Metrics for Rust f32::atanh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 4 to 4 computations (0% saved)

sample664.0ms (8.9%)

Memory

29.3MiB live, 338.8MiB allocated

Samples

406.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-atanh: 89.0ms (92.3% of total)

ival-true: 5.0ms (5.2% of total)

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

Bogosity

explain262.0ms (3.5%)

Memory

-3.2MiB live, 159.3MiB 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

61.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

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

ival-mult: 6.0ms (34.9% of total)

ival-log1p: 4.0ms (23.2% of total)

ival-sub: 3.0ms (17.4% of total)

ival-div: 3.0ms (17.4% of total)

exact: 1.0ms (5.8% of total)

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

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

preprocess40.0ms (0.5%)

Memory

-11.9MiB live, 26.9MiB 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))))

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify10.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (0.6%)

Memory

-33.2MiB live, 22.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f32 #s(literal 2 binary32) x)
accuracy	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
accuracy	0.0234375	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
accuracy	0.046875	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Samples

36.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 25.0ms (82.7% of total)

ival-div: 2.0ms (6.6% of total)

ival-log1p: 2.0ms (6.6% of total)

ival-sub: 1.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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 (* 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 (* 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 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 (* 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 (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 -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 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 (* 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 (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 (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 -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

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify192.0ms (2.6%)

Memory

25.1MiB live, 183.5MiB 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	799	382
3	2150	380
4	4030	380
5	6476	380
0	8265	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))))))))
(* 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))))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
-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 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
-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)

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

rewrite319.0ms (4.3%)

Memory

-15.8MiB live, 216.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 162

Calls

Call 1

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

Outputs
(.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))
(.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal -8 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 2 binary32))) (log.f32 (.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) x) (.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32)))) #s(literal 8 binary32) #s(literal 1 binary32)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal -8 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal -8 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal -8 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))))) (log1p.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))))))))
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(+.f32 (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (.f32 x x) x #s(literal 1 binary32)))) (fma.f32 x x x)) (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (.f32 x x) x #s(literal 1 binary32)))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (.f32 x x) x #s(literal 1 binary32)))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (fma.f32 (.f32 x x) x #s(literal 1 binary32)))) (fma.f32 x x x)))
(exp.f32 (.f32 (.f32 (log.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #s(literal 1 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1/2 binary32))) #s(literal -1 binary32)))
(neg.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal -2 binary32) (neg.f32 x))
(.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 (.f32 x #s(literal 2 binary32)) #s(literal 1 binary32))
(*.f32 x #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) x)
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) x))
(neg.f32 (*.f32 #s(literal -2 binary32) x))

eval20.0ms (0.3%)

Memory: 15.6MiB live, 54.0MiB allocated
Compiler: Compiled 5 051 to 802 computations (84.1% saved)

prune10.0ms (0.1%)

Memory

-13.9MiB live, 29.9MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	201	8	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	201	9	210

Accuracy

100.0%

Counts

210 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.8%	(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))))
▶	99.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
	22.0%	(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))
▶	97.1%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
	99.2%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
▶	99.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
	98.6%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))

Compiler

Compiled 357 to 179 computations (49.9% saved)

simplify147.0ms (2%)

Memory

-5.3MiB live, 193.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	64	(+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))
cost-diff	64	(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
cost-diff	64	(*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x))
cost-diff	3232	(+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
cost-diff	0	(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
cost-diff	0	(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
cost-diff	64	(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
cost-diff	0	(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
cost-diff	0	(fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
cost-diff	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
cost-diff	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
cost-diff	64	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
cost-diff	0	(log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
cost-diff	416	(/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))

Rules

6 220×	`lower-fma.f64`
6 214×	`lower-fma.f32`
2 894×	`lower-*.f64`
2 870×	`lower-*.f32`
1 512×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	620
0	92	635
1	169	627
2	306	627
3	580	625
4	1283	619
5	2625	619
6	6472	589
0	8167	568

Stop Event

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

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))
(/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
#s(literal 2 binary32)
(fma.f32 x x x)
x
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
#s(literal 1/5 binary32)
(*.f32 x x)
x
#s(literal 1/3 binary32)
#s(literal 1 binary32)
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
#s(literal -2 binary32)
(-.f32 x #s(literal 1 binary32))
x
#s(literal 1 binary32)
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))))
#s(literal 1/2 binary32)
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))))
(-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)))
(pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))
(log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x))))
(/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))
(.f32 #s(literal 4 binary32) (.f32 x x))
#s(literal 4 binary32)
(*.f32 x x)
x
(*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) x)
#s(literal 3 binary32)
(pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
#s(literal -2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))
(pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32))
#s(literal 2 binary32)
(+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32))
(.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(*.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))
(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
(*.f32 (fma.f32 x x x) #s(literal 2 binary32))
#s(literal 2 binary32)
(fma.f32 x x x)
x
(-.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
(.f32 #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (+.f32 x x)) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x))
(*.f32 #s(literal 2 binary32) x)
(+.f32 x x)
#s(literal 2 binary32)
x
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
#s(literal 1/5 binary32)
(*.f32 x x)
x
#s(literal 1/3 binary32)
#s(literal 1 binary32)
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
(*.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
#s(literal -2 binary32)
(-.f32 x #s(literal 1 binary32))
x
#s(literal 1 binary32)
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))))
(.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 (+.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))) (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))) (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32)))) #s(literal 2 binary32)))) (-.f32 (pow.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (*.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32)))) #s(literal 3 binary32))))
#s(literal 1/2 binary32)
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (+.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))) (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))) (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32)))) #s(literal 2 binary32))))
(-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)))
(-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))) #s(literal 3 binary32)))
(pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))
(pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32)))) #s(literal 3 binary32))
(log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32))))
(/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32)))
(.f32 #s(literal 4 binary32) (.f32 x x))
#s(literal 4 binary32)
(*.f32 x x)
x
(*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x))
(fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32))
(-.f32 x #s(literal 1 binary32))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) x)
#s(literal 3 binary32)
(pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))
(pow.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))) #s(literal 3 binary32))
(log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32))))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))
#s(literal -2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))
(fma.f32 (+.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))) (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))) (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32)))) #s(literal 2 binary32)))
(pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32))
(pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32)))) #s(literal 2 binary32))
#s(literal 2 binary32)
(+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(.f32 (+.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))) (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (*.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))))
(pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32))
(pow.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))) #s(literal 2 binary32))
(.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
(.f32 (log1p.f32 (/.f32 (+.f32 x x) (-.f32 x #s(literal 1 binary32)))) (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (*.f32 x x)) (fma.f32 (-.f32 #s(literal 2 binary32) x) x #s(literal -1 binary32)))))

localize140.0ms (1.9%)

Memory

30.1MiB live, 308.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1306038574528622	(.f32 #s(literal 4 binary32) (.f32 x x))
accuracy	0.13119125976844204	(pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32))
accuracy	0.14748002930532603	(pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))
accuracy	17.967192193932174	(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))))
accuracy	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
accuracy	0.0234375	(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
accuracy	0.0625	(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
accuracy	0.0703125	(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
accuracy	0	(*.f32 x x)
accuracy	0.01171875	(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
accuracy	0.02734375	(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
accuracy	0.1841091590115748	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
accuracy	0	(*.f32 #s(literal 2 binary32) x)
accuracy	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
accuracy	0.7789647518579773	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
accuracy	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
accuracy	0.00390625	(-.f32 #s(literal 1 binary32) (*.f32 x x))
accuracy	0.0234375	(log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))
accuracy	0.03125	(/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))

Samples

104.0ms	254×	0	valid
1.0ms	2×	0	invalid

Compiler

Compiled 676 to 50 computations (92.6% saved)

Precisions

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

ival-mult: 32.0ms (37.5% of total)

ival-div: 12.0ms (14% of total)

ival-log1p: 12.0ms (14% of total)

ival-pow: 9.0ms (10.5% of total)

const: 6.0ms (7% of total)

ival-add: 5.0ms (5.9% of total)

ival-sub: 4.0ms (4.7% of total)

ival-pow2: 4.0ms (4.7% of total)

exact: 1.0ms (1.2% of total)

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

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

series44.0ms (0.6%)

