Metrics for Rust f32::acosh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample473.0ms (6.3%)

Memory

10.7MiB live, 805.4MiB allocated

Samples

315.0ms

8 256×

valid

Precisions

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

ival-acosh: 124.0ms (76.1% of total)

ival->=: 29.0ms (17.8% of total)

exact: 7.0ms (4.3% of total)

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

Bogosity

explain99.0ms (1.3%)

Memory

17.9MiB live, 175.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
114	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
1	-	-	`(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	114	0
↳	`(*.f32 x x)`	overflow	114
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	114
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	1	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	1
↳	`(*.f32 x x)`	overflow	114
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	114

Confusion

	Predicted +	Predicted -
+	114	0
-	0	142

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	114	0	0
-	0	0	142

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	142
1	113
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

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

ival-log: 5.0ms (27.8% of total)

ival-mult: 4.0ms (22.2% of total)

ival-sqrt: 3.0ms (16.7% of total)

ival-sub: 2.0ms (11.1% of total)

ival-add: 2.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess339.0ms (4.6%)

Memory

-32.3MiB live, 286.2MiB allocated

Algorithm

1×	egg-herbie

Rules

29 894×	`lower-fma.f64`
29 894×	`lower-fma.f32`
4 210×	`lower-*.f64`
4 208×	`lower-*.f32`
2 884×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	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 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify264.0ms (3.5%)

Memory

5.9MiB live, 318.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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))

Rules

29 894×	`lower-fma.f64`
29 894×	`lower-fma.f32`
4 210×	`lower-*.f64`
4 208×	`lower-*.f32`
2 884×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	21	33
2	25	33
3	40	33
4	71	33
5	132	33
6	292	33
7	572	33
8	2045	33
9	3155	33
10	4433	33
11	5106	33
12	5408	33
13	5593	33
14	5695	33
15	6014	33
16	6560	33
17	7671	33
0	8091	29

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)

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

localize269.0ms (3.6%)

Memory

5.4MiB live, 44.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.02734375	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	0.14424254371267614	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	12.213003734654402	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

14.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

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

ival-log: 3.0ms (33.9% of total)

ival-mult: 2.0ms (22.6% of total)

ival-sqrt: 2.0ms (22.6% of total)

ival-sub: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#s(alt -1 (taylor 0 x) (#s(alt (-.f32 (.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (-.f32 (.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (-.f32 (.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (-.f32 (.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (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))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (-.f32 (.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f32 (.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f32 (.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f32 (.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (taylor inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (- 2 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) (taylor inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (- 1 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f32 (.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f32 (.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f32 (.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f32 (.f32 x x) #s(literal 1 binary32)) (patch (-.f32 (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) (taylor -inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) (taylor -inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) (taylor -inf x) (#s(alt (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify227.0ms (3%)

Memory

6.7MiB live, 253.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 204×	`lower-fma.f64`
10 204×	`lower-fma.f32`
3 650×	`lower-*.f64`
3 650×	`lower-*.f32`
2 854×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	559
1	411	533
2	1146	526
3	3331	488
4	7979	488
0	8531	459

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

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))))))
(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)))))
(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))))))

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

rewrite155.0ms (2.1%)

Memory

4.7MiB live, 235.5MiB allocated

Rules

4 994×	`lower-fma.f64`
4 994×	`lower-fma.f32`
3 230×	`lower-*.f64`
3 228×	`lower-*.f32`
2 612×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	49	28
2	322	28
3	3626	28
0	8646	24

Stop Event

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

Counts

4 → 320

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)))

Outputs
(expm1.f32 (.f32 (log.f32 (.f32 x x)) #s(literal 1 binary32)))
(expm1.f32 (log.f32 (*.f32 x x)))
(.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (.f32 x x)))))
(*.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))))
(*.f32 (exp.f32 (log1p.f32 x)) (exp.f32 (log.f32 (-.f32 x #s(literal 1 binary32)))))
(*.f32 (exp.f32 (log.f32 (-.f32 x #s(literal 1 binary32)))) (exp.f32 (log1p.f32 x)))
(.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 x x)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 8 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (/.f32 (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 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))
(*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 x #s(literal 1 binary32)))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (*.f32 x x)))))
(*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))
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(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(-.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)))) (fma.f32 x x (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 (/.f32 (.f32 x x) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (.f32 x x))) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1/2 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x)
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 #s(literal 1 binary32) x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 x (/.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(fma.f32 x #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(pow.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal -1 binary32))
(+.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(neg.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 4 binary32)) #s(literal 1/8 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))

eval87.0ms (1.2%)

