Metrics for Rust f32::acosh

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

-37.1MiB live, 0.9MiB 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)

sample507.0ms (7.4%)

Memory

53.7MiB live, 837.3MiB allocated

Samples

339.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-acosh: 109.0ms (72.3% of total)

ival->=: 31.0ms (20.6% of total)

exact: 8.0ms (5.3% of total)

ival-assert: 4.0ms (2.7% of total)

Bogosity

explain115.0ms (1.7%)

Memory

-20.2MiB live, 179.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
2	-	-	`(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	119	0
↳	`(*.f32 x x)`	overflow	119
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	119
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	2	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	2
↳	`(*.f32 x x)`	overflow	119
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	119

Confusion

	Predicted +	Predicted -
+	119	0
-	0	137

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	0	0	137

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	137
1	117
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-log: 8.0ms (37.1% of total)

ival-mult: 4.0ms (18.6% of total)

ival-sqrt: 4.0ms (18.6% of total)

ival-sub: 3.0ms (13.9% of total)

ival-add: 2.0ms (9.3% of total)

ival-true: 1.0ms (4.6% of total)

exact: 0.0ms (0% of total)

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

preprocess330.0ms (4.8%)

Memory

5.0MiB live, 243.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	7	9
0	12	9
1	21	9
2	25	9
3	40	9
4	71	9
5	132	9
6	292	9
7	572	9
8	2045	9
9	3155	9
10	4433	9
11	5106	9
12	5408	9
13	5593	9
14	5695	9
15	6014	9
16	6560	9
17	7671	9
0	8091	8

Stop Event

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

Calls

Call 1

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

Outputs
(log.f32 (+.f32 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: 0.4MiB live, 0.4MiB 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
▶	56.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify271.0ms (3.9%)

Memory

19.5MiB live, 252.8MiB 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))

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)

localize25.0ms (0.4%)

Memory

-34.9MiB live, 50.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.0234375	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	0.24161051403729966	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	12.812179139436887	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

17.0ms

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 (33.1% of total)

ival-mult: 2.0ms (22% of total)

ival-sqrt: 2.0ms (22% of total)

ival-sub: 1.0ms (11% of total)

ival-add: 1.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB 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
2.0ms	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

2.0ms

((- (* 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)))

simplify225.0ms (3.3%)

Memory

0.4MiB live, 282.8MiB allocated

Algorithm

1×	egg-herbie

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))

rewrite213.0ms (3.1%)

Memory

-7.5MiB live, 188.7MiB allocated

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
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#<batchref>

eval51.0ms (0.7%)

Memory: 5.2MiB live, 82.0MiB allocated
Compiler: Compiled 8 015 to 1 574 computations (80.4% saved)

prune55.0ms (0.8%)

Memory

-12.8MiB live, 31.9MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	360	7	367
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	360	8	368

Accuracy

100.0%

Counts

368 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.8%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
	19.0%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1 binary32) (.f32 x x)))))))))
✓	56.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	56.5%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))))
▶	98.0%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
▶	0.6%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
▶	96.8%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
	96.8%	#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)

simplify406.0ms (5.9%)

Memory

16.1MiB live, 212.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	194
0	51	175
1	77	175
2	105	175
3	157	175
4	304	175
5	686	175
6	1982	175
7	4177	175
8	5700	175
9	6507	175
10	6972	175
11	7228	175
12	7384	175
0	8096	175

Stop Event

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

Calls

Call 1

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

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

localize222.0ms (3.2%)

Memory

12.1MiB live, 134.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))
accuracy	0.0234375	(+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x))))
accuracy	0.24161051403729966	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))))
accuracy	12.812179139436887	(sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))
accuracy	0.0234375	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
accuracy	0.24161051403729966	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
accuracy	12.812179139436887	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	31.432563932355528	(fma.f32 x x #s(literal -1 binary32))
accuracy	0	(/.f32 #s(literal -1/2 binary32) x)
accuracy	0.24161051403729966	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))))
accuracy	0.3900701472880866	#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x)))
accuracy	30.070833032316862	(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
accuracy	0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.24161051403729966	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x)))
accuracy	0.9031965875166201	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
accuracy	0.0078125	(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
accuracy	0.0234375	(+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
accuracy	0.24161051403729966	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
accuracy	0.43782168342575467	#s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))

Samples

205.0ms

256×

valid

Compiler

Compiled 161 to 28 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-log: 89.0ms (78.1% of total)

ival-add: 7.0ms (6.1% of total)

ival-mult: 5.0ms (4.4% of total)

ival-sqrt: 5.0ms (4.4% of total)

ival-div: 4.0ms (3.5% of total)

ival-sub: 4.0ms (3.5% of total)

exact: 1.0ms (0.9% of total)

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

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

series90.0ms (1.3%)