Memory

-8.6MiB live, 108.6MiB allocated

Counts

25 → 300

Calls

Call 1

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

Outputs
#s(alt (* 2 x) (taylor 0 x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (patch (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (patch (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (patch (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 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) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (patch (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 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) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 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) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 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) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 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) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 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) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 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) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (patch (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (patch (.f32 #s(literal 2 binary32) (fma.f32 x x x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (patch (.f32 #s(literal 2 binary32) (fma.f32 x x x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (patch (.f32 #s(literal 2 binary32) (fma.f32 x x x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (patch (.f32 #s(literal 2 binary32) (fma.f32 x x 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 x (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 #s(literal 2 binary32) x))) (patch (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 #s(literal 2 binary32) x))) (patch (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 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) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 #s(literal 2 binary32) x))) (patch (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 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) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (.f32 #s(literal 2 binary32) x))) (patch (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 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 #s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 #s(literal 2 binary32) x)) (patch #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x) (patch (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x) (patch (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x) (patch (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x) (patch (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (patch (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (patch (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (patch (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1/3 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (patch (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (patch (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) (patch (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x) (patch (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x) (patch (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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) (-.f32 x #s(literal 1 binary32))) x))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))) #<representation binary32>) () ())) ())
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#s(alt (+ (* 16/3 (/ (log -3) x)) (pow (log -3) 2)) (taylor -inf x) (#s(alt (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -16/3 (log -3)) (* -1 (/ (+ 64/9 (+ (* -1 (/ (- (* -160/81 (log -3)) 64/27) x)) (* 8/9 (log -3)))) x))) x)) (pow (log -3) 2)) (taylor -inf x) (#s(alt (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (patch (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (.f32 #s(literal 4 binary32) (.f32 x x)) (patch (.f32 #s(literal 4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (.f32 #s(literal 4 binary32) (.f32 x x)) (patch (.f32 #s(literal 4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (.f32 #s(literal 4 binary32) (.f32 x x)) (patch (.f32 #s(literal 4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (.f32 #s(literal 4 binary32) (.f32 x x)) (patch (.f32 #s(literal 4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

inf

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

8.0ms

-inf

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

5.0ms

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

simplify278.0ms (3.7%)

Memory

-9.9MiB live, 351.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 338×	`lower-fma.f64`
10 338×	`lower-fma.f32`
7 528×	`lower-+.f64`
7 528×	`lower-+.f32`
3 900×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	731	7750
1	2267	6695
2	7614	6695
0	8076	6185

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 295

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 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))))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* 2 x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 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))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 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))))))))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 24 x)))
(* (pow x 2) (+ 4 (* x (+ 24 (* 248/3 x)))))
(* (pow x 2) (+ 4 (* x (+ 24 (* x (+ 248/3 (* 256 x)))))))
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* -1 x))) 1)
(- (* x (+ 2 (* -1 x))) 1)
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* -2 x) 2)) 2))
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 24 x)))
(* (pow x 2) (+ 4 (* x (+ 24 (* 296/3 x)))))
(* (pow x 2) (+ 4 (* x (+ 24 (* x (+ 296/3 (* 320 x)))))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
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(pow (log 3) 3)
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(pow (log -3) 2)
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(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
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(* 1/2 (log -1))
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(log -1)
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(* 2 (pow x 2))
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(* 2 x)
(* 2 x)
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(log -1)
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(* 1/5 (pow x 5))
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(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 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)))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(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)
(* -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))
(+ (* (log -3) (log 3)) (pow (log 3) 2))
(+ (* -1 (/ (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (* -2/3 (log -3)))) x)) (+ (* (log -3) (log 3)) (pow (log 3) 2)))
(+ (* -1 (/ (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (+ (* -1 (/ (+ 20/9 (+ (* 4/9 (log -3)) (+ (* 4/9 (log 3)) (* 8/9 (log 3))))) x)) (* -2/3 (log -3))))) x)) (+ (* (log -3) (log 3)) (pow (log 3) 2)))
(+ (* -1 (/ (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (+ (* -1 (/ (+ 20/9 (+ (* -1 (/ (- (+ (* -80/81 (log 3)) (+ (* -52/81 (log 3)) (* -26/81 (log -3)))) 56/27) x)) (+ (* 4/9 (log -3)) (+ (* 4/9 (log 3)) (* 8/9 (log 3)))))) x)) (* -2/3 (log -3))))) x)) (+ (* (log -3) (log 3)) (pow (log 3) 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))
(+ (* -1 (/ (+ (* -16/3 (log -3)) (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (* -2/3 (log -3))))) x)) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))
(+ (* -1 (/ (+ (* -16/3 (log -3)) (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (+ (* -1 (/ (+ 28/3 (+ (* 4/9 (log -3)) (+ (* 4/9 (log 3)) (+ (* 8/9 (log -3)) (* 8/9 (log 3)))))) x)) (* -2/3 (log -3)))))) x)) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))
(+ (* -1 (/ (+ (* -16/3 (log -3)) (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (+ (* -1 (/ (+ 28/3 (+ (* -1 (/ (- (+ (* -160/81 (log -3)) (+ (* -80/81 (log 3)) (+ (* -52/81 (log 3)) (* -26/81 (log -3))))) 40/9) x)) (+ (* 4/9 (log -3)) (+ (* 4/9 (log 3)) (+ (* 8/9 (log -3)) (* 8/9 (log 3))))))) x)) (* -2/3 (log -3)))))) x)) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (- (pow (log -3) 3) (pow (log 3) 3)) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))
(- (+ (* -1 (/ (- (+ (* -16/3 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (* -8/3 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))))) (+ (* -4/3 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* -2/3 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (/ (* (+ (* -16/3 (log -3)) (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (* -2/3 (log -3))))) (- (pow (log -3) 3) (pow (log 3) 3))) (pow (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))) 2))))) x)) (/ (pow (log -3) 3) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (/ (pow (log 3) 3) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))))
(- (+ (* -1 (/ (- (+ (* -16/3 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* -8/3 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (* -1 (/ (- (+ (* 4/9 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* 128/9 (/ (log -3) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (/ (* (log -3) (+ 64/9 (* 8/9 (log -3)))) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))))) (+ (* 4/9 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* 8/9 (/ (log 3) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (/ (* (log 3) (+ 4/9 (* 8/9 (log 3)))) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))) (+ (/ (* (+ 28/3 (+ (* 4/9 (log -3)) (+ (* 4/9 (log 3)) (+ (* 8/9 (log -3)) (* 8/9 (log 3)))))) (- (pow (log -3) 3) (pow (log 3) 3))) (pow (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))) 2)) (/ (* (+ (* -16/3 (log -3)) (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (* -2/3 (log -3))))) (- (+ (* -16/3 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (* -8/3 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))))) (+ (* -4/3 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* -2/3 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (/ (* (+ (* -16/3 (log -3)) (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (* -2/3 (log -3))))) (- (pow (log -3) 3) (pow (log 3) 3))) (pow (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))) 2)))))) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))))))) x)))) (+ (* -4/3 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* -2/3 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (/ (* (+ (* -16/3 (log -3)) (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (* -2/3 (log -3))))) (- (pow (log -3) 3) (pow (log 3) 3))) (pow (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))) 2))))) x)) (/ (pow (log -3) 3) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (/ (pow (log 3) 3) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))))
(- (+ (* -1 (/ (- (+ (* -16/3 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* -8/3 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -8/3 (/ (+ 64/9 (* 8/9 (log -3))) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* -64/27 (/ (log -3) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* -80/81 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (/ (* (log -3) (- (* -160/81 (log -3)) 64/27)) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))))) (+ (* -2/3 (/ (+ 4/9 (* 8/9 (log 3))) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* -16/27 (/ (log 3) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* -26/81 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (/ (* (log 3) (- (* -52/81 (log 3)) 16/27)) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))) (+ (/ (* (+ 28/3 (+ (* 4/9 (log -3)) (+ (* 4/9 (log 3)) (+ (* 8/9 (log -3)) (* 8/9 (log 3)))))) (- (+ (* -16/3 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (* -8/3 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))))) (+ (* -4/3 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* -2/3 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (/ (* (+ (* -16/3 (log -3)) (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (* -2/3 (log -3))))) (- (pow (log -3) 3) (pow (log 3) 3))) (pow (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))) 2)))))) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))) (+ (/ (* (+ (* -16/3 (log -3)) (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (* -2/3 (log -3))))) (- (+ (* 4/9 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* 128/9 (/ (log -3) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (/ (* (log -3) (+ 64/9 (* 8/9 (log -3)))) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))))) (+ (* 4/9 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* 8/9 (/ (log 3) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (/ (* (log 3) (+ 4/9 (* 8/9 (log 3)))) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))) (+ (/ (* (+ 28/3 (+ (* 4/9 (log -3)) (+ (* 4/9 (log 3)) (+ (* 8/9 (log -3)) (* 8/9 (log 3)))))) (- (pow (log -3) 3) (pow (log 3) 3))) (pow (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))) 2)) (/ (* (+ (* -16/3 (log -3)) (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (* -2/3 (log -3))))) (- (+ (* -16/3 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (* -8/3 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))))) (+ (* -4/3 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 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(* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* 8/9 (/ (log 3) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (/ (* (log 3) (+ 4/9 (* 8/9 (log 3)))) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))) (+ (/ (* (+ 28/3 (+ (* 4/9 (log -3)) (+ (* 4/9 (log 3)) (+ (* 8/9 (log -3)) (* 8/9 (log 3)))))) (- (pow (log -3) 3) (pow (log 3) 3))) (pow (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))) 2)) (/ (* (+ (* -16/3 (log -3)) (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (* -2/3 (log -3))))) (- (+ (* -16/3 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (* -8/3 (/ (pow (log -3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))))) (+ (* -4/3 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* -2/3 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (/ (* (+ (* -16/3 (log -3)) (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (* -2/3 (log -3))))) (- (pow (log -3) 3) (pow (log 3) 3))) (pow (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))) 2)))))) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))))))) x)))) (+ (* -4/3 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (+ (* -2/3 (/ (pow (log 3) 2) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (/ (* (+ (* -16/3 (log -3)) (+ (* -8/3 (log 3)) (+ (* -4/3 (log 3)) (* -2/3 (log -3))))) (- (pow (log -3) 3) (pow (log 3) 3))) (pow (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))) 2))))) x)) (/ (pow (log -3) 3) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2))))) (/ (pow (log 3) 3) (+ (* (log -3) (log 3)) (+ (pow (log -3) 2) (pow (log 3) 2)))))
(pow (log 3) 3)
(+ (* -1 (/ (+ (* -4/3 (pow (log 3) 2)) (* -2/3 (pow (log 3) 2))) x)) (pow (log 3) 3))
(+ (* -1 (/ (+ (* -4/3 (pow (log 3) 2)) (+ (* -1 (/ (+ (* 4/9 (pow (log 3) 2)) (+ (* 8/9 (log 3)) (* (log 3) (+ 4/9 (* 8/9 (log 3)))))) x)) (* -2/3 (pow (log 3) 2)))) x)) (pow (log 3) 3))
(+ (* -1 (/ (+ (* -4/3 (pow (log 3) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (+ 4/9 (* 8/9 (log 3)))) (+ (* -16/27 (log 3)) (+ (* -26/81 (pow (log 3) 2)) (* (log 3) (- (* -52/81 (log 3)) 16/27))))) x)) (+ (* 4/9 (pow (log 3) 2)) (+ (* 8/9 (log 3)) (* (log 3) (+ 4/9 (* 8/9 (log 3))))))) x)) (* -2/3 (pow (log 3) 2)))) x)) (pow (log 3) 3))
(pow (log -3) 2)
(+ (* 16/3 (/ (log -3) x)) (pow (log -3) 2))
(+ (* -1 (/ (+ (* -16/3 (log -3)) (* -1 (/ (+ 64/9 (* 8/9 (log -3))) x))) x)) (pow (log -3) 2))
(+ (* -1 (/ (+ (* -16/3 (log -3)) (* -1 (/ (+ 64/9 (+ (* -1 (/ (- (* -160/81 (log -3)) 64/27) x)) (* 8/9 (log -3)))) x))) x)) (pow (log -3) 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))

