) (patch (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))) #<representation binary32>) () ())
#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 1/2 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)))) (patch (.f32 #s(literal 1/2 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)))) #<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 x) (patch (.f32 x x) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (patch (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 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 (* 2 x) (taylor 0 x) (#s(alt (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) (patch (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) (patch (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) (patch (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) (patch (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt -2 (taylor inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) (patch (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) (patch (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) (patch (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) (patch (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt -2 (taylor -inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) (patch (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) (patch (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor -inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) (patch (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) (taylor -inf x) (#s(alt (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) (patch (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) #<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 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) #<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 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) #<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 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) #<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 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) #<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 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) #<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 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) #<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 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))) (patch (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))) (patch (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
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#s(alt (* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) (taylor -inf x) (#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 (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) (taylor -inf x) (#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 (pow x 2) (taylor 0 x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (patch (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* -2 x) 2) (taylor 0 x) (#s(alt (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (patch (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* x (- (* -2 x) 2)) 2) (taylor 0 x) (#s(alt (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (patch (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 2) (taylor 0 x) (#s(alt (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (patch (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ 2 x) (taylor inf x) (#s(alt (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (patch (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (patch (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x) (taylor inf x) (#s(alt (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (patch (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x) (taylor inf x) (#s(alt (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (patch (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (patch (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 x))) x) (taylor -inf x) (#s(alt (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (patch (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (patch (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x)) (taylor -inf x) (#s(alt (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (patch (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 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

33 calls:

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

rewrite354.0ms (4.9%)

Memory

12.7MiB live, 492.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 304×	`lower-fma.f64`
7 300×	`lower-fma.f32`
4 906×	`lower-*.f64`
4 894×	`lower-*.f32`
3 314×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	86
0	34	86
1	131	86
2	923	82
0	8470	81

Stop Event

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

Counts

11 → 453

Calls

Call 1

Inputs
(*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))))
(log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))
(neg.f32 x)
(.f32 #s(literal 1/2 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 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 x)
(/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))
(*.f32 x #s(literal 2/5 binary32))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))

Outputs
(neg.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))
(+.f32 #s(literal 0 binary32) (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))
(+.f32 (.f32 (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) #s(literal 0 binary32)) (/.f32 x (.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))
(+.f32 (.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (.f32 x x) #s(literal -1 binary32))) (.f32 x x)) (.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) x)))
(+.f32 (.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (.f32 x x) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) x)) (.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (.f32 x x) #s(literal -1 binary32))) (*.f32 x x)))
(+.f32 (.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) x) (.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))) (/.f32 x (.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))
(+.f32 (.f32 (.f32 x x) (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (.f32 x x) #s(literal -1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (*.f32 x x) #s(literal -1 binary32)))))
(+.f32 (.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (.f32 x x) #s(literal -1 binary32)))) (.f32 (.f32 x x) (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (*.f32 x x) #s(literal -1 binary32)))))
(+.f32 (.f32 x (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))))
(pow.f32 (/.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x #s(literal -2 binary32))) #s(literal -1 binary32))
(fma.f32 x (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) (.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) #s(literal 0 binary32) (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))
(fma.f32 (.f32 x x) (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (.f32 x x) #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (.f32 x x) #s(literal -1 binary32)))))
(fma.f32 #s(literal 0 binary32) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))) (/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))
(fma.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (.f32 x x) #s(literal -1 binary32))) (.f32 (.f32 x x) (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (.f32 x x) #s(literal -1 binary32)))))
(fma.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (.f32 x x) #s(literal -1 binary32))) (.f32 x x) (.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (.f32 x x) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) x)))
(fma.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (.f32 x x) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) x) (.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x (.f32 x x) #s(literal -1 binary32))) (.f32 x x)))
(fma.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) x (.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))
(/.f32 x (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 x) (*.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (neg.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 (/.f32 (.f32 #s(literal 8 binary32) (.f32 x (.f32 x x))) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 0 binary32) (fma.f32 (.f32 x x) (/.f32 #s(literal 4 binary32) (.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))) (.f32 #s(literal 0 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))
(/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 x #s(literal -2 binary32)) (+.f32 x #s(literal -1 binary32)))
(/.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 0 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 (.f32 x (.f32 x x)))) (.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (fma.f32 x x #s(literal 0 binary32))))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 (.f32 x x))) (.f32 (.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) x))
(/.f32 (.f32 (neg.f32 (.f32 x (.f32 x x))) #s(literal 2 binary32)) (.f32 (fma.f32 x x #s(literal 0 binary32)) (+.f32 x #s(literal -1 binary32))))
(/.f32 (.f32 (neg.f32 (.f32 x (.f32 x x))) #s(literal -1 binary32)) (.f32 (fma.f32 x x #s(literal 0 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))
(/.f32 (.f32 (neg.f32 (.f32 x (.f32 x x))) #s(literal 1 binary32)) (.f32 (fma.f32 x x #s(literal 0 binary32)) (*.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(/.f32 (.f32 (neg.f32 (.f32 x (.f32 x x))) #s(literal -2 binary32)) (.f32 (fma.f32 x x #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 (neg.f32 (.f32 x x)) #s(literal 2 binary32)) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(/.f32 (.f32 (neg.f32 (.f32 x x)) #s(literal -1 binary32)) (.f32 x (.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))
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(/.f32 (neg.f32 (neg.f32 (fma.f32 x (.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) x) #s(literal -4/9 binary32)))) (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 x (.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) x)))) (neg.f32 (+.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) #s(literal -2/5 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 x (.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) x)) (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 x (.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) x)) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 (.f32 x (.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) x)) (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 x (.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) x)) (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 x (.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) x)) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 (.f32 x (.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) x)) (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 x (.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) x)) (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) (+.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) #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) (.f32 (.f32 x x) (-.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) #s(literal 4/15 binary32))))))
(.f32 (fma.f32 x (.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) x) #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 (+.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) #s(literal 4/9 binary32)) (.f32 (*.f32 x x) #s(literal -4/15 binary32))))))
(.f32 (neg.f32 (fma.f32 x (.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) x) #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 (-.f32 #s(literal 4/9 binary32) (.f32 x (.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2/3 binary32) (.f32 (*.f32 x x) #s(literal -2/5 binary32)))))

