Metrics for Rust f32::atanh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 4 to 4 computations (0% saved)

sample528.0ms (9%)

Memory

17.9MiB live, 607.8MiB allocated

Samples

357.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-atanh: 96.0ms (92% of total)

ival-true: 6.0ms (5.8% of total)

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

Bogosity

explain381.0ms (6.5%)

Memory

-132.2MiB live, 145.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
36	-	36	(-0.004411313217133284)	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`#s(literal 2 binary32)`
0	-	0	-	`#s(literal 1/2 binary32)`
0	-	0	-	`(-.f32 #s(literal 1 binary32) x)`
0	-	0	-	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
0	-	0	-	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
0	-	0	-	`(*.f32 #s(literal 2 binary32) x)`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	256
-	0	0

Precision

0/0

Recall

0.0

Confusion?

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

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

296.0ms

512×

valid

Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions

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

ival-mult: 6.0ms (32.9% of total)

ival-div: 4.0ms (21.9% of total)

ival-log1p: 4.0ms (21.9% of total)

ival-sub: 3.0ms (16.5% of total)

exact: 1.0ms (5.5% of total)

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

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

preprocess30.0ms (0.5%)

Memory

-38.9MiB live, 41.3MiB 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 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Compiler

Compiled 10 to 9 computations (10% saved)

simplify10.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB 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)

localize50.0ms (0.8%)

Memory

-11.5MiB live, 26.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f32 #s(literal 2 binary32) x)
accuracy	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
accuracy	0.0546875	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
accuracy	2.097863176918506	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))

Samples

43.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (31.6% of total)

ival-div: 2.0ms (21.1% of total)

ival-log1p: 2.0ms (21.1% of total)

ival-sub: 1.0ms (10.5% of total)

exact: 1.0ms (10.5% of total)

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

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

series5.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

simplify158.0ms (2.7%)

Memory

31.2MiB live, 178.7MiB 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))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/5 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) x))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (pow.f32 x #s(literal 5 binary32)) (fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 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 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 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) (pow.f32 x #s(literal 3 binary32)))) (/.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) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (-.f32 (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.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) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (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 (/.f32 #s(literal 1 binary32) 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) (pow.f32 x #s(literal 3 binary32)))) (/.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)))
(-.f32 (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #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) (pow.f32 x #s(literal 3 binary32))) (/.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 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 #s(literal 2/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -2 binary32) 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 (/.f32 #s(literal 1 binary32) 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)

rewrite189.0ms (3.2%)

Memory

-2.6MiB live, 201.6MiB 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
#<batchref>
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eval26.0ms (0.4%)

Memory: -21.4MiB live, 50.6MiB allocated
Compiler: Compiled 4 261 to 820 computations (80.8% saved)

prune8.0ms (0.1%)

Memory

27.8MiB live, 27.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	200	9	209
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	201	9	210

Accuracy

97.6%

Counts

210 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.1%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (fma.f32 x x x) (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))))))
▶	96.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) #s(literal 1 binary32)))))
	96.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))))))))
▶	71.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
▶	7.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)))))
	61.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
	97.1%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x))))
▶	7.5%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) #s(literal -2 binary32))))
▶	97.4%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))

Compiler

Compiled 308 to 194 computations (37% saved)

simplify201.0ms (3.4%)

Memory

3.7MiB live, 197.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))
cost-diff	0	(log1p.f32 (/.f32 (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
cost-diff	64	(.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32))))
cost-diff	0	(log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) #s(literal 1 binary32)))))
cost-diff	160	(.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32))
cost-diff	768	(fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32)))
cost-diff	0	(-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
cost-diff	0	#s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)))
cost-diff	0	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)))))
cost-diff	0	#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
cost-diff	0	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) #s(literal -2 binary32))))
cost-diff	0	(*.f32 #s(literal 2 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)))

Rules

8 948×	`lower-fma.f64`
8 944×	`lower-fma.f32`
3 484×	`lower-*.f64`
3 462×	`lower-*.f32`
3 070×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	411
0	79	382
1	142	382
2	299	379
3	718	379
4	2368	379
5	5311	379
0	8333	371