Outputs
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 (fma.f32 #s(literal 2/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x)
(* x (+ 2 (* 2 x)))
(*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 (fma.f32 #s(literal 2/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
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#s(literal -16/3 binary32) (log.f32 #s(literal -3 binary32)) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal -4 binary32) (.f32 #s(literal -2/3 binary32) (log.f32 #s(literal -3 binary32))))) (-.f32 (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 3 binary32)))) (pow.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))))) (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32)))) (fma.f32 #s(literal -16/3 binary32) (log.f32 #s(literal -3 binary32)) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal -4 binary32) (.f32 #s(literal -2/3 binary32) (log.f32 #s(literal -3 binary32))))) (fma.f32 (/.f32 (-.f32 (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 3 binary32))) (pow.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))) (+.f32 (fma.f32 #s(literal 4/9 binary32) (log.f32 #s(literal -3 binary32)) (fma.f32 #s(literal 8/9 binary32) (log.f32 #s(literal -3 binary32)) (.f32 #s(literal 4/3 binary32) (log.f32 #s(literal 3 binary32))))) #s(literal 28/3 binary32)) (.f32 (fma.f32 #s(literal 8/9 binary32) (log.f32 #s(literal 3 binary32)) #s(literal 4/9 binary32)) (/.f32 (log.f32 #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32)))))))))) (/.f32 (fma.f32 #s(literal -16/3 binary32) (log.f32 #s(literal -3 binary32)) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal -4 binary32) (.f32 #s(literal -2/3 binary32) (log.f32 #s(literal -3 binary32))))) (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32))))))))))) x)) (fma.f32 (/.f32 (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 2 binary32)) (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32)))) #s(literal 4/9 binary32) (fma.f32 (/.f32 (log.f32 #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32)))) #s(literal 8/9 binary32) (fma.f32 (/.f32 (-.f32 (.f32 (/.f32 (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32)) (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32)))) #s(literal -8 binary32)) (fma.f32 (/.f32 (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 2 binary32)) (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32)))) #s(literal -2 binary32) (/.f32 (.f32 (fma.f32 #s(literal -16/3 binary32) (log.f32 #s(literal -3 binary32)) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal -4 binary32) (.f32 #s(literal -2/3 binary32) (log.f32 #s(literal -3 binary32))))) (-.f32 (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 3 binary32)))) (pow.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))))) (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32)))) (fma.f32 #s(literal -16/3 binary32) (log.f32 #s(literal -3 binary32)) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal -4 binary32) (.f32 #s(literal -2/3 binary32) (log.f32 #s(literal -3 binary32))))) (fma.f32 (/.f32 (-.f32 (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 3 binary32))) (pow.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))) (+.f32 (fma.f32 #s(literal 4/9 binary32) (log.f32 #s(literal -3 binary32)) (fma.f32 #s(literal 8/9 binary32) (log.f32 #s(literal -3 binary32)) (.f32 #s(literal 4/3 binary32) (log.f32 #s(literal 3 binary32))))) #s(literal 28/3 binary32)) (.f32 (fma.f32 #s(literal 8/9 binary32) (log.f32 #s(literal 3 binary32)) #s(literal 4/9 binary32)) (/.f32 (log.f32 #s(literal 3 binary32)) (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32)))))))))) x)) (fma.f32 (/.f32 (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 2 binary32)) (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32)))) #s(literal -2 binary32) (/.f32 (.f32 (fma.f32 #s(literal -16/3 binary32) (log.f32 #s(literal -3 binary32)) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal -4 binary32) (*.f32 #s(literal -2/3 binary32) (log.f32 #s(literal -3 binary32))))) (-.f32 (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 3 binary32)))) (pow.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))))) (neg.f32 x)) (/.f32 (-.f32 (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (log.f32 #s(literal 3 binary32)) (log.f32 #s(literal -3 binary32))) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32)))))
(pow (log 3) 3)
(pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 3 binary32))
(+ (* -1 (/ (+ (* -4/3 (pow (log 3) 2)) (* -2/3 (pow (log 3) 2))) x)) (pow (log 3) 3))
(-.f32 (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 3 binary32)) (/.f32 (*.f32 (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32)) x))
(+ (* -1 (/ (+ (* -4/3 (pow (log 3) 2)) (+ (* -1 (/ (+ (* 4/9 (pow (log 3) 2)) (+ (* 8/9 (log 3)) (* (log 3) (+ 4/9 (* 8/9 (log 3)))))) x)) (* -2/3 (pow (log 3) 2)))) x)) (pow (log 3) 3))
(-.f32 (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 3 binary32)) (/.f32 (fma.f32 (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 4/9 binary32) (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (fma.f32 #s(literal 8/9 binary32) (log.f32 #s(literal 3 binary32)) #s(literal 4/9 binary32)) #s(literal 8/9 binary32)))) (neg.f32 x))) x))
(+ (* -1 (/ (+ (* -4/3 (pow (log 3) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (+ 4/9 (* 8/9 (log 3)))) (+ (* -16/27 (log 3)) (+ (* -26/81 (pow (log 3) 2)) (* (log 3) (- (* -52/81 (log 3)) 16/27))))) x)) (+ (* 4/9 (pow (log 3) 2)) (+ (* 8/9 (log 3)) (* (log 3) (+ 4/9 (* 8/9 (log 3))))))) x)) (* -2/3 (pow (log 3) 2)))) x)) (pow (log 3) 3))
(-.f32 (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 3 binary32)) (/.f32 (fma.f32 (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 4/9 binary32) (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 2 binary32)) (.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (fma.f32 #s(literal 8/9 binary32) (log.f32 #s(literal 3 binary32)) #s(literal 4/9 binary32)) #s(literal 8/9 binary32)))) (/.f32 (+.f32 (fma.f32 (fma.f32 #s(literal -52/81 binary32) (log.f32 #s(literal 3 binary32)) #s(literal -16/27 binary32)) (log.f32 #s(literal 3 binary32)) (fma.f32 #s(literal -26/81 binary32) (pow.f32 (log.f32 #s(literal 3 binary32)) #s(literal 2 binary32)) (.f32 #s(literal -16/27 binary32) (log.f32 #s(literal 3 binary32))))) (fma.f32 #s(literal -16/27 binary32) (log.f32 #s(literal 3 binary32)) #s(literal -8/27 binary32))) x)) (neg.f32 x))) x))
(pow (log -3) 2)
(pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32))
(+ (* 16/3 (/ (log -3) x)) (pow (log -3) 2))
(fma.f32 #s(literal 16/3 binary32) (/.f32 (log.f32 #s(literal -3 binary32)) x) (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32)))
(+ (* -1 (/ (+ (* -16/3 (log -3)) (* -1 (/ (+ 64/9 (* 8/9 (log -3))) x))) x)) (pow (log -3) 2))
(-.f32 (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal -16/3 binary32) (log.f32 #s(literal -3 binary32))) (/.f32 (fma.f32 #s(literal 8/9 binary32) (log.f32 #s(literal -3 binary32)) #s(literal 64/9 binary32)) x)) x))
(+ (* -1 (/ (+ (* -16/3 (log -3)) (* -1 (/ (+ 64/9 (+ (* -1 (/ (- (* -160/81 (log -3)) 64/27) x)) (* 8/9 (log -3)))) x))) x)) (pow (log -3) 2))
(-.f32 (pow.f32 (log.f32 #s(literal -3 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 #s(literal -16/3 binary32) (log.f32 #s(literal -3 binary32))) (/.f32 (+.f32 (-.f32 #s(literal 64/9 binary32) (/.f32 (fma.f32 #s(literal -160/81 binary32) (log.f32 #s(literal -3 binary32)) #s(literal -64/27 binary32)) x)) (.f32 #s(literal 8/9 binary32) (log.f32 #s(literal -3 binary32)))) x)) x))
(* 4 (pow x 2))
(.f32 #s(literal 4 binary32) (.f32 x x))
(* 4 (pow x 2))
(.f32 #s(literal 4 binary32) (.f32 x x))
(* 4 (pow x 2))
(.f32 #s(literal 4 binary32) (.f32 x x))
(* 4 (pow x 2))
(.f32 #s(literal 4 binary32) (.f32 x x))

