Metrics for Rust f32::acosh

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample465.0ms (6.5%)

Memory

29.7MiB live, 698.9MiB allocated

Samples

318.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-acosh: 116.0ms (69.9% of total)

ival->=: 40.0ms (24.1% of total)

exact: 7.0ms (4.2% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain132.0ms (1.9%)

Memory

-52.4MiB live, 167.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
3	-	-	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
0	-	-	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`
0	-	-	`(*.f32 x x)`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f32`	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	133	0
↳	`(*.f32 x x)`	overflow	133
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	133
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	3	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	3
↳	`(*.f32 x x)`	overflow	133
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	133

Confusion

	Predicted +	Predicted -
+	133	0
-	0	123

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	0	0	123

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	123
1	130
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 112 to 32 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log: 6.0ms (30.4% of total)

ival-mult: 4.0ms (20.3% of total)

ival-sqrt: 4.0ms (20.3% of total)

ival-sub: 3.0ms (15.2% of total)

ival-add: 2.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess406.0ms (5.7%)

Memory

5.5MiB live, 199.0MiB 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	7	9
0	12	9
1	21	9
2	25	9
3	40	9
4	71	9
5	132	9
6	292	9
7	572	9
8	2045	9
9	3155	9
10	4433	9
11	5106	9
12	5408	9
13	5593	9
14	5695	9
15	6014	9
16	6560	9
17	7671	9
0	8091	8

Stop Event

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

Calls

Call 1

Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Outputs
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.8%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	51.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify440.0ms (6.2%)

Memory

-1.8MiB live, 276.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 x x #s(literal -1 binary32))
cost-diff	0	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
cost-diff	0	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
cost-diff	0	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
cost-diff	0	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
cost-diff	0	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
cost-diff	64	(-.f32 (*.f32 x x) #s(literal 1 binary32))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
0	21	55
1	31	55
2	34	55
3	49	55
4	80	55
5	141	55
6	301	55
7	580	55
8	2081	55
9	3190	55
10	4452	55
11	5139	55
12	5441	55
13	5626	55
14	5728	55
15	6047	55
16	6593	55
17	7704	55
0	8124	55

Stop Event

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

Calls

Call 1

Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
x
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
x
#s(literal -1 binary32)

Outputs
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
x
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
x
#s(literal -1 binary32)

localize72.0ms (1%)

Memory

24.5MiB live, 62.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
accuracy	0.35460309228959985	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
accuracy	14.411975973000969	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	31.368984851529806	(fma.f32 x x #s(literal -1 binary32))
accuracy	0	(*.f32 x x)
accuracy	0.02734375	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	0.35460309228959985	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	14.411975973000969	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

63.0ms

256×

valid

Compiler

Compiled 124 to 26 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-log: 46.0ms (82.2% of total)

ival-add: 3.0ms (5.4% of total)

ival-sqrt: 3.0ms (5.4% of total)

ival-mult: 2.0ms (3.6% of total)

ival-sub: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series92.0ms (1.3%)

Memory

-10.3MiB live, 27.9MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())
#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
86.0ms	x	@	-inf	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (* x x))
2.0ms	x	@	0	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (* x x))
2.0ms	x	@	inf	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (* x x))

Time

Variable

Point

Expression

86.0ms

-inf

((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (* x x))

2.0ms

((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (* x x))

2.0ms

inf

((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (* x x))

simplify365.0ms (5.1%)

Memory

22.2MiB live, 146.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	1154
1	411	1102
2	1146	1088
3	3331	1012
4	7980	1012
0	8533	954

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
#s(literal -1 binary32)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(sqrt.f32 #s(literal -1 binary32))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (fma.f32 (.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32)))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(sqrt.f32 #s(literal -1 binary32))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (fma.f32 (.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 1/8 binary32) (.f32 x x) #s(literal 1/2 binary32)))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32)))
#s(literal -1 binary32)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(*.f32 #s(literal 2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x))
x
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(*.f32 #s(literal 2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal -1/2 binary32) x))
x
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
(fma.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(*.f32 x x)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32))))
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/2 binary32) x))
(neg.f32 x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 3 binary32))))
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/2 binary32) x))
(neg.f32 x)
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(*.f32 x x)
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)

rewrite306.0ms (4.3%)