Memory

-11.6MiB live, 27.6MiB allocated

Counts

19 → 228

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
79.0ms	x	@	-inf	((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)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (* (- x 1) (+ 1 x)) (log (+ x (sqrt (* (- x 1) (+ 1 x))))) (+ x (sqrt (* (- x 1) (+ 1 x)))) (sqrt (* (- x 1) (+ 1 x))))
2.0ms	x	@	0	((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)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (* (- x 1) (+ 1 x)) (log (+ x (sqrt (* (- x 1) (+ 1 x))))) (+ x (sqrt (* (- x 1) (+ 1 x)))) (sqrt (* (- x 1) (+ 1 x))))
2.0ms	x	@	inf	((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)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (* (- x 1) (+ 1 x)) (log (+ x (sqrt (* (- x 1) (+ 1 x))))) (+ x (sqrt (* (- x 1) (+ 1 x)))) (sqrt (* (- x 1) (+ 1 x))))

Time

Variable

Point

Expression

79.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

simplify448.0ms (6.5%)

Memory

20.6MiB live, 213.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	2793
1	665	2518
2	2041	2415
3	7415	2412
0	8315	2290

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 223

Calls

Call 1

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

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

rewrite340.0ms (4.9%)

Memory

-3.1MiB live, 277.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	174
0	51	155
1	204	155
2	1380	155
0	8481	155

Stop Event

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

Counts

19 → 1 119

Calls

Call 1

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

Outputs
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eval224.0ms (3.3%)

Memory: 8.0MiB live, 350.9MiB allocated
Compiler: Compiled 34 777 to 4 423 computations (87.3% saved)

prune314.0ms (4.6%)

Memory

-137.8MiB live, 97.1MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 337	5	1 342
Fresh	2	0	2
Picked	3	2	5
Done	0	1	1
Total	1 342	8	1 350

Accuracy

100.0%

Counts

1 350 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.2%	(log.f32 (+.f32 (/.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)))))) x))
✓	56.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	56.5%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))))
✓	98.0%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
▶	43.8%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
▶	96.8%	(log.f32 (+.f32 x #s(approx (sqrt (* (- x 1) (+ 1 x))) x)))
▶	98.1%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))))
▶	96.8%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))

Compiler

Compiled 169 to 110 computations (34.9% saved)

simplify285.0ms (4.1%)

Memory

-39.1MiB live, 284.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f32 (+.f32 (/.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)))))) x))
cost-diff	64	(+.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))))
cost-diff	96	(+.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)))
cost-diff	3584	(-.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)))
cost-diff	0	(log.f32 #s(literal 2 binary32))
cost-diff	0	(log.f32 x)
cost-diff	0	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
cost-diff	0	#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) (+ 1 x))) x)
cost-diff	0	(+.f32 x #s(approx (sqrt (* (- x 1) (+ 1 x))) x))
cost-diff	0	(log.f32 (+.f32 x #s(approx (sqrt (* (- x 1) (+ 1 x))) x)))
cost-diff	0	(/.f32 #s(literal -1/2 binary32) x)
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))
cost-diff	0	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))))
cost-diff	64	(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	436
0	78	416
1	123	392
2	218	358
3	675	358
4	2524	358
5	6711	358
0	8147	341

Stop Event

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

Calls

Call 1

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

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

localize118.0ms (1.7%)

Memory

22.9MiB live, 218.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.355532054768707	(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))))
accuracy	7.328955512124385	(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)))))
accuracy	14.500663995264127	(-.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)))
accuracy	18.5119542010185	(/.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))))))
accuracy	0	(log.f32 x)
accuracy	0	(log.f32 #s(literal 2 binary32))
accuracy	0.2578125	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
accuracy	0.7721747807263534	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
accuracy	0.0234375	(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))
accuracy	0.24161051403729966	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
accuracy	0.43782168342575467	#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))
accuracy	30.98242829588797	#s(approx (- x (/ 1/2 x)) (/.f32 #s(literal -1/2 binary32) x))
accuracy	0.0234375	(+.f32 x #s(approx (sqrt (* (- x 1) (+ 1 x))) x))
accuracy	0.24161051403729966	(log.f32 (+.f32 x #s(approx (sqrt (* (- x 1) (+ 1 x))) x)))
accuracy	0.9977527057804807	#s(approx (sqrt (* (- x 1) (+ 1 x))) x)
accuracy	0	(*.f32 #s(literal 2 binary32) x)
accuracy	0.00390625	(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))
accuracy	0.24161051403729966	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))))
accuracy	0.3900701472880866	#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x)))

Samples

89.0ms

256×

valid

Compiler

Compiled 376 to 46 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-log: 14.0ms (19.7% of total)

ival-pow: 12.0ms (16.9% of total)

ival-add: 11.0ms (15.5% of total)

ival-div: 8.0ms (11.3% of total)

ival-mult: 8.0ms (11.3% of total)

ival-sqrt: 8.0ms (11.3% of total)

ival-sub: 5.0ms (7.1% of total)

ival-pow2: 5.0ms (7.1% of total)

exact: 1.0ms (1.4% of total)