rewrite218.0ms (2.9%)

Memory

3.1MiB live, 314.9MiB allocated

Rules

4 066×	`lower-/.f64`
4 056×	`lower-/.f32`
3 206×	`lower-*.f64`
3 184×	`lower-*.f32`
3 134×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	382
0	90	397
1	372	301
2	3165	291
0	8551	290

Stop Event

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

Counts

25 → 595

Calls

Call 1

Inputs
(/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))
(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
(*.f32 #s(literal 2 binary32) x)
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
(log1p.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x))
(/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32)))
(+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
(*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x x)
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))))
(pow.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))
(pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32))
(.f32 #s(literal 4 binary32) (.f32 x x))

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

eval306.0ms (4.1%)

Memory: 28.4MiB live, 385.0MiB allocated
Compiler: Compiled 71 007 to 4 016 computations (94.3% saved)

prune72.0ms (1%)

Memory

-34.8MiB live, 87.6MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	1 205	5	1 210
Fresh	2	1	3
Picked	5	0	5
Done	0	1	1
Total	1 212	7	1 219

Accuracy

100.0%

Counts

1 219 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
	22.0%	(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))
▶	99.2%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
▶	98.6%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
▶	99.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
▶	99.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
▶	97.1%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))

Compiler

Compiled 213 to 107 computations (49.8% saved)

simplify139.0ms (1.9%)

Memory

9.7MiB live, 201.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32))
cost-diff	0	(.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
cost-diff	1888	(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))
cost-diff	0	(.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x)
cost-diff	0	(.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
cost-diff	0	(fma.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
cost-diff	0	(*.f32 x x)
cost-diff	0	(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
cost-diff	0	#s(approx (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32))
cost-diff	0	(.f32 #s(approx (+ ( (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
cost-diff	0	(fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))
cost-diff	0	(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))

Rules

12 410×	`lower-fma.f64`
12 394×	`lower-fma.f32`
6 172×	`lower-*.f64`
6 156×	`lower-*.f32`
2 000×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	465
0	77	419
1	148	419
2	281	405
3	833	403
4	3299	401
5	5757	401
0	8471	375

Stop Event

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

Calls

Call 1

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

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

localize142.0ms (1.9%)

Memory

13.2MiB live, 222.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x))
accuracy	0.16015625	(.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
accuracy	0.3097420398670329	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
accuracy	0.32421875	(.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x)
accuracy	0.02734375	(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
accuracy	0.16015625	(.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
accuracy	0.3097420398670329	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
accuracy	0.32421875	(.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x)
accuracy	0	(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
accuracy	0	(*.f32 x x)
accuracy	0.02734375	(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
accuracy	0.4500893204797978	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
accuracy	0.015625	(.f32 #s(approx (+ ( (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x)
accuracy	0.3097420398670329	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
accuracy	0.8900566095461531	#s(approx (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32))
accuracy	0.01171875	(fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))
accuracy	0.015625	(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
accuracy	0.01953125	(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
accuracy	0.2290465594152865	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))

Samples

90.0ms

256×

valid

Compiler

Compiled 403 to 47 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 32.0ms (50.5% of total)

ival-add: 11.0ms (17.4% of total)

const: 8.0ms (12.6% of total)

ival-div: 5.0ms (7.9% of total)

ival-log1p: 4.0ms (6.3% of total)

ival-sub: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory

-26.0MiB live, 55.3MiB allocated

Counts

22 → 264

Calls

Call 1

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

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

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

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

3.0ms

-inf

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

3.0ms

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

simplify162.0ms (2.2%)

Memory

22.6MiB live, 214.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 390×	`lower-fma.f64`
11 390×	`lower-fma.f32`
5 456×	`lower-*.f64`
5 456×	`lower-*.f32`
2 030×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	2723
1	540	2646
2	1486	2621
3	5968	2597
0	8551	2398