Stop Event

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

Calls

Call 1

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

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

localize290.0ms (4.9%)

Memory

-17.7MiB live, 269.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.08660126953688403	(/.f32 (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))
accuracy	0.10546875	(pow.f32 (fma.f32 x x x) #s(literal 2 binary32))
accuracy	2.097863176918506	(log1p.f32 (/.f32 (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x x) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x))))
accuracy	18.15633838497038	(fma.f32 x x x)
accuracy	0.00390625	(-.f32 #s(literal 1 binary32) (*.f32 x x))
accuracy	0.03515625	(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy	2.097863176918506	(log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32))))
accuracy	2.1021937348625657	(fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32)))
accuracy	0.010097509768442016	(-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32))
accuracy	0.1484375	(/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)
accuracy	2.097863176918506	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))))
accuracy	30.589487238886612	#s(approx (/ (* 2 x) (- 1 x)) (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x)))
accuracy	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) #s(literal -2 binary32))))
accuracy	2.097863176918506	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32)))
accuracy	29.619842567354976	#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
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	0.8362449027186063	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))

Samples

179.0ms

256×

valid

Compiler

Compiled 399 to 38 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-mult: 128.0ms (78.6% of total)

ival-div: 10.0ms (6.1% of total)

ival-sub: 8.0ms (4.9% of total)

ival-log1p: 7.0ms (4.3% of total)

ival-pow: 4.0ms (2.5% of total)

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

ival-pow2: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series23.0ms (0.4%)

Memory

14.4MiB live, 51.0MiB allocated

Counts

24 → 288

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

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

3.0ms

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

2.0ms

inf

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

simplify189.0ms (3.2%)

Memory

-13.6MiB live, 199.8MiB allocated

Algorithm

1×	egg-herbie

Rules

17 150×	`lower-fma.f64`
17 150×	`lower-fma.f32`
4 024×	`lower-*.f64`
4 024×	`lower-*.f32`
3 866×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	2703
1	706	2628
2	1847	2484
3	5449	2456
0	8150	2311

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 281

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)
(* 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))))))))
(* 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 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(/ -2 (pow x 2))
(/ (- (* -2 x) 2) (pow x 2))
(/ (- (* x (- (* -2 x) 2)) 2) (pow x 2))
(/ (- (* x (- (* -2 x) 2)) 2) (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)
(* x (+ 2 (* 2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 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))))))))
(* 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 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* -2 x) 2))))
(* x (+ 2 (* (pow x 2) (- (* x (- (* -2 x) 2)) 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))))))))
(* 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 (pow x 2))
(/ (+ 2 (* 2 x)) (pow x 2))
(/ (+ 2 (* 2 x)) (pow x 2))
(/ (+ 2 (* 2 x)) (pow x 2))
(/ 2 x)
(/ (+ 2 (* 2 x)) x)
(/ (+ 2 (* 2 x)) x)
(/ (+ 2 (* 2 x)) x)
x
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 x)))
(* (pow x 2) (+ 1 (* x (+ 2 x))))
(* (pow x 2) (+ 1 (* 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 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))))
(* 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
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
-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)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow 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 (pow x 2))
(* (pow x 2) (+ 2 (* 4 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 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))))))
(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 (* 2 (/ 1 x))) x)
(/ (+ 2 (* 2 (/ 1 x))) x)
(/ (+ 2 (* 2 (/ 1 x))) x)
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (* 2 (/ 1 x)))
(+ 2 (* 2 (/ 1 x)))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
(* -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) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 4)
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 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)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 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)
(* 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
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) 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)
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) 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 (pow x 2))
(* (pow x 2) (+ 2 (* 4 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 4) 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 (* 2 (/ 1 x))) x)
(/ (+ 2 (* 2 (/ 1 x))) x)
(/ (+ 2 (* 2 (/ 1 x))) x)
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (* 2 (/ 1 x)))
(+ 2 (* 2 (/ 1 x)))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
(* -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) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 4)
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))

