Metrics for Rust f32::atanh

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

3.0MiB live, 3.0MiB 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)

sample478.0ms (10.5%)

Memory

13.5MiB live, 678.6MiB allocated

Samples

328.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-atanh: 112.0ms (94.4% of total)

ival-true: 4.0ms (3.4% of total)

ival-assert: 3.0ms (2.5% of total)

Bogosity

explain90.0ms (2%)

Memory

-19.0MiB live, 165.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
40	-	40	(-0.00047424351214431226)	`(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	40
-	0	216

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	40
-	0	0	216

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

45.0ms

512×

valid

Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 7.0ms (37.3% of total)

ival-div: 4.0ms (21.3% of total)

ival-log1p: 4.0ms (21.3% of total)

ival-sub: 3.0ms (16% of total)

exact: 1.0ms (5.3% of total)

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

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

preprocess20.0ms (0.4%)

Memory

-6.8MiB live, 32.0MiB allocated

Algorithm

1×	egg-herbie

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.7%	(.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)

simplify9.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB 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))))

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)

localize27.0ms (0.6%)

Memory

-2.3MiB live, 38.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f32 #s(literal 2 binary32) x)
accuracy	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
accuracy	0.0625	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
accuracy	2.2533663388706073	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))

Samples

20.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (49.2% of total)

ival-log1p: 3.0ms (21.1% of total)

ival-div: 2.0ms (14.1% of total)

ival-sub: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-28.5MiB live, 9.7MiB 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
5.0ms	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	@	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))

Time

Variable

Point

Expression

5.0ms

inf

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

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))

simplify146.0ms (3.2%)

Memory

15.5MiB live, 211.4MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite129.0ms (2.8%)

Memory

16.2MiB live, 172.3MiB allocated

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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eval22.0ms (0.5%)

Memory: 11.6MiB live, 49.7MiB allocated
Compiler: Compiled 4 261 to 820 computations (80.8% saved)

prune95.0ms (2.1%)

Memory

-20.2MiB live, 66.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	201	8	209
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	202	8	210

Accuracy

97.1%

Counts

210 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))))
	68.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
	79.4%	(.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)))))
▶	11.4%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))))
	97.0%	(.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)) x))))
▶	96.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) x))))
▶	97.0%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
▶	6.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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)))

Compiler

Compiled 264 to 188 computations (28.8% saved)

simplify168.0ms (3.7%)

Memory

12.6MiB live, 203.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #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) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))))
cost-diff	160	(.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32))
cost-diff	3840	(fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))
cost-diff	0	(log1p.f32 (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))))
cost-diff	64	(neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
cost-diff	64	(.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
cost-diff	0	(log.f32 #s(literal -1 binary32))
cost-diff	0	(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))))
cost-diff	0	(-.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))
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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)))
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) x))
cost-diff	0	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #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) x))))
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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	365
0	76	336
1	144	336
2	370	333
3	1133	333
4	2489	333
5	4918	333
0	8170	320

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

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

localize135.0ms (3%)

Memory

16.0MiB live, 213.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
accuracy	0	(.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 1 binary32))
accuracy	0	(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
accuracy	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))))
accuracy	0	(log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32))))
accuracy	0	(*.f32 x #s(literal 2 binary32))
accuracy	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))))
accuracy	0	(neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
accuracy	0	(log1p.f32 (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
accuracy	0	(/.f32 #s(literal -1 binary32) x)
accuracy	0	(-.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))
accuracy	0	(log.f32 #s(literal -1 binary32))
accuracy	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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)))
accuracy	0	(*.f32 #s(literal 2 binary32) x)
accuracy	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) x))))
accuracy	0	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) x)))
accuracy	0	#s(approx (/ (* 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) x))
accuracy	0	(*.f32 #s(literal 2 binary32) x)
accuracy	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
accuracy	0	#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))

Samples

79.0ms

256×

invalid

Compiler

Compiled 359 to 40 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 18.0ms (29.1% of total)

ival-add: 12.0ms (19.4% of total)

ival-div: 9.0ms (14.6% of total)

ival-pow: 6.0ms (9.7% of total)

ival-log1p: 5.0ms (8.1% of total)

ival-sub: 4.0ms (6.5% of total)

const: 4.0ms (6.5% of total)

ival-log: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series44.0ms (1%)