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 254

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
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)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
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))))))
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 x)
(* x (- (* 1/9 (pow x 4)) 1))
(* x (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1))
(* x (- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 1/25 (pow x 2)))))) 1))
-1
(- (* 1/9 (pow x 4)) 1)
(- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)
(- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 1/25 (pow x 2)))))) 1)
1/5
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(* 1/9 (pow x 3))
(* (pow x 3) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* 1/25 (pow x 2))))))
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* 1/25 (pow x 2))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (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))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (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)))))
(* 1/2 (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))))))
(* 1/25 (pow x 9))
(* (pow x 9) (+ 1/25 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 9) (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 9) (- (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))) (/ 1 (pow x 8))))
(* 1/25 (pow x 8))
(* (pow x 8) (+ 1/25 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 8) (- (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))) (/ 1 (pow x 8))))
(* 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)))))
(* 1/5 (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)))))
(* 1/25 (pow x 7))
(* (pow x 7) (+ 1/25 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (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))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (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)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/25 (pow x 9))
(* (pow x 9) (+ 1/25 (* 2/15 (/ 1 (pow x 2)))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))) 1/25)))
(* -1 (* (pow x 9) (- (/ 1 (pow x 8)) (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
(* 1/25 (pow x 8))
(* (pow x 8) (+ 1/25 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 8) (- (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))) (/ 1 (pow x 8))))
(* 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)))))
(* 1/5 (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)))))
(* 1/25 (pow x 7))
(* (pow x 7) (+ 1/25 (* 2/15 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))) 1/25)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))) 1/25)))

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

rewrite191.0ms (2.6%)

Memory

31.7MiB live, 256.6MiB allocated

Rules

4 464×	`lower-/.f64`
4 462×	`lower-/.f32`
4 380×	`lower-*.f64`
4 364×	`lower-*.f32`
3 892×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	404
0	77	358
1	322	336
2	2396	331
0	8333	310

Stop Event

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

Counts

22 → 463

Calls

Call 1

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

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

eval169.0ms (2.3%)

Memory: -27.5MiB live, 255.5MiB allocated
Compiler: Compiled 39 647 to 2 261 computations (94.3% saved)

prune34.0ms (0.5%)

Memory

-5.1MiB live, 117.9MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 117	5	1 122
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	1 118	11	1 129

Accuracy

100.0%

Counts

1 129 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
	22.0%	(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))
▶	99.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
▶	98.6%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x))
▶	99.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
✓	99.2%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
✓	98.6%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
✓	99.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
▶	99.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
▶	98.7%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
✓	97.1%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))

Compiler

Compiled 340 to 158 computations (53.5% saved)

simplify134.0ms (1.8%)

Memory

41.6MiB live, 231.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32))
cost-diff	0	(.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
cost-diff	2592	(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))
cost-diff	0	(.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
cost-diff	0	(.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x)
cost-diff	0	(fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
cost-diff	0	(neg.f32 x)
cost-diff	0	#s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x))
cost-diff	0	(/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
cost-diff	0	(*.f32 x x)
cost-diff	0	(.f32 #s(literal 1/3 binary32) (.f32 x x))
cost-diff	0	(fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x)
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x))
cost-diff	0	(fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32))
cost-diff	0	(.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x)
cost-diff	0	(/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))

Rules

6 268×	`lower-fma.f64`
6 250×	`lower-fma.f32`
4 556×	`lower-*.f64`
4 538×	`lower-*.f32`
4 142×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	811
0	93	745
1	182	719
2	390	703
3	1344	695
4	5218	687
5	7561	687
0	8430	664

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))
(.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x)
(fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32))
#s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32)))
(.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))
(.f32 (.f32 x x) x)
(*.f32 x x)
x
#s(literal 1/9 binary32)
#s(literal -1 binary32)
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x))
(fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x)
(.f32 #s(literal 1/3 binary32) (.f32 x x))
#s(literal 1/3 binary32)
(*.f32 x x)
x
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
(/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))
#s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x))
(neg.f32 x)
x
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
#s(literal 1/5 binary32)
(*.f32 x x)
#s(literal 1/3 binary32)
#s(literal -1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
(fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x)
(.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x)
(.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(*.f32 x x)
x
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))
(.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x)
(fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32))
(.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x))
(.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x)
(.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(*.f32 x x)
x
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal -1 binary32)
(fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))

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

localize580.0ms (7.8%)

Memory

-152.6MiB live, 179.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x))
accuracy	0.171875	(.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x)
accuracy	0.2290465594152865	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
accuracy	0.31640625	(.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
accuracy	0.015625	(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
accuracy	0.171875	(.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x)
accuracy	0.2290465594152865	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
accuracy	0.31640625	(.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
accuracy	0.01171875	(/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))
accuracy	0.02734375	(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
accuracy	0.3097420398670329	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
accuracy	0.42200276816315363	#s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x))
accuracy	0	(fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x)
accuracy	0	(*.f32 x x)
accuracy	0.21484375	(.f32 #s(literal 1/3 binary32) (.f32 x x))
accuracy	0.4500893204797978	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x))
accuracy	0.046875	(.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))
accuracy	0.07421875	(.f32 (.f32 x x) x)
accuracy	0.3097420398670329	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
accuracy	1.072238348132555	#s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32)))

Samples

190.0ms

256×

valid

Compiler

Compiled 677 to 55 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-mult: 96.0ms (55.9% of total)

ival-add: 50.0ms (29.1% of total)

const: 11.0ms (6.4% of total)

ival-div: 6.0ms (3.5% of total)

ival-log1p: 4.0ms (2.3% of total)

ival-sub: 3.0ms (1.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory

1.1MiB live, 45.7MiB allocated

Counts

26 → 312

Calls

Call 1

Inputs
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))) (patch (/.f32 (.f32 (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (patch (.f32 (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) #<representation binary32>) () ())
#s(alt (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) (patch (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x)) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x) (patch (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 1/3 binary32) (.f32 x x)) (patch (.f32 #s(literal 1/3 binary32) (.f32 x x)) #<representation binary32>) () ())
#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))) (patch (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (patch #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) #<representation binary32>) () ())
#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x)) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x)) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x) (patch (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (patch (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) (patch (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))) (patch (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (patch (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) (patch (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) (patch #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 x x) x) (patch (.f32 (.f32 x x) x) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32)) (patch (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (patch (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (patch (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) (patch (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) #<representation binary32>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x 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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x 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 #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))) (patch #s(approx ( 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))) (patch (/.f32 (.f32 (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) (patch (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) #<representation binary32>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

-inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/ (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) -1)) (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (+ (* (* 1/3 (* x x)) x) x) (* 1/3 (* x x)) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/ (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) -1)) (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg x) (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (+ (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) x) x) (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) (/ (* (+ (* (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) -1)) (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (* (+ (* (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) x) -1) (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (* (* x x) x) (* (* (* x x) x) 1/9) (+ (* 1/5 (* x x)) 1/3) (+ (* (* x x) 1/7) 1/5) (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)))

7.0ms

inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/ (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) -1)) (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (+ (* (* 1/3 (* x x)) x) x) (* 1/3 (* x x)) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/ (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) -1)) (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg x) (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (+ (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) x) x) (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) (/ (* (+ (* (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) -1)) (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (* (+ (* (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) x) -1) (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (* (* x x) x) (* (* (* x x) x) 1/9) (+ (* 1/5 (* x x)) 1/3) (+ (* (* x x) 1/7) 1/5) (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)))

3.0ms

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/ (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) -1)) (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (+ (* (* 1/3 (* x x)) x) x) (* 1/3 (* x x)) (* x x) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/ (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* 1/5 (* x x)) 1/3) (* x x)) -1)) (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg x) (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (+ (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) x) x) (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) (/ (* (+ (* (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) -1)) (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (* (+ (* (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) x) -1) x) (+ (* (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) x) -1) (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (* (* x x) x) (* (* (* x x) x) 1/9) (+ (* 1/5 (* x x)) 1/3) (+ (* (* x x) 1/7) 1/5) (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)))

simplify266.0ms (3.6%)

Memory

17.4MiB live, 170.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 698×	`lower-fma.f64`
9 698×	`lower-fma.f32`
4 942×	`lower-*.f64`
4 942×	`lower-*.f32`
2 468×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	3179
1	731	3102
2	2128	3075
3	6463	3035
0	8295	2882