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

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

series105.0ms (1.5%)

Memory

-3.0MiB live, 227.9MiB allocated

Counts

23 → 264

Calls

Call 1

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

Outputs
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x)) (patch (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* 2 (pow x 2)) 1/2) x) (taylor 0 x) (#s(alt (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x)) (patch (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* 2 (pow x 2)) 1/2) x) (taylor 0 x) (#s(alt (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x)) (patch (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* 2 (pow x 2)) 1/2) x) (taylor 0 x) (#s(alt (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x)) (patch (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x)) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.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 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.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 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.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 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.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 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x))) (patch #s(approx (+ x (sqrt (- ( x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.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 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x))) (patch #s(approx (+ x (sqrt (- ( x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.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 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x))) (patch #s(approx (+ x (sqrt (- ( x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.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 (/.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 2 binary32) x))) (patch #s(approx (+ x (sqrt (- ( x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (/.f32 #s(literal -1/2 binary32) x) (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (/.f32 #s(literal -1/2 binary32) x) (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (/.f32 #s(literal -1/2 binary32) x) (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (/.f32 #s(literal -1/2 binary32) x) (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())) ())
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#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 (/.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)))))) (patch (/.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)))))) #<representation binary32>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (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))))) (patch (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))))) #<representation binary32>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 3/2 (* 7/8 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (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))))) (patch (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))))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ 3/2 (* -1 (/ (- 7/8 (* 3/16 (/ 1 x))) x))) x)))) (taylor -inf x) (#s(alt (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))))) (patch (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))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 x))))) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (- 3/2 (* 3/8 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 3/2 (* -1 (/ (+ 3/8 (* 9/16 (/ 1 x))) x))) x))))) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

51.0ms

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

23.0ms

-inf

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

17.0ms

inf

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

simplify200.0ms (2.9%)

Memory

11.3MiB live, 244.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	3122
1	1285	2809
2	3881	2712
0	8173	2616

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 259

Calls

Call 1

Inputs
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(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)))))
(+ (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 x)
(* x (- (* 3 x) 1))
(* x (- (* x (+ 3 (* -3 x))) 1))
(* x (- (* x (+ 3 (* x (- x 3)))) 1))
-1
(- (* 3 x) 1)
(- (* x (+ 3 (* -3 x))) 1)
(- (* x (+ 3 (* x (- (* 3 (pow x 2)) 3)))) 1)
1
(+ 1 (* -3 x))
(+ 1 (* x (- (* 4 x) 3)))
(+ 1 (* x (- (* x (+ 4 (* -3 x))) 3)))
(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)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(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
(+ 1 (* -3/2 x))
(+ 1 (* x (- (* 7/8 x) 3/2)))
(+ 1 (* x (- (* x (+ 7/8 (* -3/16 x))) 3/2)))
(sqrt -1)
(+ (sqrt -1) (* 3/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 3/4 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 3))))) (* 3/2 (/ 1 (sqrt -1))))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+ (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))))
(+ (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)))
(pow x 4)
(* (pow x 4) (- 1 (* 3 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 3 (pow x 2))) (* 3 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 3 (pow x 2))) (+ (* 3 (/ 1 x)) (/ 1 (pow x 3)))))
(pow x 6)
(* (pow x 6) (- 1 (* 3 (/ 1 x))))
(* (pow x 6) (- (+ 1 (/ 3 (pow x 2))) (* 3 (/ 1 x))))
(* (pow x 6) (- (+ 1 (/ 3 (pow x 2))) (+ (* 3 (/ 1 x)) (* 3 (/ 1 (pow x 4))))))
(pow x 4)
(* (pow x 4) (- 1 (* 3 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 4 (pow x 2))) (* 3 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 4 (pow x 2))) (+ (* 3 (/ 1 x)) (* 3 (/ 1 (pow x 3))))))
(+ (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)
(* 2 x)
(* 2 x)
(* 2 x)
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 (* 3/2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 7/8 (pow x 2))) (* 3/2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 7/8 (pow x 2))) (+ (* 3/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 3))))))
(pow x 3)
(* (pow x 3) (- 1 (* 3/2 (/ 1 x))))
(* (pow x 3) (- (+ 1 (/ 3/8 (pow x 2))) (* 3/2 (/ 1 x))))
(* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 2)) (* 9/16 (/ 1 (pow x 3))))) (* 3/2 (/ 1 x))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (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 -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))))
(pow x 4)
(* (pow x 4) (- 1 (* 3 (/ 1 x))))
(* (pow x 4) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 x)) x))) x))))
(pow x 6)
(* (pow x 6) (- 1 (* 3 (/ 1 x))))
(* (pow x 6) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 x))) x))))
(* (pow x 6) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (* 3 (/ 1 (pow x 2)))) x))) x))))
(pow x 4)
(* (pow x 4) (- 1 (* 3 (/ 1 x))))
(* (pow x 4) (+ 1 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))) 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)))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (- 1 (* 3/2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 3/2 (* 7/8 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 3/2 (* -1 (/ (- 7/8 (* 3/16 (/ 1 x))) x))) x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- 3/2 (* 3/8 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 3/2 (* -1 (/ (+ 3/8 (* 9/16 (/ 1 x))) x))) x)))))

