Metrics for Rust f32::acosh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample580.0ms (6%)

Memory

-45.5MiB live, 722.2MiB allocated

Samples

407.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-acosh: 149.0ms (80.6% of total)

ival->=: 26.0ms (14.1% of total)

exact: 6.0ms (3.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain97.0ms (1%)

Memory

35.7MiB live, 234.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
132	-	-	`(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	132	0
↳	`(*.f32 x x)`	overflow	132
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	132
`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	132
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	132

Confusion

	Predicted +	Predicted -
+	132	0
-	0	124

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	0
-	0	0	124

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	124
1	130
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 80 to 25 computations (68.8% saved)

Precisions

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

ival-log: 5.0ms (24.6% of total)

ival-sub: 4.0ms (19.7% of total)

ival-add: 4.0ms (19.7% of total)

ival-sqrt: 4.0ms (19.7% of total)

ival-mult: 3.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess704.0ms (7.2%)

Memory

9.3MiB live, 758.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify598.0ms (6.2%)

Memory

-3.4MiB live, 742.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize23.0ms (0.2%)

Memory

10.4MiB live, 48.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f32 x x)
accuracy	0.0390625	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	0.2455161614873145	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	14.285473709457944	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

14.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

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

ival-log: 2.0ms (22.8% of total)

ival-mult: 2.0ms (22.8% of total)

ival-sqrt: 2.0ms (22.8% of total)

ival-sub: 1.0ms (11.4% of total)

ival-add: 1.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-14.0MiB live, 21.9MiB allocated

Counts

5 → 60

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

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ x (sqrt (- (* x x) 1)))
1.0ms	x	@	0	(log (+ x (sqrt (- (* x x) 1))))
1.0ms	x	@	-inf	(log (+ x (sqrt (- (* x x) 1))))
1.0ms	x	@	inf	(log (+ x (sqrt (- (* x x) 1))))
0.0ms	x	@	inf	(- (* x x) 1)

simplify613.0ms (6.3%)

Memory

-11.3MiB live, 557.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	595
1	411	569
2	1143	562
3	3327	524
4	7966	524
0	8526	495

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

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

rewrite563.0ms (5.8%)

Memory

14.8MiB live, 340.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	31
0	12	31
1	49	31
2	322	31
3	3626	31
0	8646	27

Stop Event

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

Counts

5 → 328

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)))
(*.f32 x x)

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

eval52.0ms (0.5%)

Memory: 9.5MiB live, 83.6MiB allocated
Compiler: Compiled 10 847 to 1 571 computations (85.5% saved)

prune67.0ms (0.7%)

Memory

16.8MiB live, 171.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	381	6	387
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	382	6	388

Accuracy

100.0%

Counts

388 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32))))
▶	51.7%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	98.2%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
	28.1%	(log.f32 (.f32 (/.f32 (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))) (fma.f32 x x (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))))
▶	96.7%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))))
▶	96.6%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))

Compiler

Compiled 218 to 96 computations (56% saved)

simplify590.0ms (6.1%)

Memory

-20.4MiB live, 771.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f32 x)
cost-diff	0	(log.f32 #s(literal 2 binary32))
cost-diff	0	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
cost-diff	128	(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32))))
cost-diff	288	(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32)))
cost-diff	352	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32))
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	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))
cost-diff	0	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))))
cost-diff	64	(*.f32 x #s(literal 2 binary32))
cost-diff	0	(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
cost-diff	0	#s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
cost-diff	0	(+.f32 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)))))

Rules

26 532×	`lower-fma.f64`
26 530×	`lower-fma.f32`
4 094×	`lower-*.f64`
4 092×	`lower-*.f32`
2 876×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	197
0	49	182
1	71	181
2	90	181
3	113	181
4	171	181
5	240	181
6	382	181
7	657	181
8	2175	181
9	3341	181
10	4699	181
11	5418	181
12	5826	181
13	6006	181
14	6109	181
15	6451	181
16	7554	181
17	7984	181
0	8012	181

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

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

localize115.0ms (1.2%)