Memory

-33.3MiB live, 90.4MiB allocated

Counts

21 → 240

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)) (.f32 #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) x)))) #<representation binary32>) () ())
#s(alt (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(literal 2 binary32) x))) (patch (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(literal 2 binary32) x)) (patch #s(approx (/ ( 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (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))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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))) #<representation binary32>) () ())
#s(alt (-.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)) (patch (-.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)) #<representation binary32>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())
#s(alt (log.f32 #s(literal -1 binary32)) (patch (log.f32 #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))) (patch (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (patch (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) (patch (log1p.f32 (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32))) (patch (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #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))))) #s(literal 1 binary32)) (patch (.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #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) (pow.f32 x #s(literal 3 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))))) #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) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))) (patch (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1 binary32) x) (patch (/.f32 #s(literal -1 binary32) x) #<representation binary32>) () ())
#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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)) (.f32 #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) 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) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 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) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (.f32 #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) 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) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 #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) x))) (patch (log1p.f32 #s(approx (/ ( 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 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(literal 2 binary32) x))) (patch (log1p.f32 #s(approx (/ ( 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 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(literal 2 binary32) x))) (patch (log1p.f32 #s(approx (/ ( 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 (log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(literal 2 binary32) x))) (patch (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 #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) x)) (patch #s(approx (/ ( 2 x) (- 1 x)) (*.f32 #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) x)) (patch #s(approx (/ ( 2 x) (- 1 x)) (*.f32 #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) x)) (patch #s(approx (/ ( 2 x) (- 1 x)) (*.f32 #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) x)) (patch #s(approx (/ ( 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (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))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (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))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (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))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (-.f32 (fma.f32 (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))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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))) #<representation binary32>) () ())) ())
#s(alt (/ 1/3 (pow x 3)) (taylor 0 x) (#s(alt (-.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)) (patch (-.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)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/3 (pow x 2)) (pow x 3)) (taylor 0 x) (#s(alt (-.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)) (patch (-.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)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3)) (taylor 0 x) (#s(alt (-.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)) (patch (-.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)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3)) (taylor 0 x) (#s(alt (-.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)) (patch (-.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)) #<representation binary32>) () ())) ())
#s(alt (/ 1/3 (pow x 3)) (taylor 0 x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) (taylor 0 x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) (taylor 0 x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3)) (taylor 0 x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))) (patch (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* 1/2 (log -1)) (taylor -inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #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) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #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) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x))) (taylor -inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #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) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1))) (taylor -inf x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #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) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))) (patch (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))) (patch (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#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) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))) (patch (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #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) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))) (patch (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f32 #s(literal -1 binary32) x) (patch (/.f32 #s(literal -1 binary32) x) #<representation binary32>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f32 #s(literal -1 binary32) x) (patch (/.f32 #s(literal -1 binary32) x) #<representation binary32>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f32 #s(literal -1 binary32) x) (patch (/.f32 #s(literal -1 binary32) x) #<representation binary32>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f32 #s(literal -1 binary32) x) (patch (/.f32 #s(literal -1 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) (taylor -inf x) (#s(alt (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) (taylor -inf x) (#s(alt (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2)) (taylor -inf x) (#s(alt (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	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) 1/2) (/ 1/3 (pow x 3))) (/ -1 x)) (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (log -1) (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (neg (+ (* (- 1 x) x) 1)) (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1)) (* (* 2 (/ x (- 1 (pow x 3)))) 1) (* 1/2 (log (+ 1 (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1))))) (log (+ 1 (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1)))) (/ -1 x) (* x 2) (* 2 (/ x (- 1 (pow x 3)))))
8.0ms	x	@	0	((* 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) 1/2) (/ 1/3 (pow x 3))) (/ -1 x)) (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (log -1) (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (neg (+ (* (- 1 x) x) 1)) (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1)) (* (* 2 (/ x (- 1 (pow x 3)))) 1) (* 1/2 (log (+ 1 (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1))))) (log (+ 1 (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1)))) (/ -1 x) (* x 2) (* 2 (/ x (- 1 (pow x 3)))))
7.0ms	x	@	-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) 1/2) (/ 1/3 (pow x 3))) (/ -1 x)) (+ (* (log -1) 1/2) (/ 1/3 (pow x 3))) (log -1) (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (neg (+ (* (- 1 x) x) 1)) (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1)) (* (* 2 (/ x (- 1 (pow x 3)))) 1) (* 1/2 (log (+ 1 (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1))))) (log (+ 1 (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1)))) (/ -1 x) (* x 2) (* 2 (/ x (- 1 (pow x 3)))))

Time

Variable

Point

Expression

11.0ms

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

8.0ms

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

7.0ms

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

simplify191.0ms (4.2%)

Memory

22.7MiB live, 264.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	270	2268
1	803	2203
2	2027	2149
3	5873	2125
0	8341	1997

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 235

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))))))))
(/ 1/3 (pow x 3))
(/ (+ 1/3 (pow x 2)) (pow x 3))
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3))
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3))
(/ 1/3 (pow x 3))
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3))
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3))
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
-1
(- (* -1 x) 1)
(- (* x (- x 1)) 1)
(- (* x (- x 1)) 1)
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(* 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 3))))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 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 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (+ 2 (* 2 (pow x 3))))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
(* 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))))))
(* 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)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3))))
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3))))
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3))))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 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 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (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))))))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (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)))
(* 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)))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3))))
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3))))
(+ (* 1/2 (log -1)) (* 1/3 (/ 1 (pow x 3))))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) 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))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (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 (/ (- (* -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)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 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 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #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 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) 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 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #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 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) 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 x (pow.f32 x #s(literal 3 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 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #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 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) x)
(/ 1/3 (pow x 3))
(/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 1/3 (pow x 2)) (pow x 3))
(/.f32 (fma.f32 x x #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3))
(/.f32 (fma.f32 (fma.f32 (.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 1/3 (* (pow x 2) (+ 1 (* 1/2 (* x (log -1)))))) (pow x 3))
(/.f32 (fma.f32 (fma.f32 (.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ 1/3 (pow x 3))
(/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3))
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 3 binary32))) (log.f32 #s(literal -1 binary32)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3))
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 3 binary32))) (log.f32 #s(literal -1 binary32)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 1/3 (* 1/2 (* (pow x 3) (log -1)))) (pow x 3))
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 3 binary32))) (log.f32 #s(literal -1 binary32)) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* 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 x) 2))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
-1
#s(literal -1 binary32)
(- (* -1 x) 1)
(-.f32 #s(literal -1 binary32) x)
(- (* x (- x 1)) 1)
(fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal -1 binary32))
(- (* x (- x 1)) 1)
(fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal -1 binary32))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 #s(literal -5/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(.f32 (fma.f32 #s(literal -10/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 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 x (pow.f32 x #s(literal 3 binary32))))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 (pow x 3))))
(*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) #s(literal 2 binary32))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(*.f32 #s(literal 2 binary32) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) (pow.f32 x #s(literal 7 binary32))))
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
(*.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) #s(literal 2 binary32)) (+.f32 x (pow.f32 x #s(literal 7 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 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #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 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) 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)
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(/ -1 x)
(/.f32 #s(literal -1 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)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 (pow x 3))))
(*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) #s(literal 2 binary32))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(*.f32 #s(literal 2 binary32) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) (pow.f32 x #s(literal 7 binary32))))
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
(*.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) #s(literal 2 binary32)) (+.f32 x (pow.f32 x #s(literal 7 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 binary32) x) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(+ (* 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 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 binary32) x) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(+ (* 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)
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#s(literal 2 binary32)
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(*.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)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 2 binary32) x)) x)
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) x) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 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 binary32) x) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)))))
(+ (* -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))
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(/ -1 x)
(/.f32 #s(literal -1 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)
(/ -2 (pow x 2))
(/.f32 (/.f32 #s(literal -2 binary32) x) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 2 binary32) x)) x)
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) x) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 4 binary32)))) x)

rewrite205.0ms (4.5%)

Memory

-17.0MiB live, 215.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	287
0	76	258
1	314	225
2	2824	225
0	8606	223

Stop Event

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

Counts

21 → 509

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

Outputs
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eval129.0ms (2.8%)

Memory: 42.5MiB live, 190.8MiB allocated
Compiler: Compiled 20 279 to 2 730 computations (86.5% saved)

prune55.0ms (1.2%)

Memory

-49.9MiB live, 91.8MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	793	12	805
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	797	16	813