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

rewrite167.0ms (2.8%)

Memory

14.9MiB live, 207.0MiB allocated

Rules

5 506×	`lower-/.f64`
5 496×	`lower-/.f32`
4 104×	`lower-*.f64`
4 084×	`lower-*.f32`
3 624×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	340
0	79	275
1	335	235
2	2861	235
0	9264	235

Stop Event

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

Counts

24 → 780

Calls

Call 1

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

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eval128.0ms (2.2%)

Memory: -2.8MiB live, 223.6MiB allocated
Compiler: Compiled 31 891 to 4 172 computations (86.9% saved)

prune34.0ms (0.6%)

Memory

1.5MiB live, 87.3MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1 192	10	1 202
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	1 196	15	1 211

Accuracy

99.4%

Counts

1 211 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	0.8%	(.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
	22.4%	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))))
▶	78.2%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 x x))))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) #s(literal 1 binary32)))))
✓	96.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) #s(literal 1 binary32)))))
	78.2%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x)))) #s(literal 1 binary32)))))
	10.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x #s(approx ( (* 2 (/ x (- 1 (* x x)))) 1) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))))
▶	96.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))))))))
	28.1%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx ( (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 4 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
▶	97.1%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x))))
▶	61.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
▶	4.5%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))))
✓	7.5%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) #s(literal -2 binary32))))
✓	97.4%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
	8.1%	#s(approx (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
	5.3%	#s(approx (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))))

Compiler

Compiled 482 to 334 computations (30.7% saved)

simplify141.0ms (2.4%)

Memory

1.9MiB live, 167.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
cost-diff	0	#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
cost-diff	0	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))))))))
cost-diff	64	(.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))))
cost-diff	160	(.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
cost-diff	704	(fma.f32 x (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
cost-diff	0	#s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))
cost-diff	0	#s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))
cost-diff	0	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))))
cost-diff	0	(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
cost-diff	0	#s(approx (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x))
cost-diff	0	(log1p.f32 #s(approx (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x))))
cost-diff	64	(.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)))))
cost-diff	128	(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
cost-diff	160	(.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32))
cost-diff	704	(fma.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 x x))))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32)))

Rules

8 470×	`lower-fma.f64`
8 464×	`lower-fma.f32`
3 402×	`lower-*.f64`
3 382×	`lower-*.f32`
2 068×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	554
0	91	556
1	184	479
2	446	479
3	1250	479
4	3680	479
0	8148	458

Stop Event

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

Calls

Call 1

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

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

localize181.0ms (3.1%)

Memory

6.2MiB live, 163.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
accuracy	0.4572550391127779	#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
accuracy	2.0743691472171877	(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
accuracy	2.097863176918506	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
accuracy	0.00390625	(-.f32 #s(literal 1 binary32) (*.f32 x x))
accuracy	0.03515625	(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy	2.097863176918506	(log1p.f32 (fma.f32 x (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
accuracy	2.1021937348625657	(fma.f32 x (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
accuracy	0.14453125	(/.f32 #s(literal -2 binary32) (*.f32 x x))
accuracy	2.0617463931298152	#s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))
accuracy	2.097863176918506	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x)))))
accuracy	30.589487238886612	#s(approx (/ (* 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))
accuracy	0.0546875	(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
accuracy	0.984963215619856	#s(approx (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x))
accuracy	2.0743691472171877	(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
accuracy	2.097863176918506	(log1p.f32 #s(approx (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)))
accuracy	0.03515625	(/.f32 (neg.f32 x) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
accuracy	0.03515625	(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy	2.097863176918506	(log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 x x))))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32))))
accuracy	2.1021937348625657	(fma.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 x x))))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal 1 binary32)))

Samples

152.0ms

256×

valid

Compiler

Compiled 478 to 52 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-mult: 56.0ms (42.6% of total)

ival-div: 46.0ms (35% of total)

ival-sub: 8.0ms (6.1% of total)

ival-log1p: 7.0ms (5.3% of total)

ival-add: 6.0ms (4.6% of total)

ival-pow: 4.0ms (3% of total)

ival-pow2: 2.0ms (1.5% of total)

ival-neg: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series27.0ms (0.5%)