Memory

4.2MiB live, 208.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(log.f32 x)
accuracy	0	(log.f32 #s(literal 2 binary32))
accuracy	0.25390625	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
accuracy	0.8281705224464138	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))
accuracy	0.015625	(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32)))
accuracy	0.0390625	(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
accuracy	0.18963650958101652	(/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
accuracy	14.285473709457966	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	0	(fma.f32 x x #s(literal -1 binary32))
accuracy	0.0390625	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
accuracy	0.2455161614873145	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
accuracy	14.285473709457966	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	0	(*.f32 x #s(literal 2 binary32))
accuracy	0.2455161614873145	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))))
accuracy	1.0163161692476903	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))
accuracy	0	(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
accuracy	0.0390625	(+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
accuracy	0.2455161614873145	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
accuracy	0.4135812490874284	#s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))

Samples

83.0ms

256×

valid

Compiler

Compiled 178 to 27 computations (84.8% saved)

Precisions

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

ival-sub: 40.0ms (56% of total)

ival-log: 11.0ms (15.4% of total)

ival-add: 7.0ms (9.8% of total)

ival-div: 5.0ms (7% of total)

ival-mult: 3.0ms (4.2% of total)

ival-sqrt: 3.0ms (4.2% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series104.0ms (1.1%)

Memory

5.7MiB live, 163.5MiB allocated

Counts

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

Calls

57 calls:

Time	Variable		Point	Expression
46.0ms	x	@	0	(+ (log 2) (log x))
39.0ms	x	@	-inf	(+ (log 2) (log x))
6.0ms	x	@	inf	(+ (log 2) (log x))
1.0ms	x	@	-inf	(/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1)
1.0ms	x	@	0	(log (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1))

simplify344.0ms (3.5%)

Memory

9.1MiB live, 531.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 048×	`lower-fma.f64`
11 048×	`lower-fma.f32`
6 164×	`lower-*.f64`
6 164×	`lower-*.f32`
3 062×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	2778
1	685	2596
2	1995	2523
0	8479	2440

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 224

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

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

rewrite401.0ms (4.1%)

Memory

-18.4MiB live, 695.5MiB allocated

Rules

8 666×	`lower-fma.f64`
8 664×	`lower-fma.f32`
3 640×	`lower-*.f64`
3 638×	`lower-*.f32`
3 364×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	174
0	49	157
1	188	156
2	1136	156
0	8711	156

Stop Event

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

Counts

20 → 763

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

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

eval166.0ms (1.7%)

Memory: 15.7MiB live, 210.3MiB allocated
Compiler: Compiled 26 325 to 3 416 computations (87% saved)

prune168.0ms (1.7%)

Memory

-2.8MiB live, 400.1MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 127	3	1 130
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 130	6	1 136

Accuracy

100.0%

Counts

1 136 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.5%	(neg.f32 (log.f32 (/.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
▶	51.7%	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
▶	97.4%	(neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))
✓	51.7%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	98.2%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
✓	96.7%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))))

Compiler

Compiled 76 to 42 computations (44.7% saved)

simplify358.0ms (3.7%)

Memory

25.3MiB live, 579.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
cost-diff	0	(log.f32 (/.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
cost-diff	0	(neg.f32 (log.f32 (/.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
cost-diff	96	(fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))
cost-diff	0	(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
cost-diff	128	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
cost-diff	288	(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) x)
cost-diff	0	#s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))
cost-diff	0	(log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))
cost-diff	0	(neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))

Rules

15 426×	`lower-fma.f64`
15 420×	`lower-fma.f32`
3 232×	`lower-*.f64`
3 228×	`lower-*.f32`
2 702×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	251
0	47	239
1	76	237
2	129	237
3	241	237
4	619	237
5	1381	237
6	3219	237
7	5920	237
0	8423	229

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (1.8%)