Memory: -20.8MiB live, 59.4MiB allocated
Compiler: Compiled 8 015 to 1 574 computations (80.4% saved)

prune9.0ms (0.1%)

Memory

30.3MiB live, 30.3MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	359	8	367
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	359	9	368

Accuracy

100.0%

Counts

368 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
✓	58.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	58.3%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))))
	42.2%	(log.f32 (+.f32 x (sqrt.f32 (fabs.f32 (fma.f32 x x #s(literal -1 binary32))))))
▶	98.0%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
	-0.0%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
▶	96.4%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
▶	97.5%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
	96.0%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))

Compiler

Compiled 153 to 125 computations (18.3% saved)

simplify234.0ms (3.1%)

Memory

-10.7MiB live, 185.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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 (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
cost-diff	0	(sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))
cost-diff	0	(+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))))
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))))
cost-diff	160	(*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))
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 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
cost-diff	0	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
cost-diff	0	(*.f32 #s(literal 2 binary32) x)
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
cost-diff	0	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
cost-diff	0	(sqrt.f32 (-.f32 x #s(literal 1 binary32)))
cost-diff	0	(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
cost-diff	0	(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
cost-diff	64	(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))

Rules

13 678×	`lower-fma.f64`
13 678×	`lower-fma.f32`
2 670×	`lower-*.f64`
2 662×	`lower-*.f32`
2 540×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	225
0	59	217
1	91	217
2	138	217
3	212	217
4	393	217
5	805	217
6	2091	217
7	3828	217
8	5258	217
9	6173	217
10	6523	217
11	6775	217
12	6965	217
13	7474	217
14	7799	217
0	8089	205

Stop Event

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

Calls

Call 1

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

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

localize85.0ms (1.1%)

Memory

-11.7MiB live, 106.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
accuracy	0.25390625	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
accuracy	0.5403013823288432	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
accuracy	0.7249511013582765	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
accuracy	0.01953125	(*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))
accuracy	0.02734375	(+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))))
accuracy	0.14424254371267614	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))))
accuracy	12.213003734654402	(sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))
accuracy	0.00390625	(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
accuracy	0.02734375	(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
accuracy	0.14424254371267614	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
accuracy	0.6156144477660538	#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
accuracy	0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.14424254371267614	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
accuracy	1.1926599013161008	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
accuracy	0.015625	(sqrt.f32 (+.f32 #s(literal 1 binary32) x))
accuracy	0.02734375	(+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
accuracy	0.14424254371267614	(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
accuracy	0.42578125	(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))

Samples

65.0ms

256×

valid

Compiler

Compiled 189 to 31 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 16.0ms (30.4% of total)

ival-log: 15.0ms (28.5% of total)

ival-add: 6.0ms (11.4% of total)

ival-sqrt: 6.0ms (11.4% of total)

ival-sub: 5.0ms (9.5% of total)

ival-div: 4.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

series97.0ms (1.3%)

Memory

21.7MiB live, 176.6MiB allocated

Counts

21 → 252

Calls

Call 1

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

Outputs
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) (patch (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) (patch (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) (patch (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) (patch (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) (patch (log.f32 (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) (patch (log.f32 (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) (patch (log.f32 (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (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))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) (patch (log.f32 (+.f32 x (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (patch (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) (taylor 0 x) (#s(alt (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (patch (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (patch (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 x) (#s(alt (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (patch (.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (patch (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 #s(literal 2 binary32) x))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 #s(literal 2 binary32) x))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 #s(literal 2 binary32) x))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (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))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 #s(literal 2 binary32) x))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 #s(literal 2 binary32) x)) (patch #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 #s(literal 2 binary32) x)) (patch #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 #s(literal 2 binary32) x)) (patch #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 #s(literal 2 binary32) x)) (patch #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (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))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
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#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
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#s(alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (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 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (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 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (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 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (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 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (patch (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (patch (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (patch (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (patch (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 x) (patch (log.f32 x) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 x) (patch (log.f32 x) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 x) (patch (log.f32 x) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 x) (patch (log.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (patch (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (patch (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (patch (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (patch (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

46.0ms

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

27.0ms

-inf

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

14.0ms

inf

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

simplify473.0ms (6.3%)