Memory

-28.5MiB live, 127.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
0	21	51
1	84	51
2	505	51
3	6338	51
0	8260	51

Stop Event

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

Counts

9 → 698

Calls

Call 1

Inputs
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(fma.f32 x x #s(literal -1 binary32))
(*.f32 x x)

Outputs
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eval131.0ms (1.8%)

Memory: 6.5MiB live, 125.5MiB allocated
Compiler: Compiled 20 805 to 2 119 computations (89.8% saved)

prune34.0ms (0.5%)

Memory

-3.0MiB live, 36.9MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	801	5	806
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	801	7	808

Accuracy

100.0%

Counts

808 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.3%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	97.8%	(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))
▶	96.3%	(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) x) x))
✓	51.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	0.6%	(log.f32 #s(approx (+ (sqrt (+ (* x x) -1)) x) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
▶	97.9%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
▶	96.6%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))

Compiler

Compiled 173 to 131 computations (24.3% saved)

simplify198.0ms (2.8%)

Memory

28.0MiB live, 214.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f32 #s(literal 2 binary32))
cost-diff	0	(log.f32 x)
cost-diff	0	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
cost-diff	0	(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
cost-diff	0	#s(approx (sqrt (+ (* x x) -1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
cost-diff	0	(+.f32 #s(approx (sqrt (+ (* x x) -1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
cost-diff	0	(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))
cost-diff	0	(/.f32 #s(literal -1/2 binary32) x)
cost-diff	0	(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
cost-diff	0	#s(approx (+ (sqrt (+ (* x x) -1)) x) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
cost-diff	0	(log.f32 #s(approx (+ (sqrt (+ (* x x) -1)) x) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
cost-diff	0	#s(approx (sqrt (+ (* x x) -1)) x)
cost-diff	0	(+.f32 #s(approx (sqrt (+ (* x x) -1)) x) x)
cost-diff	0	(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) x) x))
cost-diff	0	(log.f32 x)
cost-diff	0	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
cost-diff	0	(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	202
0	47	202
1	66	202
2	96	202
3	152	202
4	242	202
5	446	202
6	888	202
7	1554	202
8	3405	202
9	5259	202
10	6267	202
11	6802	202
12	7062	202
13	7280	202
14	7798	202
0	8024	192

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (1.8%)

Memory

-0.2MiB live, 207.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(log.f32 x)
accuracy	0	(log.f32 #s(literal 2 binary32))
accuracy	0.26953125	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
accuracy	0.8347545160859243	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
accuracy	0	(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
accuracy	0.02734375	(+.f32 #s(approx (sqrt (+ (* x x) -1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x)
accuracy	0.35460309228959985	(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))
accuracy	0.45868320602982054	#s(approx (sqrt (+ (* x x) -1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
accuracy	0	(/.f32 #s(literal -1/2 binary32) x)
accuracy	0.35460309228959985	(log.f32 #s(approx (+ (sqrt (+ (* x x) -1)) x) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
accuracy	0.41125471680398185	#s(approx (+ (sqrt (+ (* x x) -1)) x) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
accuracy	30.078437278819823	(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
accuracy	0.02734375	(+.f32 #s(approx (sqrt (+ (* x x) -1)) x) x)
accuracy	0.35460309228959985	(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) x) x))
accuracy	1.0842566971282275	#s(approx (sqrt (+ (* x x) -1)) x)
accuracy	0.015625	(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
accuracy	0.26953125	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
accuracy	0.387031158574498	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
accuracy	0.8424221726727902	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))

Samples

106.0ms

256×

valid

Compiler

Compiled 351 to 54 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-div: 58.0ms (61.3% of total)

ival-sub: 16.0ms (16.9% of total)

ival-log: 8.0ms (8.5% of total)

ival-add: 6.0ms (6.3% of total)

ival-mult: 3.0ms (3.2% of total)

ival-sqrt: 2.0ms (2.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series89.0ms (1.2%)