Memory

-28.7MiB live, 43.6MiB allocated

Counts

27 → 324

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify263.0ms (4.5%)

Memory

18.5MiB live, 172.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 422×	`lower-fma.f64`
16 422×	`lower-fma.f32`
3 856×	`lower-*.f64`
3 856×	`lower-*.f32`
3 414×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	3159
1	622	3049
2	1666	2894
3	4920	2848
0	8180	2703

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 318

Calls

Call 1

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

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

rewrite406.0ms (6.9%)

Memory

26.1MiB live, 345.4MiB allocated

Rules

6 260×	`lower-*.f64`
6 240×	`lower-*.f32`
5 014×	`lower-fma.f64`
5 008×	`lower-fma.f32`
3 980×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	465
0	89	408
1	431	317
2	3131	317
0	9785	317

Stop Event

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

Counts

27 → 916

Calls

Call 1

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

Outputs
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eval267.0ms (4.5%)

Memory: -9.5MiB live, 367.8MiB allocated
Compiler: Compiled 41 647 to 4 583 computations (89% saved)

prune120.0ms (2%)

Memory

-15.2MiB live, 146.8MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	1 520	8	1 528
Fresh	0	7	7
Picked	2	3	5
Done	1	2	3
Total	1 523	20	1 543

Accuracy

99.4%

Counts

1 543 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	0.8%	(.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
	22.4%	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))))
✓	78.2%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 x x))))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) #s(literal 1 binary32)))))
▶	78.2%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x)))) #s(literal 1 binary32)))))
	10.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x #s(approx ( (* 2 (/ x (- 1 (* x x)))) 1) (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 2 binary32))))))
✓	96.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))))))))
	97.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 #s(literal 1 binary32) #s(approx (* 2 (/ x (- 1 (* x x)))) (*.f32 x #s(literal 2 binary32)))))))
	96.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x #s(approx ( 2 (/ x (- 1 (* x x)))) (.f32 x #s(literal 2 binary32))) (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))))))))
	28.1%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx ( (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 4 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
▶	97.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (/.f32 (.f32 (fma.f32 (.f32 x #s(literal 4 binary32)) x #s(literal -4 binary32)) x) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32))))))
▶	7.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) x))))
	25.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (/.f32 (-.f32 (pow.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) (.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x))))))
	61.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (+.f32 (.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) (.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)))))))
▶	91.3%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
✓	4.5%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))))
▶	5.3%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) #s(approx (* (+ (* 2 x) 2) (+ (pow x 3) x)) (*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32)))))))
✓	7.5%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) #s(literal -2 binary32))))
✓	97.4%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
	7.9%	#s(approx (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
	5.3%	#s(approx (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))))

Compiler

Compiled 653 to 455 computations (30.3% saved)

simplify176.0ms (3%)

Memory

-6.7MiB live, 182.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (+ (* 2 x) 2) (+ (pow x 3) x)) (*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))))
cost-diff	0	#s(approx (/ (* 2 x) (- 1 x)) #s(approx (* (+ (* 2 x) 2) (+ (pow x 3) x)) (*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32)))))
cost-diff	0	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (* (+ (* 2 x) 2) (+ (pow x 3) x)) (*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) #s(approx (* (+ (* 2 x) 2) (+ (pow x 3) x)) (*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32)))))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x)))) #s(literal 1 binary32)))))
cost-diff	64	(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x))
cost-diff	160	(.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)))) #s(literal 1 binary32))
cost-diff	768	(fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)))) #s(literal 1 binary32)))
cost-diff	0	(/.f32 (.f32 (fma.f32 (.f32 x #s(literal 4 binary32)) x #s(literal -4 binary32)) x) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)))
cost-diff	0	#s(approx (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (/.f32 (.f32 (fma.f32 (.f32 x #s(literal 4 binary32)) x #s(literal -4 binary32)) x) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32))))
cost-diff	0	(log1p.f32 #s(approx (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (/.f32 (.f32 (fma.f32 (.f32 x #s(literal 4 binary32)) x #s(literal -4 binary32)) x) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (/.f32 (.f32 (fma.f32 (.f32 x #s(literal 4 binary32)) x #s(literal -4 binary32)) x) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32))))))
cost-diff	0	(.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) x)
cost-diff	0	#s(approx (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) x))
cost-diff	0	(log1p.f32 #s(approx (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) x)))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) x))))
cost-diff	0	(.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
cost-diff	0	#s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
cost-diff	0	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))