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 302

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* -1 x)
(* x (- (* 1/9 (pow x 4)) 1))
(* x (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1))
(* x (- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 1/25 (pow x 2)))))) 1))
-1
(- (* 1/9 (pow x 4)) 1)
(- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)
(- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 1/25 (pow x 2)))))) 1)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* -1 x)
(* x (- (* 1/9 (pow x 4)) 1))
(* x (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1))
(* x (- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 1/25 (pow x 2)))))) 1))
(* -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 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (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 x)
(* x (- (* 1/9 (pow x 4)) 1))
(* x (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1))
(* x (- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1))
-1
(- (* 1/9 (pow x 4)) 1)
(- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)
(- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1)
(* 1/9 (pow x 3))
(* (pow x 3) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* 1/25 (pow x 2))))))
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* 1/25 (pow x 2))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/9 (pow x 3))
(* 1/9 (pow x 3))
(* 1/9 (pow x 3))
(* 1/9 (pow x 3))
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
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(* 1/9 (pow x 3))
(* (pow x 3) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/25 (pow x 9))
(* (pow x 9) (+ 1/25 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 9) (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 9) (- (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))) (/ 1 (pow x 8))))
(* 1/25 (pow x 8))
(* (pow x 8) (+ 1/25 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 8) (- (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))) (/ 1 (pow x 8))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/25 (pow x 9))
(* (pow x 9) (+ 1/25 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 9) (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 9) (- (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))) (/ 1 (pow x 8))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (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))))))
(* 1/2 (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))))))
(* 1/49 (pow x 13))
(* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/25 (pow x 7))
(* (pow x 7) (+ 1/25 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/9 (pow x 3))
(* 1/9 (pow x 3))
(* 1/9 (pow x 3))
(* 1/9 (pow x 3))
(* 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 (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)))))
(* 1/49 (pow x 11))
(* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 11) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 11) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/5 (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)))
(* 1/25 (pow x 9))
(* (pow x 9) (+ 1/25 (* 2/15 (/ 1 (pow x 2)))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))) 1/25)))
(* -1 (* (pow x 9) (- (/ 1 (pow x 8)) (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
(* 1/25 (pow x 8))
(* (pow x 8) (+ 1/25 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 8) (- (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))) (/ 1 (pow x 8))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* 1/25 (pow x 9))
(* (pow x 9) (+ 1/25 (* 2/15 (/ 1 (pow x 2)))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))) 1/25)))
(* -1 (* (pow x 9) (- (/ 1 (pow x 8)) (+ 1/25 (+ (/ 1/9 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* 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)))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 1/49 (pow x 13))
(* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/25 (pow x 7))
(* (pow x 7) (+ 1/25 (* 2/15 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))) 1/25)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))) 1/25)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/9 (pow x 3))
(* 1/9 (pow x 3))
(* 1/9 (pow x 3))
(* 1/9 (pow x 3))
(* 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 (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)))))
(* 1/49 (pow x 11))
(* (pow x 11) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* -1 x)
(neg.f32 x)
(* x (- (* 1/9 (pow x 4)) 1))
(.f32 (fma.f32 (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/9 binary32) #s(literal -1 binary32)) x)
(* x (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1))
(.f32 (fma.f32 (fma.f32 #s(literal 2/15 binary32) (.f32 x x) #s(literal 1/9 binary32)) (.f32 (.f32 (*.f32 x x) x) x) #s(literal -1 binary32)) x)
(* x (- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 1/25 (pow x 2)))))) 1))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 x x) #s(literal 2/15 binary32)) (.f32 x x) #s(literal 1/9 binary32)) (.f32 (.f32 (.f32 x x) x) x) #s(literal -1 binary32)) x)
-1
#s(literal -1 binary32)
(- (* 1/9 (pow x 4)) 1)
(fma.f32 (.f32 (.f32 (*.f32 x x) x) x) #s(literal 1/9 binary32) #s(literal -1 binary32))
(- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)
(fma.f32 (fma.f32 #s(literal 2/15 binary32) (.f32 x x) #s(literal 1/9 binary32)) (.f32 (.f32 (.f32 x x) x) x) #s(literal -1 binary32))
(- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 1/25 (pow x 2)))))) 1)
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 x x) #s(literal 2/15 binary32)) (.f32 x x) #s(literal 1/9 binary32)) (.f32 (.f32 (*.f32 x x) x) x) #s(literal -1 binary32))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* 1/3 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/3 binary32))
(* 1/3 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/3 binary32))
(* 1/3 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/3 binary32))
(* 1/3 (pow x 2))
(.f32 (.f32 x x) #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)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* -1 x)
(neg.f32 x)
(* x (- (* 1/9 (pow x 4)) 1))
(.f32 (fma.f32 (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/9 binary32) #s(literal -1 binary32)) x)
(* x (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1))
(.f32 (fma.f32 (fma.f32 #s(literal 2/15 binary32) (.f32 x x) #s(literal 1/9 binary32)) (.f32 (.f32 (*.f32 x x) x) x) #s(literal -1 binary32)) x)
(* x (- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 1/25 (pow x 2)))))) 1))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 x x) #s(literal 2/15 binary32)) (.f32 x x) #s(literal 1/9 binary32)) (.f32 (.f32 (.f32 x x) x) x) #s(literal -1 binary32)) 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))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
(* 1/3 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x)
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x)
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x)
(* 1/3 x)
(*.f32 #s(literal 1/3 binary32) x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
(* -1 x)
(neg.f32 x)
(* x (- (* 1/9 (pow x 4)) 1))
(.f32 (fma.f32 (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/9 binary32) #s(literal -1 binary32)) x)
(* x (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1))
(.f32 (fma.f32 (fma.f32 #s(literal 2/15 binary32) (.f32 x x) #s(literal 1/9 binary32)) (.f32 (.f32 (*.f32 x x) x) x) #s(literal -1 binary32)) x)
(* x (- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 71/525 binary32) (.f32 x x) #s(literal 2/15 binary32)) (.f32 x x) #s(literal 1/9 binary32)) (.f32 (.f32 (.f32 x x) x) x) #s(literal -1 binary32)) x)
-1
#s(literal -1 binary32)
(- (* 1/9 (pow x 4)) 1)
(fma.f32 (.f32 (.f32 (*.f32 x x) x) x) #s(literal 1/9 binary32) #s(literal -1 binary32))
(- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)
(fma.f32 (fma.f32 #s(literal 2/15 binary32) (.f32 x x) #s(literal 1/9 binary32)) (.f32 (.f32 (.f32 x x) x) x) #s(literal -1 binary32))
(- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1)
(fma.f32 (fma.f32 (fma.f32 #s(literal 71/525 binary32) (.f32 x x) #s(literal 2/15 binary32)) (.f32 x x) #s(literal 1/9 binary32)) (.f32 (.f32 (*.f32 x x) x) x) #s(literal -1 binary32))
(* 1/9 (pow x 3))
(.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))
(* (pow x 3) (+ 1/9 (* 2/15 (pow x 2))))
(.f32 (.f32 (.f32 (fma.f32 #s(literal 2/15 binary32) (.f32 x x) #s(literal 1/9 binary32)) x) x) x)
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* 1/25 (pow x 2))))))
(.f32 (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 x x) #s(literal 2/15 binary32)) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* 1/25 (pow x 2))))))
(.f32 (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 x x) #s(literal 2/15 binary32)) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)
(pow x 3)
(.f32 (.f32 x x) x)
(pow x 3)
(.f32 (.f32 x x) x)
(pow x 3)
(.f32 (.f32 x x) x)
(pow x 3)
(.f32 (.f32 x x) x)
(* 1/9 (pow x 3))
(.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))
(* 1/9 (pow x 3))
(.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))
(* 1/9 (pow x 3))
(.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))
(* 1/9 (pow x 3))
(.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
1/5
#s(literal 1/5 binary32)
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(* 1/9 (pow x 3))
(.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))
(* (pow x 3) (+ 1/9 (* 2/15 (pow x 2))))
(.f32 (.f32 (.f32 (fma.f32 #s(literal 2/15 binary32) (.f32 x x) #s(literal 1/9 binary32)) x) x) x)
(* (pow x 3) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))
(.f32 (.f32 (fma.f32 (fma.f32 #s(literal 71/525 binary32) (.f32 x x) #s(literal 2/15 binary32)) (.f32 x x) #s(literal 1/9 binary32)) x) (*.f32 x x))
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(.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 71/525 binary32) (.f32 x x)) #s(literal 2/35 binary32)) (*.f32 x x)) #s(literal -1/49 binary32)) (pow.f32 x #s(literal 11 binary32)))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))))
(.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/15 binary32) (.f32 x x)) #s(literal 71/525 binary32)) (.f32 (.f32 (.f32 x x) x) x)) (-.f32 #s(literal -1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x)))) (pow.f32 x #s(literal 11 binary32)))

rewrite244.0ms (3.3%)