Memory

7.6MiB live, 169.8MiB allocated

Counts

18 → 204

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
47.0ms	x	@	0	((log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (- x (/ 1/2 x)) (log (+ (sqrt (+ (* x x) -1)) x)) (log 2) (/ 1/4 (* x x)))
21.0ms	x	@	-inf	((log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (- x (/ 1/2 x)) (log (+ (sqrt (+ (* x x) -1)) x)) (log 2) (/ 1/4 (* x x)))
15.0ms	x	@	inf	((log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (- x (/ 1/2 x)) (log (+ (sqrt (+ (* x x) -1)) x)) (log 2) (/ 1/4 (* x x)))

Time

Variable

Point

Expression

47.0ms

((log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (- x (/ 1/2 x)) (log (+ (sqrt (+ (* x x) -1)) x)) (log 2) (/ 1/4 (* x x)))

21.0ms

-inf

((log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (- x (/ 1/2 x)) (log (+ (sqrt (+ (* x x) -1)) x)) (log 2) (/ 1/4 (* x x)))

15.0ms

inf

((log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (+ (log x) (log 2)) (log x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (- x (/ 1/2 x)) (log (+ (sqrt (+ (* x x) -1)) x)) (log 2) (/ 1/4 (* x x)))

simplify267.0ms (3.7%)

Memory

-28.4MiB live, 205.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	2301
1	469	2211
2	1316	2143
3	3829	2075
0	8325	2012

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(/ -1/4 (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(log x)
(log x)
(log x)
(log x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))

Outputs
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
(log.f32 x)
(log.f32 x)
(log.f32 x)
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(sqrt.f32 #s(literal -1 binary32))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (fma.f32 (.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal 1/16 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(/.f32 #s(literal -1/2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(sqrt.f32 #s(literal -1 binary32))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) (fma.f32 (.f32 x x) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal 1/16 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32))))
(/.f32 #s(literal -1/2 binary32) x)
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 x)
(log.f32 x)
(log.f32 x)
(log.f32 x)
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(*.f32 #s(literal 2 binary32) x)
(.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32)) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(.f32 (-.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
x
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
(fma.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x x)
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(*.f32 #s(literal 2 binary32) x)
(.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32)) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(.f32 (-.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
(*.f32 #s(literal 2 binary32) x)
(.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32)) x)
(.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32)) x)
(.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32)) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(*.f32 #s(literal 2 binary32) x)
(.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32)) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(.f32 (-.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
x
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(-.f32 x (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
(fma.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x x)
x
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32)))
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32)))
(+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32)))
(+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32)))
(+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) x))
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/2 binary32) x))
(neg.f32 x)
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x (neg.f32 x))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)
(.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) x)
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) x))
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32)) x)
(.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32)) x)
(.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal -2 binary32)) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) x))
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/2 binary32) x))
(neg.f32 x)
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x (neg.f32 x))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)
(.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) x)
x
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))

rewrite236.0ms (3.3%)

Memory

12.1MiB live, 329.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	176
0	47	172
1	180	172
2	1542	172
0	8208	160

Stop Event

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

Counts

18 → 480

Calls

Call 1

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

Outputs
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#<batchref>

eval72.0ms (1%)

Memory: 15.4MiB live, 173.6MiB allocated
Compiler: Compiled 22 669 to 2 154 computations (90.5% saved)

prune15.0ms (0.2%)

Memory

-15.8MiB live, 60.4MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	742	3	745
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	744	8	752

Accuracy

100.0%

Counts

752 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.7%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	97.8%	(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))
✓	96.3%	(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) x) x))
✓	51.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	97.8%	(log.f32 #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
✓	96.6%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
▶	97.3%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
▶	5.3%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Compiler

Compiled 117 to 88 computations (24.8% saved)

simplify270.0ms (3.8%)