Memory

-8.3MiB live, 177.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
accuracy	14.285473709457966	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	20.333932857302756	(/.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
accuracy	26.356250398289003	(-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
accuracy	0.015625	(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
accuracy	0.0390625	(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
accuracy	0.18963650958101652	(/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
accuracy	14.285473709457966	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	0	(/.f32 #s(literal 1/2 binary32) x)
accuracy	0	(neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))
accuracy	0.015625	(log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))
accuracy	1.0257043749350219	#s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))

Samples

92.0ms	193×	1	valid
10.0ms	63×	0	valid

Compiler

Compiled 279 to 26 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-add: 31.0ms (35.7% of total)

adjust: 15.0ms (17.3% of total)

ival-log: 12.0ms (13.8% of total)

ival-div: 9.0ms (10.4% of total)

ival-mult: 8.0ms (9.2% of total)

ival-neg: 5.0ms (5.8% of total)

ival-sqrt: 3.0ms (3.5% of total)

ival-sub: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

11.4MiB live, 45.3MiB allocated

Counts

15 → 180

Calls

Call 1

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

Outputs
#s(alt (* -1 (log (/ 1 (sqrt -1)))) (taylor 0 x) (#s(alt (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (patch (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (- (/ x (sqrt -1)) (log (/ 1 (sqrt -1)))) (taylor 0 x) (#s(alt (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (patch (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1)))) (taylor 0 x) (#s(alt (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (patch (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1)))) (taylor 0 x) (#s(alt (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (patch (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ (log 1/2) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (patch (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (patch (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (patch (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (patch (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ (log -2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (patch (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (patch (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (patch (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (patch (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) #<representation binary32>) () ())) ())
#s(alt (log (/ 1 (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) (patch (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1)))) (taylor 0 x) (#s(alt (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) (patch (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) (patch (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (/ 1 (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 (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) (patch (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log 1/2) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) (patch (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
#s(alt (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) (patch (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#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 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) (taylor -inf x) (#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 (* -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 (fma.f32 x x #s(literal -1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (sqrt -1)) (taylor 0 x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- x (sqrt -1)) (taylor 0 x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1)) (taylor 0 x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1)) (taylor 0 x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.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 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x) (taylor inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) (taylor -inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) (taylor -inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2))) (taylor -inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1)))) (taylor 0 x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* (pow x 2) (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(neg (log (/ (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1)) (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1)))))))
1.0ms	x	@	0	(+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))
0.0ms	x	@	0	(* (+ (* x x) -1) (sqrt (+ (* x x) -1)))
0.0ms	x	@	inf	(neg (log (/ (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1)) (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1)))))))
0.0ms	x	@	-inf	(neg (log (/ (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1)) (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1)))))))

simplify389.0ms (4%)

Memory

1.7MiB live, 656.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 640×	`lower-fma.f64`
10 640×	`lower-fma.f32`
5 480×	`lower-+.f64`
5 480×	`lower-+.f32`
4 548×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	350	2670
1	1062	2428
2	3465	2326
0	8513	2258