Accuracy

99.4%

Counts

813 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.4%	(.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (neg.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))))
	23.0%	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))))
▶	11.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))))
	11.4%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) (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))))) #s(literal 1 binary32)))))
	70.2%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
	68.5%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) x))))))
	10.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) x) (neg.f32 x) #s(literal -1 binary32)))))
	90.5%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (neg (+ ( (- 1 x) x) 1)) #s(literal -1 binary32)))))
▶	12.5%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
▶	97.0%	(.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)) x))))
✓	97.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) x))))
	97.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
✓	97.0%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
▶	7.8%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))))
	7.7%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
▶	9.0%	#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)))

Compiler

Compiled 505 to 389 computations (23% saved)

simplify125.0ms (2.8%)

Memory

33.7MiB live, 102.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))
cost-diff	0	(log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) 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) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))))
cost-diff	160	(.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))
cost-diff	0	(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
cost-diff	64	(neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
cost-diff	64	(.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
cost-diff	0	(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)
cost-diff	0	(log.f32 #s(literal 3 binary32))
cost-diff	0	(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)))
cost-diff	0	(log.f32 #s(literal 3 binary32))
cost-diff	0	#s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))
cost-diff	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))))
cost-diff	0	(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
cost-diff	0	#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 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)) 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)) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	465
0	98	458
1	187	450
2	478	450
3	1602	444
4	4343	444
0	8132	438

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 (fma.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 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)))
#s(approx (/ (* 2 x) (- 1 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) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))
(log.f32 #s(literal 3 binary32))
#s(literal 3 binary32)
#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
(log.f32 #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal 1/2 binary32)
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32))
(/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x)
(-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32))
(/.f32 #s(literal 5/81 binary32) x)
#s(literal 5/81 binary32)
x
#s(literal 4/9 binary32)
#s(literal 1/3 binary32)
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
#s(literal 1/2 binary32)
(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) 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) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))))
(fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 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)
(fma.f32 x x x)
(.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))
#s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)

Outputs
(.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 (log1p.f32 #s(approx (/ ( 2 x) (- 1 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 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x)))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x))
#s(approx (/ (* 2 x) (- 1 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) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))))
(.f32 #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
#s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))
(log.f32 #s(literal 3 binary32))
#s(literal 3 binary32)
#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
(log.f32 #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal 1/2 binary32)
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32))
(/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x)
(-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32))
(/.f32 #s(literal 5/81 binary32) x)
#s(literal 5/81 binary32)
x
#s(literal 4/9 binary32)
#s(literal 1/3 binary32)
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
(.f32 (log1p.f32 (.f32 (fma.f32 x (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(log1p.f32 (*.f32 (fma.f32 x (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
(*.f32 (fma.f32 x (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)
(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))))
(.f32 (log1p.f32 (fma.f32 (.f32 (fma.f32 x x x) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 x #s(literal 2 binary32))))) #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) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))))
(log1p.f32 (fma.f32 (.f32 (fma.f32 x x x) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 x #s(literal 2 binary32)))))
(fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))
(fma.f32 (.f32 (fma.f32 x x x) x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 x #s(literal 2 binary32))))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
#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)
(fma.f32 x x x)
(.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))
#s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 x #s(literal 2 binary32)))
#s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x))
#s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 x #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))

localize170.0ms (3.7%)

Memory

-17.5MiB live, 186.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.7423326651350539	#s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x))
accuracy	8.711844466740649	(fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))
accuracy	10.119359792029526	(fma.f32 x x x)
accuracy	19.182627125905093	(log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))))
accuracy	0.0390625	(/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
accuracy	0.0546875	(.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
accuracy	10.346089190799095	(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
accuracy	23.960362709849765	(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
accuracy	0.08984375	(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)
accuracy	0.11328125	(/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x)
accuracy	28.732946556808734	(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
accuracy	30.271559066297677	#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)))
accuracy	0	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))))
accuracy	0	(log.f32 #s(literal 3 binary32))
accuracy	29.513166164946558	#s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))
accuracy	0.05078125	(*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)
accuracy	1.1203719052157868	#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x))
accuracy	2.2379665932790087	(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
accuracy	2.2533663388706073	(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)))

Samples

121.0ms

256×

valid

Compiler

Compiled 433 to 53 computations (87.8% saved)

Precisions

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

ival-mult: 27.0ms (26.1% of total)

ival-log1p: 23.0ms (22.3% of total)

ival-sub: 16.0ms (15.5% of total)

ival-div: 12.0ms (11.6% of total)

const: 9.0ms (8.7% of total)

ival-add: 7.0ms (6.8% of total)

ival-pow: 4.0ms (3.9% of total)

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

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

exact: 1.0ms (1% of total)

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

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

series26.0ms (0.6%)