Outputs
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(/ (- (* 2 (pow x 2)) 1/2) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(/ (- (* 2 (pow x 2)) 1/2) x)
(fma.f32 #s(literal 2 binary32) x (/.f32 #s(literal -1/2 binary32) 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 (fma.f32 (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (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 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 3/40 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 #s(literal 1/8 binary32) (*.f32 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)))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) 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 (fma.f32 (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (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 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 3/40 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 #s(literal 1/8 binary32) (*.f32 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 #s(literal 1/8 binary32) (.f32 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 #s(literal 1/16 binary32) (.f32 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 (/.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 (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (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 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 3/40 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 #s(literal 1/8 binary32) (*.f32 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 #s(literal 1/8 binary32) (.f32 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 #s(literal 1/16 binary32) (.f32 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))
(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 (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (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 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 3/40 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)))))
(+ (log 2) (log x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (log x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (log x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (log x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(* -1 x)
(neg.f32 x)
(* x (- (* 3 x) 1))
(*.f32 (fma.f32 #s(literal 3 binary32) x #s(literal -1 binary32)) x)
(* x (- (* x (+ 3 (* -3 x))) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal -3 binary32) x #s(literal 3 binary32)) x #s(literal -1 binary32)) x)
(* x (- (* x (+ 3 (* x (- x 3)))) 1))
(*.f32 (fma.f32 (fma.f32 (-.f32 x #s(literal 3 binary32)) x #s(literal 3 binary32)) x #s(literal -1 binary32)) x)
-1
#s(literal -1 binary32)
(- (* 3 x) 1)
(fma.f32 #s(literal 3 binary32) x #s(literal -1 binary32))
(- (* x (+ 3 (* -3 x))) 1)
(fma.f32 (fma.f32 #s(literal -3 binary32) x #s(literal 3 binary32)) x #s(literal -1 binary32))
(- (* x (+ 3 (* x (- (* 3 (pow x 2)) 3)))) 1)
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 3 binary32) x) x #s(literal -3 binary32)) x #s(literal 3 binary32)) x #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -3 x))
(fma.f32 #s(literal -3 binary32) x #s(literal 1 binary32))
(+ 1 (* x (- (* 4 x) 3)))
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -3 binary32)) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ 4 (* -3 x))) 3)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -3 binary32) x #s(literal 4 binary32)) x #s(literal -3 binary32)) 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)))))
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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)))
(/ 1/2 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 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) x) x) #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)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) 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)))))))
(-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (fma.f32 (/.f32 (+.f32 #s(literal -15 binary32) (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/720 binary32) (-.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)))
(* -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)))
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) 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 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.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 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) #s(literal -1 binary32) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(neg.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32) (neg.f32 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)))))))
(.f32 (-.f32 (+.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 1 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 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 (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) x) x) #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))))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32) (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x 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 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 x) (.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) #s(literal -1 binary32) x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) #s(literal -1 binary32) x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) #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)) (* 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)))))
(+.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)))))
(+.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)))))
(+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(* (pow x 4) (- 1 (* 3 (/ 1 x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) x)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 x))) x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) x)) x)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 x)) x))) x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) x)) x)) x)) (pow.f32 x #s(literal 4 binary32)))
(pow x 6)
(pow.f32 x #s(literal 6 binary32))
(* (pow x 6) (- 1 (* 3 (/ 1 x))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) x)))
(* (pow x 6) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 x))) x))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) x)) x)))
(* (pow x 6) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (* 3 (/ 1 (pow x 2)))) x))) x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 (/.f32 #s(literal 3 binary32) x) x)) x)) x)) (pow.f32 x #s(literal 6 binary32)))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(* (pow x 4) (- 1 (* 3 (/ 1 x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) x)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 1 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 4 binary32) x)) x)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))) x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 3 binary32) x)) x)) x)) (pow.f32 x #s(literal 4 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)))
(* 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 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32) (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x 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 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 x) (.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (* 3/2 (/ 1 x))))
(*.f32 x (fma.f32 (/.f32 #s(literal -3/2 binary32) x) x x))
(* (pow x 2) (+ 1 (* -1 (/ (- 3/2 (* 7/8 (/ 1 x))) x))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 7/8 binary32) x) #s(literal -3/2 binary32)) #s(literal 1 binary32)) x (*.f32 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ 3/2 (* -1 (/ (- 7/8 (* 3/16 (/ 1 x))) x))) x))))
(fma.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 7/8 binary32) (/.f32 #s(literal 3/16 binary32) x)) x) #s(literal -3/2 binary32)) #s(literal 1 binary32)) x (*.f32 x x))
(* -1 (pow x 3))
(neg.f32 (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 x)))))
(*.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) x) #s(literal -1 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- 3/2 (* 3/8 (/ 1 x))) x)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 3/8 binary32) x)) x) #s(literal -1 binary32)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 3/2 (* -1 (/ (+ 3/8 (* 9/16 (/ 1 x))) x))) x)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 9/16 binary32) x) #s(literal 3/8 binary32)) x)) x) #s(literal -1 binary32)) (pow.f32 x #s(literal 3 binary32)))

rewrite187.0ms (2.7%)