Memory

-115.3MiB live, 239.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 966×	`lower-fma.f64`
12 966×	`lower-fma.f32`
4 360×	`lower-+.f64`
4 360×	`lower-+.f32`
3 640×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	3369
1	970	2885
2	3160	2804
0	8340	2664

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 247

Calls

Call 1

Inputs
(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))))))))
(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)
(+ (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))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (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))))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 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)
-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)))))
(/ -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)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (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)))))
(+ (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))))
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)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(+ (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 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)))))
(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))))
(+ (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)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 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)
(+ (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)))
(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 (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 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))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))

Outputs
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(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)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 x #s(literal 1/8 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
(+ (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)))))
(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 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 (.f32 x #s(literal 1/8 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32)))
(+ (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))))))
(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))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32)))
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
(+ (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)))))
(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 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(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)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 x #s(literal 1/8 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
(+ (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)))))
(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 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(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)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 x #s(literal 1/8 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 (.f32 x #s(literal 1/8 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32)))
(+ (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))))))
(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))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (pow x 2) 1/2) x)
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(/ (- (pow x 2) 1/2) x)
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(/ (- (pow x 2) 1/2) x)
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
-1
#s(literal -1 binary32)
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
(+ (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)))))
(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 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(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)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 x #s(literal 1/8 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 (.f32 x #s(literal 1/8 binary32)) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32)))
(+ (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))))))
(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 (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
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x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
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(fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x)
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(-.f32 (.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)) (.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
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(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
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(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal 1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) (neg.f32 x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))

rewrite190.0ms (2.5%)

Memory

4.9MiB live, 249.8MiB allocated

Rules

4 952×	`lower-*.f64`
4 944×	`lower-*.f32`
4 238×	`lower-/.f64`
4 234×	`lower-/.f32`
2 634×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	194
0	59	174
1	209	174
2	1550	174
0	8295	159

Stop Event

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

Counts

21 → 773

Calls

Call 1

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

Outputs
(.f32 (-.f32 (.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))))) (neg.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))))
(/.f32 (-.f32 (.f32 (.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) (.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (+.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (.f32 x x) (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (.f32 x x) (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))))
(-.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(fma.f32 (sqrt.f32 (sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x)))) (sqrt.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) x)
(fma.f32 (sqrt.f32 (sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) x)
(fma.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x)
(fma.f32 (sqrt.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (sqrt.f32 (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))))) x)
(fma.f32 (sqrt.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (fma.f32 x x #s(literal -1 binary32))))) x)
(fma.f32 (pow.f32 (sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) x)
(fma.f32 (pow.f32 (sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) x)
(fma.f32 (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x)
(fma.f32 (pow.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x)
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) x)
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) x)
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/2 binary32)) x)
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
(fma.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x)
(fma.f32 #s(literal 1 binary32) x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 x #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(pow.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(-.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (.f32 x x) (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))))
(+.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))))
(neg.f32 (log.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))))))
(neg.f32 (log.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))))
(.f32 (sqrt.f32 (sqrt.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x)))) (sqrt.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (sqrt.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x))))
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x))) (sqrt.f32 (sqrt.f32 (.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))))))
(.f32 (sqrt.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (.f32 (+.f32 #s(literal 1 binary32) x) (fma.f32 x x #s(literal -1 binary32))))))
(.f32 (pow.f32 (sqrt.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (sqrt.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (.f32 (-.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (.f32 (+.f32 #s(literal 1 binary32) x) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 x #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (sqrt.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))) (hypot.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x))
(/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (hypot.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) x))
(/.f32 (sqrt.f32 (.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) x)))
(/.f32 (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 (-.f32 x #s(literal 1 binary32)) (.f32 (-.f32 x #s(literal 1 binary32)) x))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) #s(literal 2 binary32)) (.f32 (-.f32 x #s(literal 1 binary32)) (.f32 (-.f32 x #s(literal 1 binary32)) x))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
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(/.f32 (/.f32 #s(literal -1/2 binary32) x) (neg.f32 (*.f32 #s(literal 2 binary32) x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (/.f32 #s(literal 1/4 binary32) x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 x x) #s(literal 4 binary32))))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (.f32 x (.f32 #s(literal 2 binary32) x))))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (.f32 (.f32 #s(literal 2 binary32) x) x)))
(/.f32 #s(literal -1/2 binary32) (.f32 (neg.f32 x) (.f32 #s(literal 2 binary32) x)))
(/.f32 #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) x) (neg.f32 x)))
(/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (*.f32 (neg.f32 x) x))))
(/.f32 #s(literal -1/4 binary32) (*.f32 (neg.f32 x) x))
(/.f32 #s(literal 1/4 binary32) (neg.f32 (*.f32 (neg.f32 x) x)))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (.f32 (neg.f32 x) (.f32 #s(literal 2 binary32) x))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (.f32 (.f32 #s(literal 2 binary32) x) (neg.f32 x))))
(/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 #s(literal 2 binary32) x)))
(/.f32 #s(literal 1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) x) x))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (.f32 (.f32 x x) #s(literal 4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/4 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 4 binary32)))
(pow.f32 (/.f32 x (/.f32 #s(literal 1/4 binary32) x)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 2 binary32))
(pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal -2 binary32))
(pow.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 x x) #s(literal 4 binary32))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)))
(neg.f32 (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32))))