Memory

-7.8MiB live, 29.2MiB allocated

Counts

24 → 276

Calls

Call 1

Inputs
#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)) 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)) 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)) x))) (patch (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x))) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 2 x) (- 1 x)) (.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)) (patch #s(approx (/ ( 2 x) (- 1 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) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))) (patch (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))) (patch #s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))) #<representation binary32>) () ())
#s(alt (log.f32 #s(literal 3 binary32)) (patch (log.f32 #s(literal 3 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))) (patch #s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))) #<representation binary32>) () ())
#s(alt (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)) (patch (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x) (patch (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x) #<representation binary32>) () ())
#s(alt (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) (patch (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (patch (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))) (patch (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)) (patch (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) 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) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) 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) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) 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) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))) (patch (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))) (patch (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))) #<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 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) (patch (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())
#s(alt (fma.f32 x x x) (patch (fma.f32 x x x) #<representation binary32>) () ())
#s(alt #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) (patch #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.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 #s(approx (/ ( 2 x) (- 1 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 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 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 x)) (*.f32 (fma.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 (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 x)) (*.f32 (fma.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 (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 x)) (*.f32 (fma.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 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x))) (patch (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.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 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x))) (patch (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.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 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x))) (patch (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.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 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x))) (patch (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.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 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)) (patch #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.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 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)) (patch #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.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 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)) (patch #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.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 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)) (patch #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#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 (* x (+ 2 (* 2 x))) (taylor 0 x) (#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 (* x (+ 2 (* 2 x))) (taylor 0 x) (#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 (* x (+ 2 (* 2 x))) (taylor 0 x) (#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 x (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))) (patch (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* -5/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))) (patch (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))) (patch (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))) (patch (.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))) (patch #s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* -10/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))) (patch #s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))) (patch #s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3)))) (taylor 0 x) (#s(alt #s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))) (patch #s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))) #<representation binary32>) () ())) ())
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#s(alt (log -1) (taylor -inf x) (#s(alt (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))) (patch (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* 2 (/ 1 x))) (taylor -inf x) (#s(alt (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))) (patch (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#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) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))) (patch (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) 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) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))) (patch (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt -2 (taylor -inf x) (#s(alt (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))) (patch (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))) (patch (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (taylor -inf x) (#s(alt (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))) (patch (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) (taylor -inf x) (#s(alt (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))) (patch (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#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 (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#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 (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#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 (* x (+ 2 (* 2 (/ 1 x)))) (taylor -inf x) (#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 (/ -4/9 x) (taylor -inf x) (#s(alt (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) (patch (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- 4/9 (* 5/81 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) (patch (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- 4/9 (* 5/81 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) (patch (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- 4/9 (* 5/81 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) (patch (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 x) 1)) (taylor -inf x) (#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (patch (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 3))) (taylor -inf x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 3))) (taylor -inf x) (#s(alt (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f32 x x x) (patch (fma.f32 x x x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f32 x x x) (patch (fma.f32 x x x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f32 x x x) (patch (fma.f32 x x x) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f32 x x x) (patch (fma.f32 x x x) #<representation binary32>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) (patch #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2))) (taylor -inf x) (#s(alt #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) (patch #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) (patch #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (* 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) (patch #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) x) (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log 3) (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x) (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1)) (neg (* (/ -2 (- 1 (pow x 3))) x)) (* 1/2 (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1))))) (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1)))) (* (* 2 (/ x (- 1 (pow x 3)))) 1) (* 1/2 (log (+ 1 (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1))))) (log (+ 1 (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1)))) (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1)) (+ (* 2 x) 2) (/ (- (/ 5/81 x) 4/9) x) (+ (* (- 1 x) x) 1) (/ -2 (- 1 (pow x 3))) (+ (* x x) x) (* 2 (/ x (- 1 (pow x 3)))))

3.0ms

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) x) (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log 3) (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x) (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1)) (neg (* (/ -2 (- 1 (pow x 3))) x)) (* 1/2 (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1))))) (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1)))) (* (* 2 (/ x (- 1 (pow x 3)))) 1) (* 1/2 (log (+ 1 (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1))))) (log (+ 1 (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1)))) (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1)) (+ (* 2 x) 2) (/ (- (/ 5/81 x) 4/9) x) (+ (* (- 1 x) x) 1) (/ -2 (- 1 (pow x 3))) (+ (* x x) x) (* 2 (/ x (- 1 (pow x 3)))))

2.0ms

inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* (+ (* 2 x) 2) x) (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log 3) (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x) (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1)) (neg (* (/ -2 (- 1 (pow x 3))) x)) (* 1/2 (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1))))) (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1)))) (* (* 2 (/ x (- 1 (pow x 3)))) 1) (* 1/2 (log (+ 1 (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1))))) (log (+ 1 (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1)))) (+ (* (* 2 (/ x (- 1 (pow x 3)))) (+ (* x x) x)) (* (* 2 (/ x (- 1 (pow x 3)))) 1)) (+ (* 2 x) 2) (/ (- (/ 5/81 x) 4/9) x) (+ (* (- 1 x) x) 1) (/ -2 (- 1 (pow x 3))) (+ (* x x) x) (* 2 (/ x (- 1 (pow x 3)))))

simplify171.0ms (3.8%)

Memory

9.5MiB live, 202.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	2697
1	899	2617
2	2258	2507
3	5270	2501
0	8327	2336