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 179

Calls

Call 1

Inputs
(* -1 (log (/ 1 (sqrt -1))))
(- (/ x (sqrt -1)) (log (/ 1 (sqrt -1))))
(- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (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 (/ 1 (sqrt -1))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log -2) (* -1 (log (/ -1 x)))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))
(log (/ 1 (sqrt -1)))
(+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1))))
(+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (/ 1 (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 1/2) (log (/ 1 x)))
(+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 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 (sqrt -1))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))
(+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(log (/ 1 (sqrt -1)))
(+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1))))
(+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (/ 1 (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 1/2) (log (/ 1 x)))
(+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 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 (sqrt -1))))
(- (/ x (sqrt -1)) (log (/ 1 (sqrt -1))))
(- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (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 (/ 1 (sqrt -1))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log -2) (* -1 (log (/ -1 x)))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))
(/ 1 (sqrt -1))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))
(+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(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)
(* 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 (* 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
(- (* -1 (* x (sqrt -1))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1)
(pow x 2)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))
(* -1 (log (/ -1 (sqrt -1))))
(- (* -1 (* x (sqrt -1))) (log (/ -1 (sqrt -1))))
(- (* x (- (* -1/2 (* x (+ (* -2 (* (sqrt -1) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2))))) (sqrt -1))) (log (/ -1 (sqrt -1))))
(- (* x (- (* x (- (* -1/6 (* x (- (+ (* 2 (pow (sqrt -1) 3)) (* 6 (* (pow (sqrt -1) 2) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3))))))) (* 12 (/ 1 (sqrt -1)))))) (* 1/2 (+ (* -2 (* (sqrt -1) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))))) (sqrt -1))) (log (/ -1 (sqrt -1))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log -2) (* -1 (log (/ -1 x)))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (* x (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (* x (+ (sqrt -1) (* 1/2 (* x (+ (* -2 (* (sqrt -1) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2))))))))
(+ (log (/ -1 (sqrt -1))) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (- (+ (* 2 (pow (sqrt -1) 3)) (* 6 (* (pow (sqrt -1) 2) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3))))))) (* 12 (/ 1 (sqrt -1)))))) (* 1/2 (+ (* -2 (* (sqrt -1) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))))))))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log -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 (sqrt -1))
(- (* -1 x) (/ 1 (sqrt -1)))
(- (* x (- (* x (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3))))) 1)) (/ 1 (sqrt -1)))
(- (* x (- (* x (+ (* 3/2 (/ 1 (pow (sqrt -1) 3))) (+ (* 2 (/ 1 (sqrt -1))) (* 2 (/ x (pow (sqrt -1) 2)))))) 1)) (/ 1 (sqrt -1)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(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))))))
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)))))
(* -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 (sqrt -1))
(- x (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))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(sqrt -1)
(+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* (pow x 2) (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))
(pow x 3)
(* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2))))))

Outputs
(* -1 (log (/ 1 (sqrt -1))))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(- (/ x (sqrt -1)) (log (/ 1 (sqrt -1))))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))
(fma.f32 x (fma.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))
(fma.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 3/40 binary32) (/.f32 (.f32 x 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 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 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)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(-.f32 (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x)))
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(-.f32 (+.f32 (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x))))
(* -1 (+ (log -2) (* -1 (log (/ -1 x)))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -2 binary32)))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -2 binary32))))
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -2 binary32)))))
(- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -2 binary32))))))
(log (/ 1 (sqrt -1)))
(neg.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1))))
(-.f32 (neg.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(-.f32 (.f32 x (.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (/ 1 (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 x (fma.f32 (.f32 x x) (/.f32 (.f32 (.f32 x x) #s(literal -3/40 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(+ (log 1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (-.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (log.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 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 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 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x))))
(/ 1 (sqrt -1))
(/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))
(+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) x)
(+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(fma.f32 x (fma.f32 x (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))
(+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(fma.f32 x (fma.f32 x (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 x x) #s(literal -1/8 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 binary32))))) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))) #s(literal -2 binary32))) (neg.f32 x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))) (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)
(/ 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)
(/ 1/2 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 (/ 1 (sqrt -1)))
(neg.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1))))
(-.f32 (neg.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(-.f32 (.f32 x (.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (/ 1 (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 x (fma.f32 (.f32 x x) (/.f32 (.f32 (.f32 x x) #s(literal -3/40 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (.f32 (fma.f32 (*.f32 x x) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
(+ (log 1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (-.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (log.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 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 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 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x))))
(* -1 (log (/ 1 (sqrt -1))))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(- (/ x (sqrt -1)) (log (/ 1 (sqrt -1))))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))
(fma.f32 x (fma.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))
(fma.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 3/40 binary32) (/.f32 (.f32 x 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 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 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)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(-.f32 (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x)))
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(-.f32 (+.f32 (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x))))
(* -1 (+ (log -2) (* -1 (log (/ -1 x)))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -2 binary32)))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -2 binary32))))
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))
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(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(fma.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 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))))))
(.f32 (neg.f32 x) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))))
(* -1 (sqrt -1))
(neg.f32 (sqrt.f32 #s(literal -1 binary32)))
(- x (sqrt -1))
(-.f32 x (sqrt.f32 #s(literal -1 binary32)))
(- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))
(fma.f32 x (.f32 x (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (-.f32 x (sqrt.f32 #s(literal -1 binary32))))
(- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (/.f32 #s(literal -1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (-.f32 x (sqrt.f32 #s(literal -1 binary32))))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 binary32))))) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))) #s(literal -2 binary32))) (neg.f32 x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 x))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 x (.f32 x (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/2 binary32))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/2 binary32))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* (pow x 2) (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (+.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/16 binary32) (.f32 x x)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/2 binary32))) (sqrt.f32 #s(literal -1 binary32)))
(pow x 3)
(.f32 x (.f32 x x))
(* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -3/2 binary32) (*.f32 x x)) x))
(* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 x (+.f32 (/.f32 #s(literal 3/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -3/2 binary32) (.f32 x x))) x))
(* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 x (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 3/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -3/2 binary32) (.f32 x x)))) x))
(* -1 (pow x 3))
(neg.f32 (.f32 x (.f32 x x)))
(* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2))))))
(.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 3/2 binary32) (.f32 x x))))
(* -1 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))))
(.f32 (.f32 x (neg.f32 x)) (fma.f32 x (+.f32 (/.f32 #s(literal 3/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -3/2 binary32) (.f32 x x))) x))
(* -1 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2))))))
(neg.f32 (.f32 (.f32 x x) (fma.f32 x (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 3/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -3/2 binary32) (.f32 x x)))) x)))