Memory

32.8MiB live, 259.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	339
0	78	319
1	341	247
2	2691	247
0	10410	230

Stop Event

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

Counts

23 → 490

Calls

Call 1

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

Outputs
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eval134.0ms (1.9%)

Memory: -16.3MiB live, 224.8MiB allocated
Compiler: Compiled 23 090 to 3 220 computations (86.1% saved)

prune15.0ms (0.2%)

Memory

12.8MiB live, 51.1MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	778	3	781
Fresh	0	0	0
Picked	3	2	5
Done	0	3	3
Total	781	8	789

Accuracy

100.0%

Counts

789 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.4%	(log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (sqrt (- (* x x) 1)) x)))
▶	27.1%	(log.f32 (+.f32 (/.f32 #s(approx (sqrt (+ (pow (- x 1) 3) (pow (* (- x 1) x) 3))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/2 binary32) x)) (pow.f32 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)))))) x))
✓	56.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	56.5%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))))
✓	98.0%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	96.8%	(log.f32 (+.f32 x #s(approx (sqrt (* (- x 1) (+ 1 x))) x)))
✓	98.1%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))))
▶	97.6%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Compiler

Compiled 93 to 66 computations (29% saved)

simplify201.0ms (2.9%)

Memory

-1.5MiB live, 266.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (sqrt (- (* x x) 1)) x)
cost-diff	0	(log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (sqrt (- (* x x) 1)) x)))
cost-diff	96	(fma.f32 #s(literal 1 binary32) x #s(approx (sqrt (- (* x x) 1)) x))
cost-diff	0	(+.f32 (/.f32 #s(approx (sqrt (+ (pow (- x 1) 3) (pow (* (- x 1) x) 3))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/2 binary32) x)) (pow.f32 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)))))) x)
cost-diff	0	(log.f32 (+.f32 (/.f32 #s(approx (sqrt (+ (pow (- x 1) 3) (pow (* (- x 1) x) 3))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/2 binary32) x)) (pow.f32 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)))))) x))
cost-diff	3136	(+.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))))
cost-diff	3584	(-.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)))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) x)
cost-diff	0	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
cost-diff	0	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
cost-diff	0	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	356
0	65	340
1	104	316
2	230	284
3	707	284
4	2500	284
5	7186	284
0	8021	275

Stop Event

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

Calls

Call 1

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

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

localize172.0ms (2.5%)

Memory

-11.5MiB live, 188.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.24161051403729966	(log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (sqrt (- (* x x) 1)) x)))
accuracy	0.9977527057804807	#s(approx (sqrt (- (* x x) 1)) x)
accuracy	29.604432362827062	(fma.f32 #s(literal 1 binary32) x #s(approx (sqrt (- (* x x) 1)) x))
accuracy	1.1225167557621933	#s(approx (sqrt (+ (pow (- x 1) 3) (pow (* (- x 1) x) 3))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/2 binary32) x)) (pow.f32 x #s(literal 3 binary32))))
accuracy	7.328955512124385	(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)))))
accuracy	14.500663995264127	(-.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)))
accuracy	18.5119542010185	(/.f32 #s(approx (sqrt (+ (pow (- x 1) 3) (pow (* (- x 1) x) 3))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/2 binary32) x)) (pow.f32 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))))))
accuracy	0	(/.f32 #s(literal 1/2 binary32) x)
accuracy	0	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
accuracy	0.015625	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
accuracy	0.7721747807263534	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Samples

119.0ms

256×

valid

Compiler

Compiled 308 to 41 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-log: 38.0ms (36% of total)

ival-sqrt: 28.0ms (26.6% of total)

ival-add: 8.0ms (7.6% of total)

ival-mult: 8.0ms (7.6% of total)

ival-pow: 7.0ms (6.6% of total)

ival-div: 5.0ms (4.7% of total)

ival-sub: 5.0ms (4.7% of total)

ival-pow2: 5.0ms (4.7% 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)

series101.0ms (1.5%)

Memory

-7.4MiB live, 87.1MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

3 calls:

Time

Variable

Point

Expression

28.0ms

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

13.0ms

-inf

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

10.0ms

inf

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

simplify140.0ms (2%)