Memory

-8.6MiB live, 240.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	#s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)))
cost-diff	0	(log.f32 #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
cost-diff	64	(-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) x)
cost-diff	0	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
cost-diff	0	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
cost-diff	0	(*.f32 x x)
cost-diff	0	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
cost-diff	0	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	132
0	36	132
1	57	132
2	88	132
3	140	132
4	225	132
5	364	132
6	770	132
7	1260	132
8	2808	132
9	4434	132
10	5445	132
11	5890	132
12	6005	132
13	6108	132
14	6433	132
15	7906	132
0	8012	125

Stop Event

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

Calls

Call 1

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

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

localize51.0ms (0.7%)

Memory

24.8MiB live, 102.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))
accuracy	0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.35460309228959985	(log.f32 #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
accuracy	0.41125471680398185	#s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)))
accuracy	0	(/.f32 #s(literal 1/2 binary32) x)
accuracy	0	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
accuracy	0.015625	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
accuracy	0.8347545160859243	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
accuracy	0	(*.f32 x x)
accuracy	0.387031158574498	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
accuracy	0.8424221726727902	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
accuracy	30.307699513106094	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))

Samples

38.0ms

256×

valid

Compiler

Compiled 220 to 53 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-log: 10.0ms (34.4% of total)

ival-div: 6.0ms (20.6% of total)

ival-add: 3.0ms (10.3% of total)

ival-mult: 3.0ms (10.3% of total)

ival-sub: 2.0ms (6.9% of total)

ival-sqrt: 2.0ms (6.9% of total)

exact: 1.0ms (3.4% of total)

ival-neg: 1.0ms (3.4% of total)

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

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

series68.0ms (1%)

Memory

-4.3MiB live, 114.7MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (log.f32 #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) #<representation binary32>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

34.0ms

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

18.0ms

-inf

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

13.0ms

inf

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

simplify120.0ms (1.7%)

Memory

12.7MiB live, 164.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	1319
1	403	1257
2	1084	1219
3	3028	1167
4	7044	1167
0	8052	1138

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(/ -1/4 (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

Outputs
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 3/40 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 x x) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 3/40 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 x x) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 3/40 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 x x) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(sqrt.f32 #s(literal -1 binary32))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(fma.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(*.f32 #s(literal 2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(fma.f32 (-.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32))) #s(literal -2 binary32)) x (/.f32 #s(literal -1/2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32)))
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(-.f32 (neg.f32 (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(-.f32 (neg.f32 (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(-.f32 (neg.f32 (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(-.f32 (neg.f32 (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal 1/2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(+.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal -1/2 binary32) x))
(-.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1/2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)
(*.f32 #s(literal 2 binary32) x)

rewrite221.0ms (3.1%)

Memory

-9.8MiB live, 267.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	122
0	36	120
1	145	118
2	1234	118
0	8421	109

Stop Event

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

Counts

12 → 281

Calls

Call 1

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

Outputs
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eval38.0ms (0.5%)

Memory: 29.9MiB live, 103.9MiB allocated
Compiler: Compiled 11 754 to 1 322 computations (88.8% saved)

prune34.0ms (0.5%)

Memory

-6.5MiB live, 38.0MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	454	3	457
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	454	11	465

Accuracy

100.0%

Counts

465 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.5%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	97.8%	(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))
✓	96.3%	(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) x) x))
✓	51.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.8%	(log.f32 #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
✓	96.6%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
✓	97.3%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
▶	5.3%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
▶	5.3%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))))
✓	5.3%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
▶	5.3%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))

Compiler

Compiled 202 to 149 computations (26.2% saved)

simplify222.0ms (3.1%)

Memory

-27.3MiB live, 244.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 #s(literal -1/4 binary32) x)
cost-diff	0	(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
cost-diff	0	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
cost-diff	0	(*.f32 x x)
cost-diff	0	(.f32 #s(literal -4 binary32) (.f32 x x))
cost-diff	0	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x))))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))))
cost-diff	0	(/.f32 #s(literal 1 binary32) x)
cost-diff	0	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
cost-diff	160	(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	184
0	38	190
1	62	172
2	96	172
3	166	172
4	268	172
5	436	172
6	838	172
7	1334	172
8	2898	172
9	4469	172
10	5744	172
11	6436	172
12	6574	172
13	6770	172
14	7245	172
0	8177	169