eval324.0ms (4.3%)

Memory: 8.2MiB live, 162.0MiB allocated
Compiler: Compiled 23 728 to 3 474 computations (85.4% saved)

prune68.0ms (0.9%)

Memory

-14.0MiB live, 60.7MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 015	5	1 020
Fresh	3	0	3
Picked	2	3	5
Done	0	1	1
Total	1 020	9	1 029

Accuracy

100.0%

Counts

1 029 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
✓	58.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	58.3%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))))
▶	96.4%	(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
✓	98.0%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
▶	43.7%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
▶	98.3%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
▶	97.9%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
▶	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Compiler

Compiled 127 to 103 computations (18.9% saved)

simplify255.0ms (3.4%)

Memory

29.2MiB live, 180.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

13 344×	`lower-fma.f64`
13 344×	`lower-fma.f32`
3 092×	`lower-*.f64`
3 088×	`lower-*.f32`
2 492×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	263
0	62	263
1	91	263
2	132	261
3	218	261
4	344	261
5	713	261
6	1419	261
7	3480	261
8	5160	261
9	6267	261
10	6799	261
11	6985	261
12	7075	261
13	7362	261
0	8250	255

Stop Event

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

Calls

Call 1

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

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

localize173.0ms (2.3%)

Memory

-36.5MiB live, 179.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
accuracy	0.11689879371267614	(log.f32 (*.f32 #s(literal 2 binary32) x))
accuracy	0.5403013823288432	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
accuracy	0.7249511013582765	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
accuracy	0.02734375	(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))
accuracy	0.14424254371267614	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
accuracy	0.6156144477660538	#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))
accuracy	30.98240447538658	#s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))
accuracy	0.02734375	(+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))
accuracy	0.14424254371267614	(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
accuracy	1.3054955796003611	#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)
accuracy	0	(*.f32 x x)
accuracy	0.5403013823288432	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
accuracy	0.7249511013582765	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
accuracy	30.34693328854585	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
accuracy	0.0078125	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
accuracy	0.0234375	(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
accuracy	0.5403013823288432	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
accuracy	0.7249511013582765	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))

Samples

150.0ms

256×

valid

Compiler

Compiled 178 to 36 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-log: 78.0ms (56.9% of total)

ival-div: 36.0ms (26.2% of total)

ival-sub: 7.0ms (5.1% of total)

ival-add: 5.0ms (3.6% of total)

ival-mult: 5.0ms (3.6% of total)

ival-sqrt: 5.0ms (3.6% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series129.0ms (1.7%)