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 270

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 (* 2 x)))
(* x (+ 2 (* 2 x)))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(/ 5/81 (pow x 3))
(/ (+ 5/81 (* -4/9 x)) (pow x 3))
(/ (+ 5/81 (* x (- (* -1/3 x) 4/9))) (pow x 3))
(/ (+ 5/81 (* x (- (* x (- (* 1/2 (* x (log 3))) 1/3)) 4/9))) (pow x 3))
(/ 5/81 (pow x 3))
(/ (+ 5/81 (* -4/9 x)) (pow x 3))
(/ (+ 5/81 (* x (- (* -1/3 x) 4/9))) (pow x 3))
(/ (+ 5/81 (* x (- (* -1/3 x) 4/9))) (pow x 3))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(* 2 x)
(* x (+ 2 (* 2 (pow x 3))))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(* 2 x)
(* x (+ 2 (* 2 (pow x 3))))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 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
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(/ 5/81 (pow x 2))
(/ (+ 5/81 (* -4/9 x)) (pow x 2))
(/ (+ 5/81 (* -4/9 x)) (pow x 2))
(/ (+ 5/81 (* -4/9 x)) (pow x 2))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(+ 1 (* x (+ 1 (* -1 x))))
-2
(- (* -2 (pow x 3)) 2)
(- (* (pow x 3) (- (* -2 (pow x 3)) 2)) 2)
(- (* (pow x 3) (- (* (pow x 3) (- (* -2 (pow x 3)) 2)) 2)) 2)
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(* 2 x)
(* x (+ 2 (* 2 (pow x 3))))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
(* 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 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(/ -1/3 x)
(* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x))
(/ (- (/ 5/81 (pow x 2)) (+ 1/3 (* 4/9 (/ 1 x)))) x)
(/ (- (/ 5/81 (pow x 2)) (+ 1/3 (* 4/9 (/ 1 x)))) x)
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (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)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(/ -4/9 x)
(/ (- (* 5/81 (/ 1 x)) 4/9) x)
(/ (- (* 5/81 (/ 1 x)) 4/9) x)
(/ (- (* 5/81 (/ 1 x)) 4/9) x)
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (+ (* 2 (/ 1 (pow x 9))) (/ 2 (pow x 6))))) (pow x 3))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (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 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 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(/ -1/3 x)
(* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x))
(* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x))
(* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (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 (/ (- (* -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)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(/ -4/9 x)
(* -1 (/ (- 4/9 (* 5/81 (/ 1 x))) x))
(* -1 (/ (- 4/9 (* 5/81 (/ 1 x))) x))
(* -1 (/ (- 4/9 (* 5/81 (/ 1 x))) x))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 3)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 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 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #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 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) 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 (.f32 (fma.f32 x x #s(literal 1 binary32)) (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 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(.f32 (fma.f32 #s(literal -10/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(/ 5/81 (pow x 3))
(/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 5/81 (* -4/9 x)) (pow x 3))
(/.f32 (fma.f32 #s(literal -4/9 binary32) x #s(literal 5/81 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 5/81 (* x (- (* -1/3 x) 4/9))) (pow x 3))
(/.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -4/9 binary32)) x #s(literal 5/81 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 5/81 (* x (- (* x (- (* 1/2 (* x (log 3))) 1/3)) 4/9))) (pow x 3))
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (log.f32 #s(literal 3 binary32)) x) #s(literal 1/2 binary32) #s(literal -1/3 binary32)) x #s(literal -4/9 binary32)) x #s(literal 5/81 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ 5/81 (pow x 3))
(/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 5/81 (* -4/9 x)) (pow x 3))
(/.f32 (fma.f32 #s(literal -4/9 binary32) x #s(literal 5/81 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 5/81 (* x (- (* -1/3 x) 4/9))) (pow x 3))
(/.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -4/9 binary32)) x #s(literal 5/81 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 5/81 (* x (- (* -1/3 x) 4/9))) (pow x 3))
(/.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -4/9 binary32)) x #s(literal 5/81 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* 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 x) 2))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 (pow x 3))))
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) x))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
(.f32 (.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) #s(literal 2 binary32))) x)
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(.f32 (fma.f32 #s(literal -10/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 (pow x 3))))
(*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) x))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
(.f32 (.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #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 3 binary32)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #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 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) 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 (.f32 (fma.f32 x x #s(literal 1 binary32)) (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))
(/ 5/81 (pow x 2))
(/.f32 #s(literal 5/81 binary32) (*.f32 x x))
(/ (+ 5/81 (* -4/9 x)) (pow x 2))
(/.f32 (/.f32 (fma.f32 #s(literal -4/9 binary32) x #s(literal 5/81 binary32)) x) x)
(/ (+ 5/81 (* -4/9 x)) (pow x 2))
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#s(literal 1 binary32)
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#s(literal -2 binary32)
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#s(literal -2 binary32)
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#s(literal 2 binary32)
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#s(literal -2 binary32)
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(* (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 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
(log 3)
(log.f32 #s(literal 3 binary32))
(- (log 3) (* 2/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x))
(* 1/2 (log 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
(* 1/2 (log 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
(/ -1/3 x)
(/.f32 #s(literal -1/3 binary32) x)
(* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x))
(/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x)
(* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)
(* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)
2
#s(literal 2 binary32)
(- 2 (* 2 (/ 1 x)))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x))
(/ -2 (pow x 2))
(/.f32 (/.f32 #s(literal -2 binary32) x) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) x) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) x) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 4 binary32)))) x)
(* 1/2 (log 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
(log 3)
(log.f32 #s(literal 3 binary32))
(- (log 3) (* 2/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x))
(/ -2 (pow x 2))
(/.f32 (/.f32 #s(literal -2 binary32) x) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) x) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) x) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 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 2 binary32) x) #s(literal -2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) x) x)))
(* 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))
(/ -4/9 x)
(/.f32 #s(literal -4/9 binary32) x)
(* -1 (/ (- 4/9 (* 5/81 (/ 1 x))) x))
(/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x)
(* -1 (/ (- 4/9 (* 5/81 (/ 1 x))) x))
(/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x)
(* -1 (/ (- 4/9 (* 5/81 (/ 1 x))) x))
(/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x)
(* -1 (pow x 2))
(*.f32 (neg.f32 x) x)
(* (pow x 2) (- (/ 1 x) 1))
(-.f32 x (*.f32 x x))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(/ 2 (pow x 3))
(/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))
(/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 3)))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32))))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 3)))
(-.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32))))
(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)
(/ -2 (pow x 2))
(/.f32 (/.f32 #s(literal -2 binary32) x) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) x) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 (/.f32 #s(literal -2 binary32) x) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 4 binary32)))) x)

rewrite185.0ms (4.1%)

Memory

27.9MiB live, 184.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	378
0	98	370
1	393	357
2	3261	357
0	8425	357

Stop Event

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

Counts

24 → 457

Calls

Call 1

Inputs
(.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))))
(log1p.f32 #s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x)))
#s(approx (/ (* 2 x) (- 1 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) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))))
#s(approx (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32)))
(log.f32 #s(literal 3 binary32))
#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)
(.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))
(.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) 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) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))))
(log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32))))
(fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))
(fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32))
(/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x)
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
(fma.f32 x x x)
#s(approx (* 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x))

Outputs
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eval130.0ms (2.9%)

Memory: -27.1MiB live, 129.2MiB allocated
Compiler: Compiled 17 139 to 2 830 computations (83.5% saved)

prune28.0ms (0.6%)

Memory

-11.9MiB live, 75.7MiB allocated

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	722	6	728
Fresh	3	6	9
Picked	1	4	5
Done	0	2	2
Total	726	18	744

Accuracy

99.4%

Counts

744 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.8%	(.f32 (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x))) #s(literal 1/2 binary32))
	16.4%	(.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (neg.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))))
	23.0%	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))))
✓	10.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))))
	11.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) (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))))) #s(literal 1 binary32)))))
	67.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
	36.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 x x x) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(approx ( 2 (/ x (- 1 (pow x 3)))) (.f32 x #s(literal 2 binary32)))) (-.f32 (pow.f32 (.f32 (.f32 (fma.f32 x x x) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 2 binary32)) (pow.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 x #s(literal 2 binary32))) #s(literal 2 binary32)))))))
	90.5%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (neg (+ ( (- 1 x) x) 1)) #s(literal -1 binary32)))))
▶	12.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))))
▶	90.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ ( (- 1 x) x) 1) #s(literal 1 binary32)))))
✓	96.3%	(.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))))
✓	96.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) x))))
▶	92.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
✓	97.0%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
✓	7.8%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))))
▶	7.9%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
✓	9.0%	#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)))
▶	6.0%	#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) #s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))))

Compiler

Compiled 527 to 379 computations (28.1% saved)

simplify162.0ms (3.6%)