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(/.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x))))
(/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))
#s(literal 1 binary32)
(.f32 #s(literal -4 binary32) (.f32 x x))
#s(literal -4 binary32)
(*.f32 x x)
x
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
x

Outputs
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(/.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(/.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
#s(literal 1 binary32)
(.f32 (.f32 x x) #s(literal -4 binary32))
#s(literal -4 binary32)
(*.f32 x x)
x
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) x)
#s(literal -1/4 binary32)
x

localize55.0ms (0.8%)

Memory

25.0MiB live, 106.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(/.f32 #s(literal -1/4 binary32) x)
accuracy	0.125	(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
accuracy	0.387031158574498	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
accuracy	30.307699513106094	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
accuracy	0	(.f32 #s(literal -4 binary32) (.f32 x x))
accuracy	0.387031158574498	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))))
accuracy	1.2257521065472894	(/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))
accuracy	30.307699513106094	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x))))
accuracy	0	(/.f32 #s(literal -1/4 binary32) x)
accuracy	0.234375	(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
accuracy	0.387031158574498	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
accuracy	30.307699513106094	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))

Samples

41.0ms

256×

valid

Compiler

Compiled 290 to 55 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 8.0ms (27.6% of total)

ival-log: 7.0ms (24.1% of total)

ival-mult: 5.0ms (17.2% of total)

ival-add: 4.0ms (13.8% of total)

ival-sqrt: 3.0ms (10.3% of total)

ival-sub: 1.0ms (3.4% of total)

exact: 1.0ms (3.4% of total)

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

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

series20.0ms (0.3%)

Memory

3.9MiB live, 41.7MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 #s(literal -4 binary32) (.f32 x x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 (/.f32 #s(literal -1/4 binary32) x) x) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 #s(literal -1/4 binary32) x) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x))) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f32 #s(literal -4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f32 #s(literal -4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f32 #s(literal -4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f32 #s(literal -4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f32 x x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 (/.f32 #s(literal -1/4 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 (/.f32 #s(literal -1/4 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 (/.f32 #s(literal -1/4 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 (/.f32 #s(literal -1/4 binary32) x) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/4 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/4 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/4 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal -1/4 binary32) x) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x))) #<representation binary32>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

((* (/ 1 x) (/ -1/4 x)) (log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 1 x) (log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (* -4 (* x x)) (* x x) (log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ (/ -1/4 x) x) (/ -1/4 x) (/ 1 (* -4 (* x x))))

5.0ms

-inf

((* (/ 1 x) (/ -1/4 x)) (log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 1 x) (log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (* -4 (* x x)) (* x x) (log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ (/ -1/4 x) x) (/ -1/4 x) (/ 1 (* -4 (* x x))))

3.0ms

((* (/ 1 x) (/ -1/4 x)) (log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ 1 x) (log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (* -4 (* x x)) (* x x) (log (+ (sqrt (+ (* x x) -1)) x)) (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/ (/ -1/4 x) x) (/ -1/4 x) (/ 1 (* -4 (* x x))))

simplify163.0ms (2.3%)

Memory

-3.4MiB live, 190.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1428
1	215	1374
2	586	1323
3	1434	1275
4	3576	1275
5	6061	1251
0	8090	1239

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(/ -1/4 (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(/ -1/4 (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(/ -1/4 (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))