Memory

28.1MiB live, 219.4MiB allocated

Counts

20 → 240

Calls

Call 1

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

Outputs
#s(alt (/ -1/4 (pow x 2)) (taylor 0 x) (#s(alt (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (patch (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 1/4) (pow x 2)) (taylor 0 x) (#s(alt (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (patch (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 1/4) (pow x 2)) (taylor 0 x) (#s(alt (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (patch (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 1/4) (pow x 2)) (taylor 0 x) (#s(alt (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (patch (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt (+ (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))))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ (log 1/2) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ (log 1/2) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ (log 1/2) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ (log 1/2) (* -1 (log x)))) (taylor 0 x) (#s(alt (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (patch (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log 1/2) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f32 (/.f32 #s(literal 1/2 binary32) x)) (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (+ (log 1/2) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f32 (/.f32 #s(literal 1/2 binary32) x)) (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (+ (log 1/2) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f32 (/.f32 #s(literal 1/2 binary32) x)) (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (+ (log 1/2) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f32 (/.f32 #s(literal 1/2 binary32) x)) (patch (log.f32 (/.f32 #s(literal 1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt (+ (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))))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt (/ -1/4 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 ( x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 ( x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 ( x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 ( x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (/ -1/4 (pow x 2)) (taylor 0 x) (#s(alt (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/4 (pow x 2)) (taylor 0 x) (#s(alt (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/4 (pow x 2)) (taylor 0 x) (#s(alt (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/4 (pow x 2)) (taylor 0 x) (#s(alt (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (patch (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (patch (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (patch (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #<representation binary32>) () ())) ())
#s(alt (+ (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))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (patch (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (patch (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) #<representation binary32>) () ())) ())
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (patch (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (patch (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (patch (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (patch #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) (taylor 0 x) (#s(alt #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (patch #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (patch #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #<representation binary32>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 x) (#s(alt #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (patch #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (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))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) (taylor 0 x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) (patch #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (/ (- (pow x 2) 1/2) x) (taylor 0 x) (#s(alt #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) (patch #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (/ (- (pow x 2) 1/2) x) (taylor 0 x) (#s(alt #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) (patch #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (/ (- (pow x 2) 1/2) x) (taylor 0 x) (#s(alt #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) (patch #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) #<representation binary32>) () ())) ())
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#s(alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (patch (log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (pow (sqrt -1) 2) 1))) (taylor -inf x) (#s(alt (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (patch (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) (taylor -inf x) (#s(alt (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (patch (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (patch (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (patch (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (patch #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (patch #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (patch #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (patch #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) (taylor -inf x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) (taylor -inf x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) (taylor -inf x) (#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) (patch #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) (patch #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) (patch #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) (patch #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -2) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (patch (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (patch (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (patch (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (patch (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (+ (log -2) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) x)) (patch (log.f32 (.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (+ (log -2) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) x)) (patch (log.f32 (.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (+ (log -2) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) x)) (patch (log.f32 (.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (+ (log -2) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) x)) (patch (log.f32 (.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 #s(literal 2 binary32) x) (patch (.f32 #s(literal 2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (patch (/.f32 #s(literal 1/4 binary32) (.f32 x x)) #<representation binary32>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

60.0ms

-inf

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

42.0ms

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

19.0ms

inf

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

simplify267.0ms (3.6%)

Memory

-17.7MiB live, 270.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 386×	`lower-fma.f64`
13 386×	`lower-fma.f32`
5 898×	`lower-*.f64`
5 898×	`lower-*.f32`
2 798×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	2783
1	744	2430
2	2319	2329
0	8332	2257

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 236

Calls

Call 1

Inputs
(/ -1/4 (pow x 2))
(/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 1/4) (pow x 2))
(/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 1/4) (pow x 2))
(/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 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 (+ (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)))
(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)))))
(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))))))
(/ -1/2 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))
(/ (- (* (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))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 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 (/ (+ 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)))
(+ (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))))
(* 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)))))
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))))
(+ (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))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 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 (+ (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)))
(+ (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 (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 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))))))
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)))))))
(+ (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))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))

Outputs
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 1/4) (pow x 2))
(fma.f32 (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 1/4) (pow x 2))
(fma.f32 (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(/ (- (* -1 (* (pow x 2) (+ (log 1/2) (* -1 (log x))))) 1/4) (pow x 2))
(fma.f32 (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(+ (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)))))
(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)))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(* -1 (+ (log 1/2) (* -1 (log x))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(* -1 (+ (log 1/2) (* -1 (log x))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(* -1 (+ (log 1/2) (* -1 (log x))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(+ (log 1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(+ (log 1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(+ (log 1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(+ (log 1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(+ (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)))))
(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)))))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(fma.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(fma.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(fma.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(+ (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)))))
(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 -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(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)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32)))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/8 binary32) x) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32)))
(+ (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))))))
(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 (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
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(+.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)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.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)))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(-.f32 (neg.f32 (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(-.f32 (neg.f32 (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(-.f32 (neg.f32 (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(-.f32 (neg.f32 (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.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)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.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)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.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)))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+.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 -2 binary32)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(fma.f32 (+.f32 #s(literal -15 binary32) (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) (/.f32 #s(literal 1/720 binary32) (pow.f32 x #s(literal 6 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 -2 binary32))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(*.f32 #s(literal 2 binary32) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) x))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(-.f32 (.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)) (.f32 (-.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (pow.f32 x #s(literal 6 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(fma.f32 x (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
(fma.f32 (neg.f32 x) (/.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x)))
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.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)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.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)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.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)))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) 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))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32))) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(neg.f32 (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 (fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x)))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x)
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.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)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.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)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.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)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))

rewrite204.0ms (2.7%)