Memory

33.6MiB live, 187.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))))
cost-diff	64	(neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
cost-diff	64	(.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
cost-diff	0	(.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))
cost-diff	0	(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ ( (- 1 x) x) 1) #s(literal 1 binary32)))))
cost-diff	64	(neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
cost-diff	0	(/.f32 #s(literal 1 binary32) x)
cost-diff	0	(log.f32 #s(literal -1 binary32))
cost-diff	0	(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
cost-diff	0	(pow.f32 x #s(literal 3 binary32))
cost-diff	0	(/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))
cost-diff	0	#s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32))))
cost-diff	0	#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) #s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))))
cost-diff	0	(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
cost-diff	0	#s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
cost-diff	0	(log1p.f32 #s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))
cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	442
0	91	434
1	173	425
2	409	422
3	1416	413
4	3986	413
0	8140	409

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 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))
#s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32))
#s(literal -2 binary32)
x
#s(literal 2 binary32)
#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) #s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))))
#s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32))))
(/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 5/81 binary32)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(log.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ ( (- 1 x) x) 1) #s(literal 1 binary32)))))
#s(literal 1/2 binary32)
(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))
(.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))))
#s(literal 1/2 binary32)
(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
(.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
(.f32 (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 #s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))
#s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
(fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32))
(fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32))
#s(literal -2 binary32)
x
#s(literal 2 binary32)
#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) #s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))))
#s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32))))
(/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 5/81 binary32)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(log.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
#s(literal 1/2 binary32)
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ ( (- 1 x) x) 1) #s(literal 1 binary32)))))
(.f32 (log1p.f32 (.f32 (.f32 #s(approx (+ ( (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))
(log1p.f32 (.f32 (.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))
(.f32 (.f32 #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))))
(.f32 (log1p.f32 (.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
(log1p.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)
(/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(literal -2 binary32)
(-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 x #s(literal 3 binary32))
x
#s(literal 3 binary32)
(fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) x)

localize266.0ms (5.8%)

Memory

-24.7MiB live, 257.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
accuracy	0	(.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
accuracy	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))))
accuracy	0	(neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
accuracy	0	(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
accuracy	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ ( (- 1 x) x) 1) #s(literal 1 binary32)))))
accuracy	0	(neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
accuracy	0	(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))
accuracy	0	#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))
accuracy	0	(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
accuracy	0	(/.f32 #s(literal 1 binary32) x)
accuracy	0	(log.f32 #s(literal -1 binary32))
accuracy	0	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
accuracy	0	(pow.f32 x #s(literal 3 binary32))
accuracy	0	(/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))
accuracy	0	#s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32))))
accuracy	0	#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) #s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))))
accuracy	0	(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
accuracy	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
accuracy	0	(log1p.f32 #s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))
accuracy	0	#s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))

Samples

147.0ms

256×

invalid

Compiler

Compiled 391 to 57 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-mult: 60.0ms (47.4% of total)

ival-div: 21.0ms (16.6% of total)

ival-add: 12.0ms (9.5% of total)

ival-log1p: 9.0ms (7.1% of total)

const: 9.0ms (7.1% of total)

ival-sub: 5.0ms (4% of total)

ival-log: 4.0ms (3.2% of total)

ival-pow: 4.0ms (3.2% of total)

ival-neg: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series19.0ms (0.4%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

20 → 228

Calls

Call 1

Inputs
#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) #<representation binary32>) () ())
#s(alt (log1p.f32 #s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) (patch (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #<representation binary32>) () ())
#s(alt #s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) (patch #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) (patch (.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) #s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32))))) (patch #s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) #s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))) (patch #s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32))) (patch (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32))) #<representation binary32>) () ())
#s(alt (pow.f32 x #s(literal 3 binary32)) (patch (pow.f32 x #s(literal 3 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) (patch #s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())
#s(alt (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) (patch (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())
#s(alt (log.f32 #s(literal -1 binary32)) (patch (log.f32 #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) x) (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ())
#s(alt (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (patch (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ ( (- 1 x) x) 1) #s(literal 1 binary32))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ ( (- 1 x) x) 1) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))) (patch (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))) (patch (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))) (patch (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))) (patch (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) (patch #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)) #<representation binary32>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* -5/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3)))) (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3)))) (taylor 0 x) (#s(alt (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) (patch (.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))) #<representation binary32>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (* (+ (* (+ (* -2 x) 2) x) 2) x) (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/ 5/81 (pow x 3)) (pow x 3) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (log -1) (/ 1 x) (neg (* (/ -2 (- 1 (pow x 3))) x)) (* 1/2 (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1))))) (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1)))) (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1)) (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* x (- 1 x)) 1)) (* 1/2 (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* x (- 1 x)) 1))))) (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* x (- 1 x)) 1)))) (+ (* (- 1 x) x) 1))

3.0ms

((* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (* (+ (* (+ (* -2 x) 2) x) 2) x) (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/ 5/81 (pow x 3)) (pow x 3) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (log -1) (/ 1 x) (neg (* (/ -2 (- 1 (pow x 3))) x)) (* 1/2 (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1))))) (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1)))) (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1)) (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* x (- 1 x)) 1)) (* 1/2 (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* x (- 1 x)) 1))))) (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* x (- 1 x)) 1)))) (+ (* (- 1 x) x) 1))

3.0ms

inf

((* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (* (+ (* (+ (* -2 x) 2) x) 2) x) (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/ 5/81 (pow x 3)) (pow x 3) (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (log -1) 1/2) (/ 1 x)) (log -1) (/ 1 x) (neg (* (/ -2 (- 1 (pow x 3))) x)) (* 1/2 (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1))))) (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1)))) (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* (- 1 x) x) 1)) (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* x (- 1 x)) 1)) (* 1/2 (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* x (- 1 x)) 1))))) (log (+ 1 (* (neg (* (/ -2 (- 1 (pow x 3))) x)) (+ (* x (- 1 x)) 1)))) (+ (* (- 1 x) x) 1))

simplify188.0ms (4.1%)

Memory

-7.7MiB live, 255.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	2014
1	677	1933
2	1727	1902
3	5243	1870
0	8147	1741