simplify360.0ms (5%)

Memory

9.6MiB live, 482.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 434×	`lower-fma.f64`
13 434×	`lower-fma.f32`
4 016×	`lower-*.f64`
4 016×	`lower-*.f32`
2 304×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	1058
1	482	1034
2	1221	1026
3	3327	1006
4	6717	1006
0	8232	945

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 130

Calls

Call 1

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

eval93.0ms (1.3%)

Memory: 10.3MiB live, 121.1MiB allocated
Compiler: Compiled 15 567 to 1 947 computations (87.5% saved)

prune107.0ms (1.5%)

Memory

-3.3MiB live, 195.7MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	582	1	583
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	583	8	591

Accuracy

100.0%

Counts

591 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(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)
✓	99.4%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
✓	98.7%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
✓	99.3%	(.f32 #s(literal 1/2 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))))
✓	98.6%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	99.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
✓	96.2%	x

Compiler

Compiled 93 to 60 computations (35.5% saved)

simplify13.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
✓	cost-diff	(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
✓	cost-diff	(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x))
✓	cost-diff	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) 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	37
0	15	37
1	24	37
2	32	37
3	38	37
4	45	37
5	59	37
6	97	37
7	164	37
8	222	37
9	250	37
10	263	37
11	273	37
12	273	37
0	273	37

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

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

localize180.0ms (2.5%)

Memory

-18.0MiB live, 56.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
✓	accuracy	99.9%	(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x))
✓	accuracy	99.8%	(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
✓	accuracy	99.8%	(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))

Samples

168.0ms

256×

valid

Compiler

Compiled 43 to 11 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 136.0ms (83.8% of total)

ival-div: 22.0ms (13.6% of total)

ival-log1p: 2.0ms (1.2% of total)

ival-sub: 1.0ms (0.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

4 → 48

Calls

Call 1

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

Calls

12 calls:

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

rewrite582.0ms (8.1%)

Memory

-135.1MiB live, 479.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 492×	`lower-fma.f64`
4 492×	`lower-fma.f32`
3 922×	`lower-*.f64`
3 918×	`lower-*.f32`
2 906×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
0	15	30
1	55	30
2	364	30
3	4474	30
0	9621	30

Stop Event

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

Counts

4 → 228

Calls

Call 1

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

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

simplify500.0ms (7%)