Memory

27.6MiB live, 218.6MiB allocated

Rules

5 936×	`lower-fma.f64`
5 936×	`lower-fma.f32`
4 738×	`lower-/.f64`
4 730×	`lower-/.f32`
3 034×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	235
0	62	233
1	243	221
2	1846	221
0	8304	206

Stop Event

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

Counts

20 → 525

Calls

Call 1

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

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

eval137.0ms (1.8%)

Memory: -32.2MiB live, 83.5MiB allocated
Compiler: Compiled 17 869 to 2 067 computations (88.4% saved)

prune43.0ms (0.6%)

Memory

26.3MiB live, 64.0MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	890	5	895
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	891	13	904

Accuracy

100.0%

Counts

904 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.2%	(log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
✓	99.6%	(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
✓	58.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	58.3%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))))
✓	96.4%	(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
✓	98.0%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	98.3%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
✓	97.9%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
▶	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
▶	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
▶	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
✓	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
▶	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 158 to 132 computations (16.5% saved)

simplify234.0ms (3.1%)

Memory

-2.4MiB live, 122.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 x)
cost-diff	0	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
cost-diff	448	(/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) 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 (+ x (sqrt (- (* x x) 1)))) #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))
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 (+ x (sqrt (- (* x x) 1)))) #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 (.f32 x x) #s(literal -4 binary32))
cost-diff	0	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
cost-diff	0	#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)
cost-diff	0	(log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
cost-diff	96	(fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))

Rules

11 102×	`lower-fma.f64`
11 100×	`lower-fma.f32`
2 450×	`lower-*.f64`
2 444×	`lower-*.f32`
2 432×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	298
0	57	298
1	96	274
2	192	274
3	357	274
4	627	274
5	966	274
6	1447	274
7	3149	274
8	5218	274
9	6909	274
10	7955	274
0	8039	270

Stop Event

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

Calls

Call 1

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

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

localize230.0ms (3.1%)

Memory

-21.7MiB live, 138.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))
accuracy	0.5403013823288432	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
accuracy	0.959469291600685	(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))
accuracy	30.34693328854585	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))
accuracy	0	(/.f32 #s(literal -1/4 binary32) x)
accuracy	0.2864837890737681	(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
accuracy	0.5403013823288432	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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	30.34693328854585	#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	0	(/.f32 #s(literal -1/4 binary32) x)
accuracy	0.12890625	(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
accuracy	0.5403013823288432	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
accuracy	30.34693328854585	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))
accuracy	0	(*.f32 x x)
accuracy	0.5403013823288432	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
accuracy	0.959469291600685	(/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))
accuracy	30.34693328854585	#s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))
accuracy	0.14424254371267614	(log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
accuracy	1.3054955796003611	#s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)
accuracy	29.98561072830435	(fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))

Samples

125.0ms

256×

valid

Compiler

Compiled 186 to 36 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-sqrt: 62.0ms (55.4% of total)

ival-div: 24.0ms (21.5% of total)

ival-log: 9.0ms (8% of total)

ival-mult: 8.0ms (7.2% of total)

ival-add: 5.0ms (4.5% of total)

ival-sub: 3.0ms (2.7% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series76.0ms (1%)