rewrite451.0ms (4.6%)

Memory

-3.6MiB live, 820.4MiB allocated

Rules

7 002×	`lower-fma.f64`
6 996×	`lower-fma.f32`
3 884×	`lower-/.f64`
3 878×	`lower-/.f32`
3 510×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	213
0	47	143
1	167	135
2	1180	135
0	8515	134

Stop Event

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

Counts

15 → 939

Calls

Call 1

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

Outputs
(neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))))
(-.f32 #s(literal 0 binary32) (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) #s(literal 0 binary32))) (/.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) #s(literal 0 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (/.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) #s(literal 0 binary32)) (neg.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) (neg.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) #s(literal 0 binary32)))
(/.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32))) (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)))) (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ ( x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))) (.f32 #s(literal 0 binary32) (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ ( x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ ( x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))) (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))))) (-.f32 #s(literal 0 binary32) (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))))
(.f32 #s(literal -1 binary32) (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ ( x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))
(.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ ( x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal -1 binary32))
(.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ ( x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) #s(literal 0 binary32))))
(.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ ( x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))))
(log.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))
(+.f32 #s(literal 0 binary32) (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))
(/.f32 (neg.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32))) (neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal 2 binary32)) #s(literal 0 binary32))))
(log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))
(/.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32))
(/.f32 (neg.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))) #s(literal -1 binary32))
#s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))
(.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ ( x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x)) #s(literal 1 binary32))
(neg.f32 (/.f32 #s(literal -1/2 binary32) x))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 x #s(literal 2 binary32))))
(exp.f32 (.f32 (log.f32 (.f32 x #s(literal 2 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 x #s(literal 2 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32)))
(/.f32 #s(literal -1 binary32) (*.f32 x #s(literal -2 binary32)))
(/.f32 #s(literal 1/2 binary32) x)
(/.f32 #s(literal -1/2 binary32) (neg.f32 x))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) x))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))
(.f32 (pow.f32 (.f32 x #s(literal 2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (*.f32 x #s(literal 2 binary32)) #s(literal -1/2 binary32)))
(neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(+.f32 (neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 0 binary32))
(+.f32 (log.f32 (fma.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x) #s(literal -1 binary32))) (neg.f32 (log.f32 (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.f32 (log1p.f32 (neg.f32 (.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x)))) (log.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x (.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(+.f32 (log1p.f32 (neg.f32 (.f32 x (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) x)))) (neg.f32 (log.f32 (neg.f32 (fma.f32 x (.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))
(+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(+.f32 (neg.f32 (log.f32 (neg.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (log.f32 #s(literal -1 binary32)))
(+.f32 (neg.f32 (log.f32 (neg.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (neg.f32 (log.f32 #s(literal -1 binary32))))
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(/.f32 (+.f32 (pow.f32 (.f32 (.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 3 binary32)) (neg.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (fma.f32 (.f32 (.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (.f32 (.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 (.f32 (.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 (.f32 (.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (.f32 (.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (-.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (.f32 (*.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32)) (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (.f32 x x)) (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (.f32 x x)))) (-.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32)) (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 x x))))
(/.f32 (-.f32 (.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (.f32 x x)) (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (.f32 x x))) (.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32)) (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32)))) (-.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (.f32 x x)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (.f32 (.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (.f32 (*.f32 x x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(sqrt.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(.f32 (+.f32 #s(literal 1 binary32) x) (.f32 (+.f32 x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)))
(.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) x)) (+.f32 x #s(literal -1 binary32)))
(.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal 1 binary32)) (neg.f32 (*.f32 x x)))))
(.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal 1 binary32)) (neg.f32 (*.f32 x x)))))
(.f32 (.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 3/2 binary32)) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 3/2 binary32)))
(.f32 (pow.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal 1 binary32)) (neg.f32 (.f32 x x)))) #s(literal 3/2 binary32)))
(.f32 (pow.f32 (fma.f32 (.f32 x x) (*.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) x)) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 3 binary32)))
(.f32 (.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32))))
(.f32 (.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))