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 223

Calls

Call 1

Inputs
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(/ 5/81 (pow x 3))
(/ (+ 5/81 (* -4/9 x)) (pow x 3))
(/ (+ 5/81 (* x (- (* -1/3 x) 4/9))) (pow x 3))
(/ (+ 5/81 (* x (- (* x (- (* 1/2 (* x (log 3))) 1/3)) 4/9))) (pow x 3))
(/ 5/81 (pow x 3))
(/ 5/81 (pow x 3))
(/ 5/81 (pow x 3))
(/ 5/81 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(/ 1 x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 2 x)
(* x (+ 2 (* 2 (pow x 3))))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* -2 x)))))
(* x (+ 2 (* x (+ 2 (* x (- (* 2 x) 2))))))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(* 2 x)
(* x (+ 2 (* -10/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(+ 1 (* x (+ 1 (* -1 x))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(* -2 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))) 2))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(/ 5/81 (pow x 3))
(/ 5/81 (pow x 3))
(/ 5/81 (pow x 3))
(/ 5/81 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 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 x))
(+ (* 1/2 (log -1)) (/ 1 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(- (+ 2 (* 2 (/ 1 (pow x 3)))) (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(- (+ (* 1/2 (log 3)) (* 5/81 (/ 1 (pow x 3)))) (+ (/ 4/9 (pow x 2)) (* 1/3 (/ 1 x))))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(- (+ (log 3) (* 10/81 (/ 1 (pow x 3)))) (+ (/ 8/9 (pow x 2)) (* 2/3 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(/ 5/81 (pow x 3))
(/ 5/81 (pow x 3))
(/ 5/81 (pow x 3))
(/ 5/81 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 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 x))
(+ (* 1/2 (log -1)) (/ 1 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(* 1/2 (log 3))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(log 3)
(- (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))

Outputs
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* -10/3 (pow x 2))))
(.f32 (fma.f32 #s(literal -10/3 binary32) (.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* 8 x) 10/3))))
(.f32 (fma.f32 (fma.f32 #s(literal 8 binary32) x #s(literal -10/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x)
(* x (+ 2 (* (pow x 2) (- (* x (+ 8 (* -38/5 x))) 10/3))))
(.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -38/5 binary32) x #s(literal 8 binary32)) x #s(literal -10/3 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 x) 2))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #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 (* -2 x)))))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(/ 5/81 (pow x 3))
(/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 5/81 (* -4/9 x)) (pow x 3))
(/.f32 (fma.f32 #s(literal -4/9 binary32) x #s(literal 5/81 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 5/81 (* x (- (* -1/3 x) 4/9))) (pow x 3))
(/.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -4/9 binary32)) x #s(literal 5/81 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ (+ 5/81 (* x (- (* x (- (* 1/2 (* x (log 3))) 1/3)) 4/9))) (pow x 3))
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (log.f32 #s(literal 3 binary32)) x) #s(literal 1/2 binary32) #s(literal -1/3 binary32)) x #s(literal -4/9 binary32)) x #s(literal 5/81 binary32)) (pow.f32 x #s(literal 3 binary32)))
(/ 5/81 (pow x 3))
(/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))
(/ 5/81 (pow x 3))
(/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))
(/ 5/81 (pow x 3))
(/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))
(/ 5/81 (pow x 3))
(/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow x 3)
(pow.f32 x #s(literal 3 binary32))
(pow x 3)
(pow.f32 x #s(literal 3 binary32))
(pow x 3)
(pow.f32 x #s(literal 3 binary32))
(pow x 3)
(pow.f32 x #s(literal 3 binary32))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x)
(/ (+ 1 (* 1/2 (* x (log -1)))) x)
(/.f32 (fma.f32 (*.f32 (log.f32 #s(literal -1 binary32)) x) #s(literal 1/2 binary32) #s(literal 1 binary32)) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 (pow x 3))))
(*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) #s(literal 2 binary32))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(*.f32 #s(literal 2 binary32) (+.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) x) (pow.f32 x #s(literal 7 binary32))))
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
(*.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) #s(literal 2 binary32)) (+.f32 x (pow.f32 x #s(literal 7 binary32))))
x
(* x (+ 1 (* -5/3 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/3 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 4 x) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) x #s(literal -5/3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 4 (* -19/5 x))) 5/3))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -19/5 binary32) x #s(literal 4 binary32)) x #s(literal -5/3 binary32)) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
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(* 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 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 x))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ -2 (pow x 2))
(/.f32 (/.f32 #s(literal -2 binary32) x) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 2 binary32) x)) x)
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 2 binary32) x)) x)
(* 1/2 (log 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
(log 3)
(log.f32 #s(literal 3 binary32))
(- (log 3) (* 2/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x))
2
#s(literal 2 binary32)
(- 2 (* 2 (/ 1 x)))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x))
2
#s(literal 2 binary32)
(- 2 (* 2 (/ 1 x)))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))
(+ 2 (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) x))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) x)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x))
(* 1/2 (log 3))
(*.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32))
(- (* 1/2 (log 3)) (* 1/3 (/ 1 x)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) x))
(+ (* -1 (/ (+ 1/3 (* 4/9 (/ 1 x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 4/9 binary32) x)) x))
(+ (* -1 (/ (+ 1/3 (* -1 (/ (- (* 5/81 (/ 1 x)) 4/9) x))) x)) (* 1/2 (log 3)))
(fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x))
(log 3)
(log.f32 #s(literal 3 binary32))
(- (log 3) (* 2/3 (/ 1 x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* 8/9 (/ 1 x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 8/9 binary32) x) #s(literal 2/3 binary32)) x))
(+ (log 3) (* -1 (/ (+ 2/3 (* -1 (/ (- (* 10/81 (/ 1 x)) 8/9) x))) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 2/3 binary32) (/.f32 (-.f32 (/.f32 #s(literal 10/81 binary32) x) #s(literal 8/9 binary32)) x)) x))
(* -1 (pow x 2))
(*.f32 (neg.f32 x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f32 (-.f32 #s(literal 1 binary32) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 (pow x 2))) 1))
(fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))

rewrite253.0ms (5.6%)

Memory

10.8MiB live, 200.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	343
0	91	335
1	407	322
2	3328	322
0	8478	318

Stop Event

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

Counts

20 → 255

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
(log1p.f32 #s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)))
#s(approx (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
(*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)
#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) #s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))))
#s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32))))
(/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
(fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(log.f32 #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) x)
(neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ ( (- 1 x) x) 1) #s(literal 1 binary32)))))
(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))))
(.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32)))
(.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))))
(log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
#s(approx (+ (* (- 1 x) x) 1) #s(literal 1 binary32))

Outputs
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eval140.0ms (3.1%)