Outputs
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) x #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 3/40 binary32)) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) x) x #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) x)
(/.f32 #s(literal 1 binary32) x)
(/.f32 #s(literal 1 binary32) x)
(/.f32 #s(literal 1 binary32) x)
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) x #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 3/40 binary32)) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) x) x #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(.f32 (.f32 #s(literal -4 binary32) x) x)
(.f32 (.f32 #s(literal -4 binary32) x) x)
(.f32 (.f32 #s(literal -4 binary32) x) x)
(.f32 (.f32 #s(literal -4 binary32) x) x)
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) x #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(fma.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 3/40 binary32)) (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) x) x #s(literal 1 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) x)
(/.f32 #s(literal -1/4 binary32) x)
(/.f32 #s(literal -1/4 binary32) x)
(/.f32 #s(literal -1/4 binary32) x)
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal -1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal -3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) x)
(/.f32 #s(literal 1 binary32) x)
(/.f32 #s(literal 1 binary32) x)
(/.f32 #s(literal 1 binary32) x)
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal -1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal -3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(.f32 (.f32 #s(literal -4 binary32) x) x)
(.f32 (.f32 #s(literal -4 binary32) x) x)
(.f32 (.f32 #s(literal -4 binary32) x) x)
(.f32 (.f32 #s(literal -4 binary32) x) x)
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal -1/4 binary32)) x) x))
(-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal -3/32 binary32)) (pow.f32 x #s(literal 4 binary32))) (log.f32 x)))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) x)
(/.f32 #s(literal -1/4 binary32) x)
(/.f32 #s(literal -1/4 binary32) x)
(/.f32 #s(literal -1/4 binary32) x)
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(-.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 (neg.f32 x)))
(-.f32 (+.f32 (-.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (log.f32 (neg.f32 x))) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (+.f32 (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (log.f32 (neg.f32 x))) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal 2 binary32))) (log.f32 #s(literal -1 binary32)))
(-.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 2 binary32))))
(-.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 2 binary32))))
(-.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) x)
(/.f32 #s(literal 1 binary32) x)
(/.f32 #s(literal 1 binary32) x)
(/.f32 #s(literal 1 binary32) x)
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(-.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 (neg.f32 x)))
(-.f32 (+.f32 (-.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (log.f32 (neg.f32 x))) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (+.f32 (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (log.f32 (neg.f32 x))) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal 2 binary32))) (log.f32 #s(literal -1 binary32)))
(-.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 2 binary32))))
(-.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 2 binary32))))
(-.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 2 binary32))))
(.f32 (.f32 #s(literal -4 binary32) x) x)
(.f32 (.f32 #s(literal -4 binary32) x) x)
(.f32 (.f32 #s(literal -4 binary32) x) x)
(.f32 (.f32 #s(literal -4 binary32) x) x)
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(*.f32 x x)
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(-.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (log.f32 (neg.f32 x)))
(-.f32 (+.f32 (-.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (log.f32 (neg.f32 x))) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(-.f32 (+.f32 (+.f32 (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (log.f32 (neg.f32 x))) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal 2 binary32))) (log.f32 #s(literal -1 binary32)))
(-.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 2 binary32))))
(-.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 2 binary32))))
(-.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 2 binary32))))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) x)
(/.f32 #s(literal -1/4 binary32) x)
(/.f32 #s(literal -1/4 binary32) x)
(/.f32 #s(literal -1/4 binary32) x)
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))

rewrite150.0ms (2.1%)

Memory

7.2MiB live, 244.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	173
0	38	155
1	145	155
2	1062	155
0	8180	146

Stop Event

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

Counts

13 → 275

Calls

Call 1

Inputs
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))
(/.f32 #s(literal 1 binary32) x)
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x))))
(.f32 #s(literal -4 binary32) (.f32 x x))
(*.f32 x x)
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) x)
(/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))

Outputs
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eval34.0ms (0.5%)

Memory: 7.0MiB live, 81.9MiB allocated
Compiler: Compiled 14 102 to 767 computations (94.6% saved)

prune45.0ms (0.6%)

Memory

-17.0MiB live, 69.7MiB allocated

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	457	2	459
Fresh	0	0	0
Picked	0	3	3
Done	0	8	8
Total	457	13	470

Accuracy

100.0%

Counts

470 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.6%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	97.8%	(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))
✓	96.3%	(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) x) x))
✓	51.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.8%	(log.f32 #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
✓	96.6%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
✓	97.3%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
✓	5.3%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
	5.3%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))))
	5.3%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) x)) x))))
✓	5.3%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))))
✓	5.3%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
✓	5.3%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))

Compiler

Compiled 561 to 273 computations (51.3% saved)

regimes31.0ms (0.4%)