Rules

9 948×	`lower-fma.f64`
9 942×	`lower-fma.f32`
3 784×	`lower-*.f64`
3 756×	`lower-*.f32`
3 502×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	716
0	112	701
1	202	680
2	399	680
3	927	680
4	2785	680
5	5664	680
0	8138	645

Stop Event

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

Calls

Call 1

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

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

localize445.0ms (7.5%)

Memory

6.6MiB live, 287.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4572550391127779	#s(approx (/ (* 2 x) (- 1 x)) #s(approx (* (+ (* 2 x) 2) (+ (pow x 3) x)) (*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32)))))
accuracy	2.350083536227266	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) #s(approx (* (+ (* 2 x) 2) (+ (pow x 3) x)) (*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))))))
accuracy	21.03957673988424	(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32)))
accuracy	28.32233657594486	#s(approx (* (+ (* 2 x) 2) (+ (pow x 3) x)) (*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))))
accuracy	0.03515625	(/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x x)))
accuracy	0.03515625	(/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)))
accuracy	2.421662029315517	(log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)))) #s(literal 1 binary32))))
accuracy	11.658136814365477	(fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)))) #s(literal 1 binary32)))
accuracy	0.984963215619856	#s(approx (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (/.f32 (.f32 (fma.f32 (.f32 x #s(literal 4 binary32)) x #s(literal -4 binary32)) x) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32))))
accuracy	3.00401567221807	(log1p.f32 #s(approx (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (/.f32 (.f32 (fma.f32 (.f32 x #s(literal 4 binary32)) x #s(literal -4 binary32)) x) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32)))))
accuracy	11.367012022883584	(fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32))
accuracy	11.479122240121264	(fma.f32 (*.f32 x #s(literal 4 binary32)) x #s(literal -4 binary32))
accuracy	0.0546875	(.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) x)
accuracy	0.984963215619856	#s(approx (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) x))
accuracy	2.0743691472171877	#s(approx (+ (* 2 x) 2) #s(literal 2 binary32))
accuracy	3.0078724363894493	(log1p.f32 #s(approx (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) x)))
accuracy	0.05078125	(.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))
accuracy	0.4572550391127779	#s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))
accuracy	2.0743691472171877	#s(approx (+ (* 2 x) 2) #s(literal 2 binary32))
accuracy	2.097863176918506	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))

Samples

225.0ms

256×

valid

Compiler

Compiled 532 to 58 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-mult: 156.0ms (76.3% of total)

ival-div: 13.0ms (6.4% of total)

ival-add: 9.0ms (4.4% of total)

ival-sub: 7.0ms (3.4% of total)

ival-log1p: 7.0ms (3.4% of total)

ival-pow: 7.0ms (3.4% of total)

ival-pow2: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

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

series29.0ms (0.5%)