Memory: 4.1MiB live, 111.8MiB allocated
Compiler: Compiled 10 248 to 1 728 computations (83.1% saved)

prune193.0ms (4.2%)

Memory

-30.5MiB live, 46.4MiB allocated

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	563	10	573
Fresh	1	6	7
Picked	3	2	5
Done	0	6	6
Total	567	24	591

Accuracy

99.4%

Counts

591 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.6%	(.f32 (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x))) #s(literal 1/2 binary32))
	97.0%	(.f32 (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32))
	16.4%	(.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (neg.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))))
	13.0%	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)))))))
	23.0%	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))))))
✓	10.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))))
	11.3%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) (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))))) #s(literal 1 binary32)))))
	36.5%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 x x x) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(approx ( 2 (/ x (- 1 (pow x 3)))) (.f32 x #s(literal 2 binary32)))) (-.f32 (pow.f32 (.f32 (.f32 (fma.f32 x x x) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 2 binary32)) (pow.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 x #s(literal 2 binary32))) #s(literal 2 binary32)))))))
	90.5%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (neg (+ ( (- 1 x) x) 1)) #s(literal -1 binary32)))))
	90.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(approx (+ ( (- 1 x) x) 1) #s(literal 1 binary32)))))
	96.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) x)) #s(approx (+ ( (- 1 x) x) 1) #s(literal 1 binary32)))))
✓	96.6%	(.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)) x))))
✓	96.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) x))))
	5.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x)))))
	97.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
✓	94.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
	12.5%	(.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32))))
✓	97.0%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 (/ ( 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x)))
✓	7.8%	(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))))
✓	7.8%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x)))
	7.6%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)))
✓	9.0%	#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)))
	3.5%	#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) x)) (/.f32 #s(literal 1/3 binary32) x)))
	6.0%	#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) #s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (.f32 (.f32 x x) x))))

Compiler

Compiled 1 017 to 488 computations (52% saved)

regimes95.0ms (2.1%)

Memory

-4.8MiB live, 42.1MiB allocated

Accuracy

Total -30.7b remaining (-3204.3%)

Threshold costs -30.7b (-3204.3%)

Counts

37 → 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)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(approx (+ (* (log -1) 1/2) (/ 1 x)) (/.f32 #s(literal 1 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) #s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (.f32 (.f32 x x) x))))
(.f32 #s(literal 1/2 binary32) #s(approx (log (+ 1 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))))) (log.f32 #s(literal 3 binary32))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 #s(literal 2 binary32) x))))
#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) #s(approx (+ (* (log 3) 1/2) (/ (- (/ (- (/ 5/81 x) 4/9) x) 1/3) x)) (/.f32 #s(literal 5/81 binary32) (pow.f32 x #s(literal 3 binary32)))))
(.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 (log1p.f32 #s(approx (/ ( 2 x) (- 1 x)) (*.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) x))) #s(literal 1/2 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 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 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 ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
(.f32 (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal -2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) x)) #s(approx (+ ( (- 1 x) x) 1) #s(literal 1 binary32)))))
#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) #s(literal 1/3 binary32)) x)))
(.f32 #s(literal 1/2 binary32) (log1p.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) x)) x)))))
#s(approx (* 1/2 (log (+ 1 (* (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1)))))) (-.f32 (fma.f32 (log.f32 #s(literal 3 binary32)) #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/81 binary32) x) #s(literal 4/9 binary32)) x) x)) (/.f32 #s(literal 1/3 binary32) x)))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(approx (+ ( (- 1 x) x) 1) #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(approx (neg (+ ( (- 1 x) x) 1)) #s(literal -1 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 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)))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) #s(approx (+ ( (- 1 x) x) 1) #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (*.f32 x #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 x (-.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (neg.f32 (*.f32 (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32))))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) x) (neg.f32 x) #s(literal -1 binary32)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (.f32 #s(literal 2 binary32) x)) (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))))) #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) (pow.f32 x #s(literal 3 binary32))))) (fma.f32 x x x) (.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 #s(literal 2 binary32) x)) #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx ( (/ (* x 2) (+ -1 (pow x 3))) (neg (+ (* (- 1 x) x) 1))) (*.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x)) #s(literal 2 binary32)))))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) x))))))
(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.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) (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 (.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 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))))) #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (+.f32 (log1p.f32 (neg.f32 (.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32)) #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 x x x) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(approx ( 2 (/ x (- 1 (pow x 3)))) (.f32 x #s(literal 2 binary32)))) (-.f32 (pow.f32 (.f32 (.f32 (fma.f32 x x x) #s(literal 2 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) #s(literal 2 binary32)) (pow.f32 #s(approx ( 2 (/ x (- 1 (pow x 3)))) (*.f32 x #s(literal 2 binary32))) #s(literal 2 binary32)))))))

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

Calls

4 calls:

64.0ms	x
10.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.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)))
10.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Results

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

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify94.0ms (2.1%)

Memory

9.0MiB live, 46.1MiB allocated

Algorithm

1×	egg-herbie

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))

soundness220.0ms (4.8%)

Memory

-5.0MiB live, 70.8MiB allocated

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)

preprocess128.0ms (2.8%)

Memory: 5.5MiB live, 51.0MiB 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%)

analyze2.0ms (0%)

sample478.0ms (10.5%)

explain90.0ms (2%)

preprocess20.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.2%)

localize27.0ms (0.6%)

series9.0ms (0.2%)

simplify146.0ms (3.2%)

rewrite129.0ms (2.8%)

eval22.0ms (0.5%)

prune95.0ms (2.1%)

simplify168.0ms (3.7%)

localize135.0ms (3%)

series44.0ms (1%)

simplify191.0ms (4.2%)

rewrite205.0ms (4.5%)

eval129.0ms (2.8%)

prune55.0ms (1.2%)

simplify125.0ms (2.8%)

localize170.0ms (3.7%)

series26.0ms (0.6%)

simplify171.0ms (3.8%)

rewrite185.0ms (4.1%)

eval130.0ms (2.9%)

prune28.0ms (0.6%)

simplify162.0ms (3.6%)

localize266.0ms (5.8%)

series19.0ms (0.4%)

simplify188.0ms (4.1%)

rewrite253.0ms (5.6%)

eval140.0ms (3.1%)

prune193.0ms (4.2%)

regimes95.0ms (2.1%)

simplify94.0ms (2.1%)

soundness220.0ms (4.8%)

preprocess128.0ms (2.8%)

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