Memory

-3.1MiB live, 35.6MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))

Calls

3 calls:

21.0ms	x
5.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
5.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.9%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes14.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
4.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
4.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.8%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes47.0ms (0.7%)

Memory

-20.8MiB live, 17.5MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
4.0ms	x
3.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.8%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes10.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
3.0ms	x
3.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes30.0ms (0.4%)

Memory

-31.4MiB live, 30.2MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) x)) x))))
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) x) x))

Outputs
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) x) x))

Calls

3 calls:

24.0ms	x
3.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
3.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
96.3%	1	`x`
96.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
96.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) x)) x))))

Outputs

#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) x)) x))))

Calls

3 calls:

3.0ms	x
2.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
5.3%	1	`x`
5.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes32.0ms (0.4%)

Memory

-26.0MiB live, 13.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))))

Outputs
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))))

Calls

3 calls:

27.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms	x
2.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
5.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
5.3%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Outputs
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Calls

3 calls:

1.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
1.0ms	x
1.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
5.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
5.3%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify47.0ms (0.7%)

Memory

4.1MiB live, 43.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	166
1	69	166
2	86	166
3	101	166
4	111	166
5	115	166

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(log.f32 #s(approx (+ (sqrt (+ (* x x) -1)) x) (-.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) x))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) -1)) x) x))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 1 binary32) x)) x))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -4 binary32) (.f32 x x)))))
#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

soundness1.9s (26.8%)

Memory

14.2MiB live, 648.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	122
0	36	120
1	145	118
2	1234	118
0	8421	109
0	173	2301
1	469	2211
2	1316	2143
3	3829	2075
0	8325	2012
0	7	9
0	12	9
1	21	9
2	25	9
3	40	9
4	71	9
5	132	9
6	292	9
7	572	9
8	2045	9
9	3155	9
10	4433	9
11	5106	9
12	5408	9
13	5593	9
14	5695	9
15	6014	9
16	6560	9
17	7671	9
0	8091	8
0	30	173
0	38	155
1	145	155
2	1062	155
0	8180	146
0	31	176
0	47	172
1	180	172
2	1542	172
0	8208	160
0	150	1154
1	411	1102
2	1146	1088
3	3331	1012
4	7980	1012
0	8533	954

Stop Event

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

Compiler

Compiled 548 to 304 computations (44.5% saved)

preprocess64.0ms (0.9%)

Memory: 11.3MiB live, 127.0MiB allocated
Compiler: Compiled 374 to 142 computations (62% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample465.0ms (6.5%)

explain132.0ms (1.9%)

preprocess406.0ms (5.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify440.0ms (6.2%)

localize72.0ms (1%)

series92.0ms (1.3%)

simplify365.0ms (5.1%)

rewrite306.0ms (4.3%)

eval131.0ms (1.8%)

prune34.0ms (0.5%)

simplify198.0ms (2.8%)

localize129.0ms (1.8%)

series89.0ms (1.2%)

simplify267.0ms (3.7%)

rewrite236.0ms (3.3%)

eval72.0ms (1%)

prune15.0ms (0.2%)

simplify270.0ms (3.8%)

localize51.0ms (0.7%)

series68.0ms (1%)

simplify120.0ms (1.7%)

rewrite221.0ms (3.1%)

eval38.0ms (0.5%)

prune34.0ms (0.5%)

simplify222.0ms (3.1%)

localize55.0ms (0.8%)

series20.0ms (0.3%)

simplify163.0ms (2.3%)

rewrite150.0ms (2.1%)

eval34.0ms (0.5%)

prune45.0ms (0.6%)

regimes31.0ms (0.4%)

regimes14.0ms (0.2%)

regimes47.0ms (0.7%)

regimes10.0ms (0.1%)

regimes30.0ms (0.4%)

regimes8.0ms (0.1%)

regimes32.0ms (0.4%)

regimes4.0ms (0.1%)

simplify47.0ms (0.7%)

soundness1.9s (26.8%)

preprocess64.0ms (0.9%)

end0.0ms (0%)

Profiling