Memory

12.5MiB live, 241.3MiB allocated

Rules

4 864×	`lower-*.f64`
4 846×	`lower-*.f32`
4 166×	`lower-fma.f64`
4 148×	`lower-fma.f32`
4 018×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	679
0	93	597
1	383	538
2	2764	493
0	8442	469

Stop Event

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

Counts

26 → 480

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))
(.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x)
(fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x))
(fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x)
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(*.f32 x x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
(/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))
#s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x))
(neg.f32 x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
(fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x)
(.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x)
(.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
(.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x)
(fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32))
#s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32)))
(.f32 (.f32 x x) x)
(.f32 (.f32 (*.f32 x x) x) #s(literal 1/9 binary32))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (/.f32 x (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))) (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) x))) x #s(literal -1 binary32))))
(.f32 (/.f32 (.f32 (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x #s(literal -1 binary32)) x) (fma.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x)) (.f32 x x)) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (.f32 (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x #s(literal -1 binary32)) x) (fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x)) (.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x)) (.f32 x x)) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32))) (fma.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x)) (.f32 x x)) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) x) (neg.f32 x)))))
(.f32 (/.f32 x (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))) (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) x))) x #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) x))) x #s(literal -1 binary32)) x)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))) (.f32 (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) x))) x #s(literal -1 binary32)) x))
(.f32 (.f32 (neg.f32 x) (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
(.f32 (.f32 (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x #s(literal -1 binary32)) (/.f32 x (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(.f32 x (/.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x #s(literal -1 binary32)) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(.f32 x (.f32 (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
(.f32 #s(literal 1 binary32) (.f32 (/.f32 x (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))) (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) x))) x #s(literal -1 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x) #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x)))) x #s(literal -1 binary32)) (/.f32 x (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))) (neg.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) x))) x #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x)))) #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x)))) (.f32 (.f32 x x) x) #s(literal -1 binary32)) (/.f32 x (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))) (neg.f32 (fma.f32 (.f32 (.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x) #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x)))) x (-.f32 #s(literal 1 binary32) (.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) x))) (neg.f32 x))))))
(/.f32 (neg.f32 (.f32 (.f32 (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x #s(literal -1 binary32)) x) #s(literal 1 binary32))) (neg.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
(/.f32 (neg.f32 (neg.f32 (.f32 (neg.f32 x) (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x #s(literal -1 binary32))))) (neg.f32 (neg.f32 (neg.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x) #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x)))) x #s(literal -1 binary32)) x)) (neg.f32 (.f32 (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x #s(literal 1 binary32)) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x)))) #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x)))) (.f32 (.f32 x x) x) #s(literal -1 binary32)) x)) (neg.f32 (.f32 (fma.f32 (.f32 (.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x) #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x)))) x (-.f32 #s(literal 1 binary32) (.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) (neg.f32 x)))) (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32)))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x) #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x)))) x #s(literal -1 binary32)) (/.f32 x (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))) (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) x))) x #s(literal 1 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x)))) #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x)))) (.f32 (.f32 x x) x) #s(literal -1 binary32)) (/.f32 x (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)))) (fma.f32 (.f32 (.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x))) x) #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) x)))) x (-.f32 #s(literal 1 binary32) (.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) x))) (neg.f32 x)))))
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(/.f32 (neg.f32 (fma.f32 (.f32 #s(literal 1/125 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/27 binary32))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (-.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32)) (.f32 (*.f32 x x) #s(literal 1/15 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 #s(literal 1/125 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/27 binary32))) (neg.f32 (-.f32 (fma.f32 (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32) #s(literal 1/9 binary32)) (.f32 (.f32 x x) #s(literal 1/15 binary32)))))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) 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 (fma.f32 (.f32 #s(literal 1/125 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32)) (.f32 (*.f32 x x) #s(literal 1/15 binary32)))))
(/.f32 (fma.f32 (.f32 #s(literal 1/125 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/27 binary32)) (-.f32 (fma.f32 (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32) #s(literal 1/9 binary32)) (.f32 (.f32 x x) #s(literal 1/15 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)) (fma.f32 (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32) #s(literal -1/9 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32) #s(literal 1/9 binary32)) (.f32 (.f32 x x) #s(literal 1/15 binary32))) (fma.f32 (.f32 #s(literal 1/125 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/27 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)) (fma.f32 (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32) #s(literal -1/9 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32) #s(literal 1/9 binary32)) (.f32 (.f32 x x) #s(literal 1/15 binary32))) (fma.f32 (.f32 #s(literal 1/125 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/27 binary32))))
(-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 x x) 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))))
(fma.f32 (*.f32 #s(literal 1/5 binary32) x) x #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 x (*.f32 #s(literal 1/5 binary32) x) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)) (fma.f32 (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32) #s(literal -1/9 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (fma.f32 (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32) #s(literal 1/9 binary32)) (.f32 (.f32 x x) #s(literal 1/15 binary32))) (fma.f32 (.f32 #s(literal 1/125 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/27 binary32))) #s(literal -1 binary32))
(+.f32 (.f32 (.f32 x 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 (fma.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x) #s(literal -1/25 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal -1/5 binary32))))
(.f32 (fma.f32 (.f32 #s(literal 1/343 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/125 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32)) (.f32 (*.f32 x x) #s(literal 1/35 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/25 binary32) (.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x)))) (neg.f32 (-.f32 #s(literal 1/5 binary32) (.f32 #s(literal 1/7 binary32) (.f32 x x)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x) #s(literal -1/25 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal -1/5 binary32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 #s(literal 1/343 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/125 binary32)))) (neg.f32 (neg.f32 (-.f32 (fma.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32)) (.f32 (.f32 x x) #s(literal 1/35 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x)) (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal -1/5 binary32))) (.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal -1/5 binary32)) #s(literal 1/25 binary32))) (.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal -1/5 binary32)) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal -1/5 binary32))))
(/.f32 (-.f32 #s(literal 1/25 binary32) (.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x))) (-.f32 #s(literal 1/5 binary32) (.f32 #s(literal 1/7 binary32) (.f32 x x))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x) #s(literal -1/25 binary32))) (neg.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal -1/5 binary32))))
(/.f32 (neg.f32 (fma.f32 (.f32 #s(literal 1/343 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/125 binary32))) (neg.f32 (+.f32 #s(literal 1/25 binary32) (-.f32 (.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x)) (.f32 (*.f32 x x) #s(literal 1/35 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 #s(literal 1/343 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/125 binary32))) (neg.f32 (-.f32 (fma.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32)) (.f32 (.f32 x x) #s(literal 1/35 binary32)))))
(/.f32 (fma.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x) #s(literal -1/25 binary32)) (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal -1/5 binary32)))
(/.f32 (fma.f32 (.f32 #s(literal 1/343 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/125 binary32)) (+.f32 #s(literal 1/25 binary32) (-.f32 (.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x)) (.f32 (*.f32 x x) #s(literal 1/35 binary32)))))
(/.f32 (fma.f32 (.f32 #s(literal 1/343 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/125 binary32)) (-.f32 (fma.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32)) (.f32 (.f32 x x) #s(literal 1/35 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal -1/5 binary32)) (fma.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x) #s(literal -1/25 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32)) (.f32 (.f32 x x) #s(literal 1/35 binary32))) (fma.f32 (.f32 #s(literal 1/343 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/125 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal -1/5 binary32)) (fma.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x) #s(literal -1/25 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32)) (.f32 (.f32 x x) #s(literal 1/35 binary32))) (fma.f32 (.f32 #s(literal 1/343 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/125 binary32))))
(-.f32 (/.f32 (.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x)) (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal -1/5 binary32))) (/.f32 #s(literal 1/25 binary32) (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal -1/5 binary32))))
(fma.f32 (*.f32 #s(literal 1/7 binary32) x) x #s(literal 1/5 binary32))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(fma.f32 x (*.f32 #s(literal 1/7 binary32) x) #s(literal 1/5 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal -1/5 binary32)) (fma.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x) #s(literal -1/25 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/49 binary32) (.f32 (.f32 (.f32 x x) x) x) #s(literal 1/25 binary32)) (.f32 (.f32 x x) #s(literal 1/35 binary32))) (fma.f32 (.f32 #s(literal 1/343 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 x x) x) #s(literal 1/125 binary32))) #s(literal -1 binary32))
(+.f32 (.f32 #s(literal 1/7 binary32) (.f32 x x)) #s(literal 1/5 binary32))
(+.f32 #s(literal 1/5 binary32) (.f32 #s(literal 1/7 binary32) (.f32 x x)))
(.f32 (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))) (.f32 x x))
(.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x))
(.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)))
(.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x))
(.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x))
(.f32 (.f32 x x) (.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)))
(.f32 x (.f32 (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))))

eval193.0ms (2.6%)