Memory

-1.5MiB live, 35.2MiB allocated

Counts

21 → 252

Calls

Call 1

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

Outputs
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (patch (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) #<representation binary32>) () ())) ())
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (patch (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (patch (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) (patch (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (patch (log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (patch (log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (patch (log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #<representation binary32>) () ())) ())
#s(alt (+ (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))))) (taylor 0 x) (#s(alt (log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) (patch (log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (patch #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) (taylor 0 x) (#s(alt #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (patch #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (patch #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #<representation binary32>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 x) (#s(alt #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) (patch #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (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))))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))))) #<representation binary32>) () ())) ())
#s(alt (/ -1/4 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))) (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))) (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))) (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))) (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor 0 x) (#s(alt (.f32 (.f32 x x) #s(literal -4 binary32)) (patch (.f32 (.f32 x x) #s(literal -4 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor 0 x) (#s(alt (.f32 (.f32 x x) #s(literal -4 binary32)) (patch (.f32 (.f32 x x) #s(literal -4 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor 0 x) (#s(alt (.f32 (.f32 x x) #s(literal -4 binary32)) (patch (.f32 (.f32 x x) #s(literal -4 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor 0 x) (#s(alt (.f32 (.f32 x x) #s(literal -4 binary32)) (patch (.f32 (.f32 x x) #s(literal -4 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f32 x x) (patch (.f32 x x) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x))) #<representation binary32>) () ())) ())
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#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) #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 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x)))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) #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 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))) (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 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))) (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 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))) (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 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))) (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 (/ 1 x) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) x) (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) x) (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) x) (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) x) (patch (/.f32 #s(literal 1 binary32) x) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)) (patch (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)) (patch (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)) (patch (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (* -4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)) (patch (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))) (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))) (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))) (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))) (patch #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ())
#s(alt (/ -1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))) (patch (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ -1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))) (patch (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ -1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))) (patch (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ -1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))) (patch (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ -1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (/ -1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (/ -1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (/ -1/4 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x))) #<representation binary32>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

-inf

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

6.0ms

inf

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

4.0ms

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

simplify375.0ms (5%)

Memory

30.5MiB live, 186.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 128×	`lower-fma.f64`
11 128×	`lower-fma.f32`
4 704×	`lower-*.f64`
4 704×	`lower-*.f32`
2 642×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	2617
1	605	2360
2	1891	2285
3	6600	2215
0	8313	2178

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 251

Calls

Call 1

Inputs
(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))))))))
(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)
(+ (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)))))
(/ -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))
(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)
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -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)
(/ -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))
(* 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)))))
(+ (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))))
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))))
(+ (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))
(+ (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)
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -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)
(/ -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))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 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))))
(* -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))
(+ (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)
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -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)
(/ -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))

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

rewrite310.0ms (4.2%)

Memory

-0.6MiB live, 185.1MiB allocated

Rules

5 024×	`lower-*.f64`
5 018×	`lower-*.f32`
4 212×	`lower-/.f64`
4 200×	`lower-/.f32`
2 198×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	279
0	57	260
1	227	238
2	1560	238
0	8110	223

Stop Event

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

Counts

21 → 512

Calls

Call 1

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

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

eval111.0ms (1.5%)

Memory: 1.0MiB live, 115.9MiB allocated
Compiler: Compiled 9 342 to 1 318 computations (85.9% saved)

prune85.0ms (1.1%)

Memory

-7.5MiB live, 160.1MiB allocated

Pruning

17 alts after pruning (5 fresh and 12 done)

	Pruned	Kept	Total
New	792	5	797
Fresh	0	0	0
Picked	1	4	5
Done	0	8	8
Total	793	17	810

Accuracy

100.0%

Counts

810 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	20.2%	(log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
✓	99.6%	(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
✓	58.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	58.3%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))))
✓	96.4%	(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
✓	98.0%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	98.3%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
✓	97.9%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
✓	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x)) (/.f32 #s(literal 1/4 binary32) x)))))
	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))
	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1/4 binary32))))))
	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))))
	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
✓	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
✓	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
✓	5.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 436 to 262 computations (39.9% saved)

regimes32.0ms (0.4%)

Memory

31.1MiB live, 70.5MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x)) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1/4 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
(log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(log.f32 (+.f32 x (sqrt.f32 (fabs.f32 (fma.f32 x x #s(literal -1 binary32))))))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
(log.f32 (+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))

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

Calls

3 calls:

17.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
7.0ms	x
7.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.6%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes49.0ms (0.7%)

Memory

-18.4MiB live, 61.7MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x)) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1/4 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
(log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(log.f32 (+.f32 x (sqrt.f32 (fabs.f32 (fma.f32 x x #s(literal -1 binary32))))))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
(log.f32 (+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))

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

Calls

3 calls:

8.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
6.0ms	x
6.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes141.0ms (1.9%)

Memory

1.7MiB live, 38.6MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x)) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1/4 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
(log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(log.f32 (+.f32 x (sqrt.f32 (fabs.f32 (fma.f32 x x #s(literal -1 binary32))))))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
(log.f32 (+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))))

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

Calls

3 calls:

128.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
6.0ms	x
6.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.0%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes27.0ms (0.4%)

Memory

-7.7MiB live, 28.8MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x)) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1/4 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
(log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))

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

Calls

3 calls:

17.0ms	x
5.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
5.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
96.4%	1	`x`
96.4%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
96.4%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes13.0ms (0.2%)