Memory

17.3MiB live, 53.3MiB allocated

Counts

27 → 324

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 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 #s(approx (/ ( 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 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 #s(approx (/ ( 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 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 #s(approx (/ ( 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2/3 (pow x 2)))) (taylor 0 x) (#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 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 #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 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 #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) (patch (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))) (taylor 0 x) (#s(alt #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) (patch #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) (patch (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* 2 x))) (taylor 0 x) (#s(alt (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) (patch (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* x (+ 2 (* 2 x))))) (taylor 0 x) (#s(alt (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) (patch (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)) #<representation binary32>) () ())) ())
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#s(alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x)))) #s(literal 1 binary32)))) (patch (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x)))) #s(literal 1 binary32)))) #<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 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x)))) #s(literal 1 binary32)))) (patch (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x)))) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x))) (patch (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) (taylor -inf x) (#s(alt (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x))) (patch (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) (taylor -inf x) (#s(alt (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x))) (patch (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) (taylor -inf x) (#s(alt (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x))) (patch (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x))) #<representation binary32>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 (pow x 2))) x)) (taylor -inf x) (#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x)) (taylor -inf x) (#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x)) (taylor -inf x) (#s(alt (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) (patch (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (* 2 (pow x 4)) (taylor -inf x) (#s(alt (.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (patch (.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (patch (.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) (taylor -inf x) (#s(alt (.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (patch (.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))) (taylor -inf x) (#s(alt (.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) (patch (.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (pow.f32 x #s(literal 4 binary32))) #<representation binary32>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

simplify243.0ms (4.1%)

Memory

-18.5MiB live, 184.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 758×	`lower-fma.f64`
15 758×	`lower-fma.f32`
3 892×	`lower-*.f64`
3 892×	`lower-*.f32`
3 288×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	3067
1	648	2952
2	1713	2895
3	5018	2850
0	8108	2667

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 317

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)
(* 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 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* 2 x)))
(* 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 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* 2 x)))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(* 2 x)
(* x (+ 2 (* 2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
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)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
-4
(- (* 4 (pow x 2)) 4)
(- (* 4 (pow x 2)) 4)
(- (* 4 (pow x 2)) 4)
-2
(- (* 2 x) 2)
(- (* 2 x) 2)
(- (* 2 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 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
x
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))
(* x (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 x)))
(* (pow x 2) (+ 2 (* x (+ 2 (* 2 x)))))
(* (pow x 2) (+ 2 (* x (+ 2 (* 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 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 x))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 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))))))
(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 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 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))))))
(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 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
(* -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))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (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 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 x))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 4 (/ 1 (pow x 2)))))
(* 2 x)
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(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))))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) x)
(* 2 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 x))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 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)))
(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 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 x))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 4) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) 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 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 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)))
(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 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
(* -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))
(* 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)))
(* 1/2 (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 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 x))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 4) (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 4 (* 4 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 (pow x 2))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) x))
(* 2 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 x))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))))

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

rewrite305.0ms (5.2%)

Memory

24.9MiB live, 214.0MiB allocated

Rules

6 172×	`lower-*.f64`
6 144×	`lower-*.f32`
5 104×	`lower-fma.f64`
5 098×	`lower-fma.f32`
3 566×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	608
0	112	594
1	469	411
2	3542	411
0	9765	390

Stop Event

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

Counts

27 → 411

Calls

Call 1

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

Outputs
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eval142.0ms (2.4%)

Memory: -4.8MiB live, 120.6MiB allocated
Compiler: Compiled 15 440 to 2 594 computations (83.2% saved)

prune90.0ms (1.5%)

Memory

-16.6MiB live, 67.6MiB allocated

Pruning

25 alts after pruning (16 fresh and 9 done)

	Pruned	Kept	Total
New	734	7	741
Fresh	1	9	10
Picked	1	4	5
Done	0	5	5
Total	736	25	761