Memory

-11.3MiB live, 585.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 690×	`lower-fma.f64`
12 690×	`lower-fma.f32`
2 958×	`lower-*.f64`
2 958×	`lower-*.f32`
2 872×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	478
1	333	450
2	855	444
3	2322	442
4	4727	442
5	7375	442
0	8022	415

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

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

eval29.0ms (0.4%)

Memory: 3.2MiB live, 78.6MiB allocated
Compiler: Compiled 6 890 to 1 150 computations (83.3% saved)

prune49.0ms (0.7%)

Memory

15.5MiB live, 132.3MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	275	0	275
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	275	8	283

Accuracy

100.0%

Counts

283 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(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)
✓	99.4%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
✓	98.7%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
✓	99.3%	(.f32 #s(literal 1/2 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))))
✓	98.6%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	99.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
✓	96.2%	x

Compiler

Compiled 195 to 105 computations (46.2% saved)

regimes15.0ms (0.2%)

Memory

2.2MiB live, 41.2MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
x
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(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) (.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 (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) (-.f32 #s(literal 1 binary32) x)) 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 1/2 binary32) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))))

Outputs
(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:

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

regimes13.0ms (0.2%)

Memory

-10.3MiB live, 31.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)

Calls

4 calls:

5.0ms	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	(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))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.4%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.4%	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

25.2MiB live, 25.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))

Outputs
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)

Calls

4 calls:

2.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms	(/.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
98.7%	1	`x`
98.7%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.7%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.7%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes7.0ms (0.1%)

Memory

-21.9MiB live, 15.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))

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

Results

Accuracy	Segments	Branch
96.2%	1	`x`
96.2%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
96.2%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
96.2%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	15	40

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
x

Outputs
(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) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
x

soundness526.0ms (7.3%)

Memory

-20.4MiB live, 347.9MiB allocated

Rules

12 938×	`lower-fma.f64`
12 938×	`lower-fma.f32`
7 600×	`lower-fma.f64`
7 586×	`lower-fma.f32`
5 102×	`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
0	22	108
0	44	100
1	175	98
2	1247	95
0	8223	94

Stop Event

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

Compiler

Compiled 73 to 32 computations (56.2% saved)

preprocess27.0ms (0.4%)

Memory: 34.0MiB live, 73.0MiB allocated
Compiler: Compiled 104 to 44 computations (57.7% 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	9	37
0	15	37
1	24	37
2	32	37
3	38	37
4	45	37
5	59	37
6	97	37
7	164	37
8	222	37
9	250	37
10	263	37
11	273	37
12	273	37
0	273	37

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	9	37
0	15	37
1	24	37
2	32	37
3	38	37
4	45	37
5	59	37
6	97	37
7	164	37
8	222	37
9	250	37
10	263	37
11	273	37
12	273	37
0	273	37

analyze1.0ms (0%)

sample338.0ms (4.7%)

preprocess25.0ms (0.3%)

explain92.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.2%)

localize27.0ms (0.4%)

series20.0ms (0.3%)

rewrite261.0ms (3.6%)

simplify493.0ms (6.9%)

eval88.0ms (1.2%)

prune93.0ms (1.3%)

simplify1.1s (15.6%)

localize157.0ms (2.2%)

series48.0ms (0.7%)

rewrite387.0ms (5.4%)

simplify375.0ms (5.2%)

eval83.0ms (1.2%)

prune146.0ms (2%)

simplify462.0ms (6.4%)

localize63.0ms (0.9%)

series10.0ms (0.1%)

rewrite354.0ms (4.9%)

simplify360.0ms (5%)

eval93.0ms (1.3%)

prune107.0ms (1.5%)

simplify13.0ms (0.2%)

localize180.0ms (2.5%)

series2.0ms (0%)

rewrite582.0ms (8.1%)

simplify500.0ms (7%)

eval29.0ms (0.4%)

prune49.0ms (0.7%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

simplify6.0ms (0.1%)

soundness526.0ms (7.3%)

preprocess27.0ms (0.4%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	9	37
0	15	37
1	24	37
2	32	37
3	38	37
4	45	37
5	59	37
6	97	37
7	164	37
8	222	37
9	250	37
10	263	37
11	273	37
12	273	37
0	273	37