Memory

25.2MiB live, 180.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	325	1955
1	970	1831
2	2757	1787
3	6822	1758
0	8096	1692

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 166

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* -1 x)
(* x (- (* 3 x) 1))
(* x (- (* x (+ 3 (* -3 x))) 1))
(* x (- (* x (+ 3 (* x (- x 3)))) 1))
1
(+ 1 (* -3 x))
(+ 1 (* x (- (* 4 x) 3)))
(+ 1 (* x (- (* x (+ 4 (* -3 x))) 3)))
(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)
(+ 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 (/ (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
(+ 1 (* -3/2 x))
(+ 1 (* x (- (* 7/8 x) 3/2)))
(+ 1 (* x (- (* x (+ 7/8 (* -3/16 x))) 3/2)))
(sqrt -1)
(+ (sqrt -1) (* 3/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 3/4 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 3))))) (* 3/2 (/ 1 (sqrt -1))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(pow x 4)
(* (pow x 4) (- 1 (* 3 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 3 (pow x 2))) (* 3 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 3 (pow x 2))) (+ (* 3 (/ 1 x)) (/ 1 (pow x 3)))))
(pow x 4)
(* (pow x 4) (- 1 (* 3 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 4 (pow x 2))) (* 3 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 4 (pow x 2))) (+ (* 3 (/ 1 x)) (* 3 (/ 1 (pow x 3))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 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)))))
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 (* 3/2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 7/8 (pow x 2))) (* 3/2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 7/8 (pow x 2))) (+ (* 3/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 3))))))
(pow x 3)
(* (pow x 3) (- 1 (* 3/2 (/ 1 x))))
(* (pow x 3) (- (+ 1 (/ 3/8 (pow x 2))) (* 3/2 (/ 1 x))))
(* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 2)) (* 9/16 (/ 1 (pow x 3))))) (* 3/2 (/ 1 x))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(pow x 4)
(* (pow x 4) (- 1 (* 3 (/ 1 x))))
(* (pow x 4) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 x)) x))) x))))
(pow x 4)
(* (pow x 4) (- 1 (* 3 (/ 1 x))))
(* (pow x 4) (+ 1 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))) 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))
(/ 1/2 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))
(+ (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 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))))))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (- 1 (* 3/2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 3/2 (* 7/8 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 3/2 (* -1 (/ (- 7/8 (* 3/16 (/ 1 x))) x))) x))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- 3/2 (* 3/8 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 3/2 (* -1 (/ (+ 3/8 (* 9/16 (/ 1 x))) x))) x)))))