Memory: -30.1MiB live, 210.3MiB allocated
Compiler: Compiled 55 343 to 2 591 computations (95.3% saved)

prune38.0ms (0.5%)

Memory

33.6MiB live, 108.9MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	1 341	3	1 344
Fresh	0	1	1
Picked	1	4	5
Done	0	5	5
Total	1 342	13	1 355

Accuracy

100.0%

Counts

1 355 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
	22.0%	(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))
✓	99.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
✓	98.6%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x))
	99.4%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) (.f32 (.f32 (.f32 (fma.f32 #s(literal 2/15 binary32) (.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
✓	99.2%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
✓	98.6%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
✓	99.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
✓	99.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
✓	98.7%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
	98.7%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
	98.8%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)) (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) x))) x #s(literal -1 binary32)) x))))
✓	97.1%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))

Compiler

Compiled 685 to 226 computations (67% saved)

regimes32.0ms (0.4%)

Memory

-25.4MiB live, 57.3MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)) (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) x))) x #s(literal -1 binary32)) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) (.f32 (.f32 (.f32 (fma.f32 #s(literal 2/15 binary32) (.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))))

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

Calls

4 calls:

9.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
9.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
6.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
6.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.9%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.9%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes25.0ms (0.3%)

Memory

19.0MiB live, 56.6MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)) (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) x))) x #s(literal -1 binary32)) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) (.f32 (.f32 (.f32 (fma.f32 #s(literal 2/15 binary32) (.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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 1/2 binary32) (log.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #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))))

Calls

4 calls:

7.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
6.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
6.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
6.0ms	x

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes25.0ms (0.3%)

Memory

-20.8MiB live, 53.2MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)) (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) x))) x #s(literal -1 binary32)) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) (.f32 (.f32 (.f32 (fma.f32 #s(literal 2/15 binary32) (.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.7%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.7%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes120.0ms (1.6%)

Memory

15.2MiB live, 58.4MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs

#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 2/15 binary32) (*.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))

Calls

4 calls:

104.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
5.0ms	x
5.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
5.0ms	(log1p.f32 (/.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)

regimes64.0ms (0.9%)

Memory

23.7MiB live, 57.9MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x x) #s(literal -1 binary32)) (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) x))) x #s(literal -1 binary32)) x))))

Outputs

#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (*.f32 (fma.f32 #s(approx (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (*.f32 (*.f32 (*.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))

Calls

4 calls:

50.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
5.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
4.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
4.0ms	x

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes21.0ms (0.3%)

Memory

-21.7MiB live, 53.2MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

7.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
6.0ms	x
4.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
4.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes32.0ms (0.4%)

Memory

-20.8MiB live, 36.1MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

20.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
4.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
4.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
4.0ms	x

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes14.0ms (0.2%)

Memory

27.2MiB live, 27.2MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes70.0ms (0.9%)

Memory

-17.3MiB live, 20.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

61.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	x

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes10.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes29.0ms (0.4%)

Memory

-10.1MiB live, 26.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms	x

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.6%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.6%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes11.0ms (0.2%)

Memory

-16.1MiB live, 21.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) 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	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.6%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.6%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes6.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
97.1%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
97.1%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify9.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Rules

50×	`*-commutative_binary32`
12×	`sub-neg_binary32`
12×	`+-commutative_binary32`
6×	`neg-sub0_binary32`
6×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	437
1	145	437
2	155	437
3	163	437
4	164	437

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (*.f32 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 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) (.f32 (.f32 (.f32 (fma.f32 #s(literal 2/15 binary32) (.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(.f32 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)))
(.f32 (log1p.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 x #s(literal 1 binary32))) x)) #s(literal 1/2 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x) x) (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) x)) (.f32 (.f32 (.f32 (fma.f32 #s(literal 2/15 binary32) (.f32 x x) #s(literal 1/9 binary32)) x) x) x)) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (.f32 (fma.f32 #s(approx ( (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) (.f32 (.f32 (.f32 x x) x) #s(literal 1/9 binary32))) x #s(literal -1 binary32)) x) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 (.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (.f32 (.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) x) x) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(approx (* (+ (* (* (* (* (+ (* 1/5 (* x x)) 1/3) x) x) (* (+ (* 1/5 (* x x)) 1/3) x)) x) -1) x) (neg.f32 x)) (fma.f32 #s(approx (+ (* 1/5 (* x x)) 1/3) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (- 1 (* x x)))))) (fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) x x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(approx (+ ( (+ (* 1/5 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary32)) x))

soundness1.8s (23.5%)

Memory

-6.0MiB live, 1 188.7MiB allocated

Rules

12 938×	`lower-fma.f64`
12 938×	`lower-fma.f32`
11 390×	`lower-fma.f64`
11 390×	`lower-fma.f32`
10 338×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	382
0	90	397
1	372	301
2	3165	291
0	8551	290
0	224	3179
1	731	3102
2	2128	3075
3	6463	3035
0	8295	2882
0	9	28
0	15	28
1	54	28
2	404	28
3	5595	28
0	8636	28
0	106	404
1	312	390
2	799	382
3	2150	380
4	4030	380
5	6476	380
0	8265	358
0	49	404
0	77	358
1	322	336
2	2396	331
0	8333	310
0	166	2723
1	540	2646
2	1486	2621
3	5968	2597
0	8551	2398
0	731	7750
1	2267	6695
2	7614	6695
0	8076	6185

Stop Event

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

Compiler

Compiled 584 to 289 computations (50.5% saved)

preprocess104.0ms (1.4%)

Memory: 5.3MiB live, 123.8MiB allocated
Compiler: Compiled 420 to 148 computations (64.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze1.0ms (0%)

sample664.0ms (8.9%)

explain262.0ms (3.5%)

preprocess40.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify10.0ms (0.1%)

localize44.0ms (0.6%)

series5.0ms (0.1%)

simplify192.0ms (2.6%)

rewrite319.0ms (4.3%)

eval20.0ms (0.3%)

prune10.0ms (0.1%)

simplify147.0ms (2%)

localize140.0ms (1.9%)

series44.0ms (0.6%)

simplify278.0ms (3.7%)

rewrite218.0ms (2.9%)

eval306.0ms (4.1%)

prune72.0ms (1%)

simplify139.0ms (1.9%)

localize142.0ms (1.9%)

series29.0ms (0.4%)

simplify162.0ms (2.2%)

rewrite191.0ms (2.6%)

eval169.0ms (2.3%)

prune34.0ms (0.5%)

simplify134.0ms (1.8%)

localize580.0ms (7.8%)

series38.0ms (0.5%)

simplify266.0ms (3.6%)

rewrite244.0ms (3.3%)

eval193.0ms (2.6%)

prune38.0ms (0.5%)

regimes32.0ms (0.4%)

regimes25.0ms (0.3%)

regimes25.0ms (0.3%)

regimes120.0ms (1.6%)

regimes64.0ms (0.9%)

regimes21.0ms (0.3%)

regimes32.0ms (0.4%)

regimes14.0ms (0.2%)

regimes70.0ms (0.9%)

regimes10.0ms (0.1%)

regimes29.0ms (0.4%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.8s (23.5%)

preprocess104.0ms (1.4%)

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