Accuracy

99.4%

Counts

761 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	0.8%	(.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 (-.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
	22.4%	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))))
✓	96.4%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 x x))))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) #s(literal 1 binary32)))))
	96.5%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 (.f32 x x) #s(literal 1 binary32)))) #s(literal 1 binary32)))))
✓	78.2%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) x (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (neg.f32 x) x)))) #s(literal 1 binary32)))))
✓	96.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))))))))
	97.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 #s(literal 1 binary32) #s(approx (* 2 (/ x (- 1 (* x x)))) (*.f32 x #s(literal 2 binary32)))))))
	96.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x #s(approx ( 2 (/ x (- 1 (* x x)))) (.f32 x #s(literal 2 binary32))) (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))))))))
	11.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(literal 1 binary32) (.f32 (/.f32 x (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 (.f32 (/.f32 x (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32)) x))))
	61.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 (*.f32 x #s(literal 2 binary32)) (fma.f32 (+.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
	28.1%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(approx ( (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 4 binary32)) x)) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))))
✓	97.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (/.f32 (.f32 (fma.f32 (.f32 x #s(literal 4 binary32)) x #s(literal -4 binary32)) x) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32))))))
	30.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (/.f32 (.f32 (fma.f32 (.f32 x #s(literal 4 binary32)) x #s(literal -4 binary32)) x) (fma.f32 x #s(literal 2 binary32) #s(literal -2 binary32))))))
✓	7.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x))) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) x))))
	25.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (/.f32 (-.f32 (pow.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) #s(literal 2 binary32))) (-.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) (.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x))))))
	61.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (+.f32 (.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x) (.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)))))))
	91.3%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (+.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(approx (+ ( 2 x) 2) #s(literal 2 binary32))) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) x)))))
✓	91.3%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (.f32 #s(approx (+ ( 2 x) 2) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) x)))))
✓	4.5%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) #s(approx (- -2 (/ (- (/ 2 x) -2) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))))))
	5.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) #s(approx (* (+ (* 2 x) 2) (+ (pow x 3) x)) (.f32 (.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x) #s(literal -2 binary32)) (.f32 x x)) (.f32 x x))))))
✓	7.5%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) #s(literal -2 binary32))))
✓	97.4%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
	8.1%	#s(approx (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
	8.1%	#s(approx (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
	5.3%	#s(approx (* 1/2 (log (+ 1 (/ (* (* 2 (/ x (- 1 (pow x 3)))) (- 1 (pow (+ (* x x) x) 2))) (- 1 (+ (* x x) x)))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) x))))

Compiler

Compiled 1 082 to 514 computations (52.5% saved)

regimes167.0ms (2.8%)

Memory

10.5MiB live, 84.9MiB allocated

Accuracy

Total -31.2b remaining (-3726.4%)

Threshold costs -31.2b (-3726.4%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

4 calls:

83.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
63.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
10.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
9.0ms	x

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
97.4%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
97.4%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify87.0ms (1.5%)

Memory

9.7MiB live, 47.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-commutative-binary32-.f32`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	17	16

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

(*.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 #s(literal 2 binary32))) #s(literal 1/2 binary32))

soundness289.0ms (4.9%)

Memory

-12.2MiB live, 108.4MiB allocated

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×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 11 to 11 computations (0% saved)

preprocess97.0ms (1.6%)

Memory: 10.2MiB live, 49.5MiB allocated
Compiler: Compiled 32 to 30 computations (6.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze1.0ms (0%)

sample528.0ms (9%)

explain381.0ms (6.5%)

preprocess30.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.2%)

localize50.0ms (0.8%)

series5.0ms (0.1%)

simplify158.0ms (2.7%)

rewrite189.0ms (3.2%)

eval26.0ms (0.4%)

prune8.0ms (0.1%)

simplify201.0ms (3.4%)

localize290.0ms (4.9%)

series23.0ms (0.4%)

simplify189.0ms (3.2%)

rewrite167.0ms (2.8%)

eval128.0ms (2.2%)

prune34.0ms (0.6%)

simplify141.0ms (2.4%)

localize181.0ms (3.1%)

series27.0ms (0.5%)

simplify263.0ms (4.5%)

rewrite406.0ms (6.9%)

eval267.0ms (4.5%)

prune120.0ms (2%)

simplify176.0ms (3%)

localize445.0ms (7.5%)

series29.0ms (0.5%)

simplify243.0ms (4.1%)

rewrite305.0ms (5.2%)

eval142.0ms (2.4%)

prune90.0ms (1.5%)

regimes167.0ms (2.8%)

simplify87.0ms (1.5%)

soundness289.0ms (4.9%)

preprocess97.0ms (1.6%)

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