Outputs
(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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (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))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(* -1 x)
(neg.f32 x)
(* x (- (* 3 x) 1))
(*.f32 (fma.f32 #s(literal 3 binary32) x #s(literal -1 binary32)) x)
(* x (- (* x (+ 3 (* -3 x))) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal -3 binary32) x #s(literal 3 binary32)) x #s(literal -1 binary32)) x)
(* x (- (* x (+ 3 (* x (- x 3)))) 1))
(*.f32 (fma.f32 (fma.f32 (-.f32 x #s(literal 3 binary32)) x #s(literal 3 binary32)) x #s(literal -1 binary32)) x)
1
#s(literal 1 binary32)
(+ 1 (* -3 x))
(fma.f32 #s(literal -3 binary32) x #s(literal 1 binary32))
(+ 1 (* x (- (* 4 x) 3)))
(fma.f32 (fma.f32 #s(literal 4 binary32) x #s(literal -3 binary32)) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ 4 (* -3 x))) 3)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -3 binary32) x #s(literal 4 binary32)) x #s(literal -3 binary32)) 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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (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 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) (sqrt.f32 #s(literal -1 binary32))) (*.f32 x x) (/.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))
(+ 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) (sqrt.f32 #s(literal -1 binary32))) (*.f32 x x) (/.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 (/.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 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (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))
(+ (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) (sqrt.f32 #s(literal -1 binary32))) (.f32 x x) (/.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 (/ (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) (sqrt.f32 #s(literal -1 binary32))) (.f32 x x) (/.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
#s(literal 1 binary32)
(+ 1 (* -3/2 x))
(fma.f32 #s(literal -3/2 binary32) x #s(literal 1 binary32))
(+ 1 (* x (- (* 7/8 x) 3/2)))
(fma.f32 (fma.f32 #s(literal 7/8 binary32) x #s(literal -3/2 binary32)) x #s(literal 1 binary32))
(+ 1 (* x (- (* x (+ 7/8 (* -3/16 x))) 3/2)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -3/16 binary32) x #s(literal 7/8 binary32)) x #s(literal -3/2 binary32)) x #s(literal 1 binary32))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 3/2 (/ x (sqrt -1))))
(fma.f32 (/.f32 #s(literal 3/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 #s(literal -3/8 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 3/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 3/4 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 3))))) (* 3/2 (/ 1 (sqrt -1))))))
(fma.f32 (fma.f32 (*.f32 (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 x #s(literal -3/4 binary32) #s(literal -1/2 binary32))) x (/.f32 #s(literal 3/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (sqrt.f32 #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 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(+ (log 1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(+ (log 1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(+ (log 1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(+ (log 1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(* (pow x 4) (- 1 (* 3 (/ 1 x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) x)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (- (+ 1 (/ 3 (pow x 2))) (* 3 (/ 1 x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) x)) x)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (- (+ 1 (/ 3 (pow x 2))) (+ (* 3 (/ 1 x)) (/ 1 (pow x 3)))))
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) x)) x) x)) (/.f32 #s(literal 3 binary32) x)) (pow.f32 x #s(literal 4 binary32)))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(* (pow x 4) (- 1 (* 3 (/ 1 x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) x)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (- (+ 1 (/ 4 (pow x 2))) (* 3 (/ 1 x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 4 binary32) x)) x)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (- (+ 1 (/ 4 (pow x 2))) (+ (* 3 (/ 1 x)) (* 3 (/ 1 (pow x 3))))))
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 3 binary32) x)) x) x)) (/.f32 #s(literal 3 binary32) x)) (pow.f32 x #s(literal 4 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 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 (-.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) #s(literal 2 binary32))) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 (-.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) x) x)) x)
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 (-.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) x) x) #s(literal 2 binary32))) x)
(+ (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 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 (/.f32 x (.f32 x x)) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) 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 -1/2 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 (/.f32 x (.f32 x x)) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) 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 -1/2 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x x)
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (* 3/2 (/ 1 x))))
(*.f32 (fma.f32 (/.f32 #s(literal -3/2 binary32) x) x x) x)
(* (pow x 2) (- (+ 1 (/ 7/8 (pow x 2))) (* 3/2 (/ 1 x))))
(*.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 7/8 binary32) x) #s(literal 3/2 binary32)) x) x x) x)
(* (pow x 2) (- (+ 1 (/ 7/8 (pow x 2))) (+ (* 3/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 3))))))
(*.f32 (fma.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 7/8 binary32) (/.f32 #s(literal 3/16 binary32) x)) x) x) (/.f32 #s(literal 3/2 binary32) x)) x x) x)
(pow x 3)
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(* (pow x 3) (- 1 (* 3/2 (/ 1 x))))
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(* (pow x 3) (- (+ 1 (/ 3/8 (pow x 2))) (* 3/2 (/ 1 x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 3/8 binary32) x)) x)) (pow.f32 x #s(literal 3 binary32)))
(* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 2)) (* 9/16 (/ 1 (pow x 3))))) (* 3/2 (/ 1 x))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 9/16 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 3/8 binary32) x)) x)) (pow.f32 x #s(literal 3 binary32)))
(+ (log -1/2) (log (/ -1 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
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(+ (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 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (log.f32 (neg.f32 x)))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(neg.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(neg.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(neg.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(neg.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x))))
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(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(+ (log -1/2) (log (/ -1 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(+ (log -1/2) (log (/ -1 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(+ (log -1/2) (log (/ -1 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(* (pow x 4) (- 1 (* 3 (/ 1 x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) x)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 x))) x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) x)) x)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 x)) x))) x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) x)) x)) x)) (pow.f32 x #s(literal 4 binary32)))
(pow x 4)
(pow.f32 x #s(literal 4 binary32))
(* (pow x 4) (- 1 (* 3 (/ 1 x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) x)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 1 (* -1 (/ (- 3 (* 4 (/ 1 x))) x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 4 binary32) x)) x)) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))) x))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 3 binary32) x)) x)) x)) (pow.f32 x #s(literal 4 binary32)))
(+ (log -1/2) (log (/ -1 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (neg.f32 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 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32))) (log.f32 (neg.f32 x)))
(+ (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 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (log.f32 (neg.f32 x)))
(/ 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) (/.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) x) x)) 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)
(/ 1/2 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) (/.f32 (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) x) x)) 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)
(+ (log -1/2) (log (/ -1 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
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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 #s(literal -1/2 binary32))) (log.f32 (neg.f32 x)))
(+ (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 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (log.f32 (neg.f32 x)))
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(fma.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x) x (neg.f32 x))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
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(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(fma.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x) x (neg.f32 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 #s(literal -1/2 binary32) (.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (* 3/2 (/ 1 x))))
(*.f32 (fma.f32 (/.f32 #s(literal -3/2 binary32) x) x x) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 3/2 (* 7/8 (/ 1 x))) x))))
(*.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 7/8 binary32) x) #s(literal 3/2 binary32)) x) x x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ 3/2 (* -1 (/ (- 7/8 (* 3/16 (/ 1 x))) x))) x))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal -3/2 binary32) (/.f32 (-.f32 #s(literal -7/8 binary32) (/.f32 #s(literal -3/16 binary32) x)) x)) x) x x) x)
(* -1 (pow x 3))
(neg.f32 (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 x)))))
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -3/2 binary32) x)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- 3/2 (* 3/8 (/ 1 x))) x)))))
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 3/8 binary32) x) #s(literal 3/2 binary32)) x)) (pow.f32 x #s(literal 3 binary32)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 3/2 (* -1 (/ (+ 3/8 (* 9/16 (/ 1 x))) x))) x)))))
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -3/2 binary32) (/.f32 (-.f32 #s(literal -3/8 binary32) (/.f32 #s(literal 9/16 binary32) x)) x)) x)) (pow.f32 x #s(literal 3 binary32)))

rewrite213.0ms (3.1%)