eval160.0ms (1.6%)

Memory: -10.9MiB live, 314.9MiB allocated
Compiler: Compiled 51 901 to 4 308 computations (91.7% saved)

prune487.0ms (5%)

Memory

-4.3MiB live, 274.6MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 199	1	1 200
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	1 200	6	1 206

Accuracy

100.0%

Counts

1 206 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.3%	(neg.f32 (log.f32 (/.f32 (fma.f32 x #s(approx (- x (sqrt (+ (* x x) -1))) (/.f32 #s(literal 1/2 binary32) x)) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
✓	51.7%	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
✓	97.4%	(neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))
✓	51.7%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	98.2%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
✓	96.7%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))))

Compiler

Compiled 73 to 43 computations (41.1% saved)

simplify750.0ms (7.7%)

Memory

23.5MiB live, 388.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

13 366×	`lower-fma.f64`
13 360×	`lower-fma.f32`
2 746×	`lower-*.f64`
2 742×	`lower-*.f32`
2 040×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	173
0	30	169
1	49	169
2	79	169
3	151	169
4	394	169
5	974	169
6	1930	169
7	4572	169
0	8347	161

Stop Event

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

Calls

Call 1

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

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

localize152.0ms (1.6%)

Memory

-19.5MiB live, 97.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
accuracy	1.0257043749350219	#s(approx (- x (sqrt (+ (* x x) -1))) (/.f32 #s(literal 1/2 binary32) x))
accuracy	14.285473709457944	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	20.333932857302756	(/.f32 (fma.f32 x #s(approx (- x (sqrt (+ (* x x) -1))) (/.f32 #s(literal 1/2 binary32) x)) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))

Samples

106.0ms	193×	1	valid
7.0ms	63×	0	valid

Compiler

Compiled 184 to 18 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-div: 39.0ms (38.3% of total)

adjust: 37.0ms (36.3% of total)

ival-mult: 8.0ms (7.8% of total)

ival-add: 6.0ms (5.9% of total)