Memory

-5.3MiB live, 32.1MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x)) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1/4 binary32))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))

Outputs

#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
5.2%	1	`x`
5.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.2%	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

26.3MiB live, 26.3MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (neg.f32 x) x) (+.f32 #s(literal 0 binary32) x)) (/.f32 #s(literal 1/4 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (/.f32 #s(literal 1/4 binary32) x) (.f32 x x))) (*.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1/4 binary32))))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
5.2%	1	`x`
5.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.2%	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

-25.5MiB live, 22.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
2.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms	x

Results

Accuracy	Segments	Branch
5.2%	1	`x`
5.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.2%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
5.2%	1	`x`
5.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
5.2%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify29.0ms (0.4%)

Memory

-14.5MiB live, 62.6MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`neg-mul-1-binary32-*.f32-neg.f32`
42×	`-commutative-binary32-.f32`
40×	`unsub-neg-binary32--.f32-neg.f32-+.f32`
40×	`+-commutative-binary32-+.f32`
28×	`sub-neg-binary32-neg.f32-+.f32--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	194
1	93	194
2	123	194
3	150	194
4	188	194
5	245	194
6	253	194

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
(log.f32 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Outputs
(log.f32 (+.f32 x (*.f32 (sqrt.f32 (-.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) x)))))
(log.f32 (+.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) (sqrt.f32 (-.f32 x #s(literal 1 binary32)))) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (/.f32 (neg.f32 #s(literal 1/4 binary32)) (*.f32 x x)) (log.f32 (/.f32 #s(literal 1/2 binary32) x))))
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 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 (+.f32 x #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x)))
(log.f32 (+.f32 #s(approx (* (sqrt (- x 1)) (sqrt (+ 1 x))) x) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) x) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal 1/4 binary32) x)) (.f32 (/.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/4 binary32) x) x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (sqrt (- (* x x) 1)))) #s(approx (- (+ (log x) (log 2)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

soundness942.0ms (12.7%)

Memory

24.0MiB live, 873.7MiB allocated

Rules

12 966×	`lower-fma.f64`
12 966×	`lower-fma.f32`
10 204×	`lower-fma.f64`
10 204×	`lower-fma.f32`
5 936×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	3369
1	970	2885
2	3160	2804
0	8340	2664
0	7	28
0	12	28
1	49	28
2	322	28
3	3626	28
0	8646	24
0	36	194
0	59	174
1	209	174
2	1550	174
0	8295	159
0	43	279
0	57	260
1	227	238
2	1560	238
0	8110	223
0	46	235
0	62	233
1	243	221
2	1846	221
0	8304	206
0	150	559
1	411	533
2	1146	526
3	3331	488
4	7979	488
0	8531	459

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×	iter limit
1×	node limit

Compiler

Compiled 242 to 175 computations (27.7% saved)

preprocess164.0ms (2.2%)

Memory: -22.8MiB live, 189.8MiB allocated
Compiler: Compiled 222 to 132 computations (40.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample473.0ms (6.3%)

explain99.0ms (1.3%)

preprocess339.0ms (4.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify264.0ms (3.5%)

localize269.0ms (3.6%)

series5.0ms (0.1%)

simplify227.0ms (3%)

rewrite155.0ms (2.1%)

eval87.0ms (1.2%)

prune9.0ms (0.1%)

simplify234.0ms (3.1%)

localize85.0ms (1.1%)

series97.0ms (1.3%)

simplify473.0ms (6.3%)

rewrite190.0ms (2.5%)

eval324.0ms (4.3%)

prune68.0ms (0.9%)

simplify255.0ms (3.4%)

localize173.0ms (2.3%)

series129.0ms (1.7%)

simplify267.0ms (3.6%)

rewrite204.0ms (2.7%)

eval137.0ms (1.8%)

prune43.0ms (0.6%)

simplify234.0ms (3.1%)

localize230.0ms (3.1%)

series76.0ms (1%)

simplify375.0ms (5%)

rewrite310.0ms (4.2%)

eval111.0ms (1.5%)

prune85.0ms (1.1%)

regimes32.0ms (0.4%)

regimes49.0ms (0.7%)

regimes141.0ms (1.9%)

regimes27.0ms (0.4%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

simplify29.0ms (0.4%)

soundness942.0ms (12.7%)

preprocess164.0ms (2.2%)

end0.0ms (0%)

Profiling