Memory

21.8MiB live, 206.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	298
0	65	284
1	271	258
2	2005	258
0	9214	245

Stop Event

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

Counts

14 → 396

Calls

Call 1

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

Outputs
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eval112.0ms (1.6%)

Memory: -27.9MiB live, 126.4MiB allocated
Compiler: Compiled 26 832 to 2 834 computations (89.4% saved)

prune14.0ms (0.2%)

Memory

11.8MiB live, 49.5MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	561	1	562
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	562	8	570

Accuracy

100.0%

Counts

570 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.6%	(log.f32 (fma.f32 #s(literal 1 binary32) x #s(approx (sqrt (- (* x x) 1)) x)))
	27.1%	(log.f32 (+.f32 (/.f32 #s(approx (sqrt (+ (pow (- x 1) 3) (pow (* (- x 1) x) 3))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/2 binary32) x)) (pow.f32 x #s(literal 3 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 (.f32 (-.f32 x #s(literal 1 binary32)) x) (-.f32 x #s(literal 1 binary32))))))) x))
✓	56.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	56.5%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (-.f32 x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)))))
✓	98.0%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))))
✓	96.8%	(log.f32 (+.f32 x #s(approx (sqrt (* (- x 1) (+ 1 x))) x)))
✓	98.1%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 #s(literal 2 binary32) x))))
✓	97.6%	#s(approx (log (+ (sqrt (+ (* x x) -1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x))))

Compiler

Compiled 328 to 166 computations (49.4% saved)

regimes19.0ms (0.3%)

Memory

-0.2MiB live, 36.7MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
5.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
5.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.1%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes9.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

regimes32.0ms (0.5%)

Memory

-34.5MiB live, 20.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

Calls

3 calls:

26.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
3.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms	x

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.6%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes6.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Accuracy

Total -28.0b remaining (-2775.9%)

Threshold costs -28b (-2775.9%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Calls

3 calls:

2.0ms	(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
96.8%	1	`x`
96.8%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
96.8%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify31.0ms (0.4%)

Memory

6.5MiB live, 44.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	60
1	45	60
2	54	60
3	61	60
4	66	60
5	68	60

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness912.0ms (13.2%)

Memory

-42.2MiB live, 668.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	2793
1	665	2518
2	2041	2415
3	7415	2412
0	8315	2290
0	52	339
0	78	319
1	341	247
2	2691	247
0	10410	230
0	7	28
0	12	28
1	49	28
2	322	28
3	3626	28
0	8646	24
0	32	174
0	51	155
1	204	155
2	1380	155
0	8481	155
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

Compiler

Compiled 105 to 75 computations (28.6% saved)

preprocess40.0ms (0.6%)

Memory: 12.4MiB live, 91.2MiB allocated
Compiler: Compiled 100 to 72 computations (28% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample507.0ms (7.4%)

explain115.0ms (1.7%)

preprocess330.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify271.0ms (3.9%)

localize25.0ms (0.4%)

series6.0ms (0.1%)

simplify225.0ms (3.3%)

rewrite213.0ms (3.1%)

eval51.0ms (0.7%)

prune55.0ms (0.8%)

simplify406.0ms (5.9%)

localize222.0ms (3.2%)

series90.0ms (1.3%)

simplify448.0ms (6.5%)

rewrite340.0ms (4.9%)

eval224.0ms (3.3%)

prune314.0ms (4.6%)

simplify285.0ms (4.1%)

localize118.0ms (1.7%)

series105.0ms (1.5%)

simplify200.0ms (2.9%)

rewrite187.0ms (2.7%)

eval134.0ms (1.9%)

prune15.0ms (0.2%)

simplify201.0ms (2.9%)

localize172.0ms (2.5%)

series101.0ms (1.5%)

simplify140.0ms (2%)

rewrite213.0ms (3.1%)

eval112.0ms (1.6%)

prune14.0ms (0.2%)

regimes19.0ms (0.3%)

regimes9.0ms (0.1%)

regimes32.0ms (0.5%)

regimes6.0ms (0.1%)

simplify31.0ms (0.4%)

soundness912.0ms (13.2%)

preprocess40.0ms (0.6%)

end0.0ms (0%)

Profiling