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

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

ival-sub: 2.0ms (2% of total)

ival-neg: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

7 → 84

Calls

Call 1

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

Outputs
#s(alt -1 (taylor 0 x) (#s(alt (fma.f32 x #s(approx (- x (sqrt (+ (* x x) -1))) (/.f32 #s(literal 1/2 binary32) x)) (fma.f32 x x #s(literal -1 binary32))) (patch (fma.f32 x #s(approx (- x (sqrt (+ (* x x) -1))) (/.f32 #s(literal 1/2 binary32) x)) (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (* x (sqrt -1))) 1) (taylor 0 x) (#s(alt (fma.f32 x #s(approx (- x (sqrt (+ (* x x) -1))) (/.f32 #s(literal 1/2 binary32) x)) (fma.f32 x x #s(literal -1 binary32))) (patch (fma.f32 x #s(approx (- x (sqrt (+ (* x x) -1))) (/.f32 #s(literal 1/2 binary32) x)) (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1) (taylor 0 x) (#s(alt (fma.f32 x #s(approx (- x (sqrt (+ (* x x) -1))) (/.f32 #s(literal 1/2 binary32) x)) (fma.f32 x x #s(literal -1 binary32))) (patch (fma.f32 x #s(approx (- x (sqrt (+ (* x x) -1))) (/.f32 #s(literal 1/2 binary32) x)) (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1) (taylor 0 x) (#s(alt (fma.f32 x #s(approx (- x (sqrt (+ (* x x) -1))) (/.f32 #s(literal 1/2 binary32) x)) (fma.f32 x x #s(literal -1 binary32))) (patch (fma.f32 x #s(approx (- x (sqrt (+ (* x x) -1))) (/.f32 #s(literal 1/2 binary32) x)) (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
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#s(alt (sqrt -1) (taylor 0 x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1)))) (taylor 0 x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* (pow x 2) (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(neg (log (/ (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1)) (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1)))))))
0.0ms	x	@	inf	(neg (log (/ (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1)) (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1)))))))
0.0ms	x	@	-inf	(neg (log (/ (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1)) (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1)))))))
0.0ms	x	@	0	(+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))
0.0ms	x	@	0	(log (/ (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1)) (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1))))))

simplify436.0ms (4.5%)

Memory

3.9MiB live, 531.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 708×	`lower-fma.f64`
8 708×	`lower-fma.f32`
4 758×	`lower-+.f64`
4 758×	`lower-+.f32`
4 150×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1346
1	843	1220
2	2805	1137
0	8454	1095

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

Calls

Call 1

Inputs
-1
(- (* -1 (* x (sqrt -1))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1)
(pow x 2)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))
(* -1 (log (/ -1 (sqrt -1))))
(- (* -1 (* x (sqrt -1))) (log (/ -1 (sqrt -1))))
(- (* x (- (* -1/2 (* x (+ (* -2 (* (sqrt -1) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2))))) (sqrt -1))) (log (/ -1 (sqrt -1))))
(- (* x (- (* x (- (* -1/6 (* x (- (+ (* 2 (pow (sqrt -1) 3)) (* 6 (* (pow (sqrt -1) 2) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3))))))) (* 12 (/ 1 (sqrt -1)))))) (* 1/2 (+ (* -2 (* (sqrt -1) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))))) (sqrt -1))) (log (/ -1 (sqrt -1))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log -2) (* -1 (log (/ -1 x)))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))
(log (/ -1 (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (* x (sqrt -1)))
(+ (log (/ -1 (sqrt -1))) (* x (+ (sqrt -1) (* 1/2 (* x (+ (* -2 (* (sqrt -1) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2))))))))
(+ (log (/ -1 (sqrt -1))) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (- (+ (* 2 (pow (sqrt -1) 3)) (* 6 (* (pow (sqrt -1) 2) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3))))))) (* 12 (/ 1 (sqrt -1)))))) (* 1/2 (+ (* -2 (* (sqrt -1) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))))))))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log -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 (sqrt -1))
(- (* -1 x) (/ 1 (sqrt -1)))
(- (* x (- (* x (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3))))) 1)) (/ 1 (sqrt -1)))
(- (* x (- (* x (+ (* 3/2 (/ 1 (pow (sqrt -1) 3))) (+ (* 2 (/ 1 (sqrt -1))) (* 2 (/ x (pow (sqrt -1) 2)))))) 1)) (/ 1 (sqrt -1)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(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))))))
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)))))
(* -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 (sqrt -1))
(- x (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))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(sqrt -1)
(+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* (pow x 2) (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))
(pow x 3)
(* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2))))))

Outputs
-1
#s(literal -1 binary32)
(- (* -1 (* x (sqrt -1))) 1)
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (neg.f32 x) #s(literal -1 binary32))
(- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1)
(fma.f32 x (-.f32 (*.f32 x #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1 binary32))
(- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1)
(fma.f32 x (fma.f32 x (fma.f32 x (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (/.f32 #s(literal -1/2 binary32) (.f32 x x)) x))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) x))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) x))
(* 3 (pow x 2))
(.f32 (.f32 x x) #s(literal 3 binary32))
(* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3/2 binary32) (*.f32 x x)))))
(* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 3 binary32) (/.f32 (+.f32 #s(literal -3/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (.f32 x x)))))
(* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal 3 binary32) (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -3/2 binary32) (*.f32 x x)))))
(* -1 (log (/ -1 (sqrt -1))))
(neg.f32 (neg.f32 (log.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))))))
(- (* -1 (* x (sqrt -1))) (log (/ -1 (sqrt -1))))
(neg.f32 (fma.f32 x (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32)))))))
(- (* x (- (* -1/2 (* x (+ (* -2 (* (sqrt -1) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2))))) (sqrt -1))) (log (/ -1 (sqrt -1))))
(-.f32 (*.f32 x (-.f32 (+.f32 x (neg.f32 x)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 (log.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))))))
(- (* x (- (* x (- (* -1/6 (* x (- (+ (* 2 (pow (sqrt -1) 3)) (* 6 (* (pow (sqrt -1) 2) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3))))))) (* 12 (/ 1 (sqrt -1)))))) (* 1/2 (+ (* -2 (* (sqrt -1) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))))) (sqrt -1))) (log (/ -1 (sqrt -1))))
(-.f32 (.f32 x (fma.f32 x (fma.f32 (fma.f32 #s(literal 6 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (fma.f32 #s(literal 6 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -2 binary32)))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 0 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 (log.f32 (neg.f32 (sqrt.f32 #s(literal -1 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)) (* 1/4 (/ 1 (pow x 2))))))
(-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 x)) (log.f32 #s(literal 1/2 binary32)))
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(-.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x)) (log.f32 x)) (log.f32 #s(literal 1/2 binary32)))
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (-.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (log.f32 #s(literal 1/2 binary32))) (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 x)))
(* -1 (+ (log -2) (* -1 (log (/ -1 x)))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -2 binary32)))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -2 binary32))))
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32)))
(- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -2 binary32))))))
(log (/ -1 (sqrt -1)))
(neg.f32 (log.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32)))))
(+ (log (/ -1 (sqrt -1))) (* x (sqrt -1)))
(fma.f32 x (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))))))
(+ (log (/ -1 (sqrt -1))) (* x (+ (sqrt -1) (* 1/2 (* x (+ (* -2 (* (sqrt -1) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2))))))))
(fma.f32 x (fma.f32 x #s(literal 0 binary32) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))))))
(+ (log (/ -1 (sqrt -1))) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (- (+ (* 2 (pow (sqrt -1) 3)) (* 6 (* (pow (sqrt -1) 2) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3))))))) (* 12 (/ 1 (sqrt -1)))))) (* 1/2 (+ (* -2 (* (sqrt -1) (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (pow (sqrt -1) 2)))))))))
(fma.f32 x (fma.f32 x (fma.f32 (fma.f32 #s(literal 6 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (fma.f32 #s(literal 6 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -2 binary32)))) (.f32 x #s(literal 1/6 binary32)) #s(literal 0 binary32)) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))))))
(+ (log 1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 x)))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x 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 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x)))) (+.f32 (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (log.f32 x)) (log.f32 #s(literal 1/2 binary32))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.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 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x)) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) 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)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(/ -1 (sqrt -1))
(/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))
(- (* -1 x) (/ 1 (sqrt -1)))
(-.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) x)
(- (* x (- (* x (+ (* 2 (/ 1 (sqrt -1))) (* 3/2 (/ 1 (pow (sqrt -1) 3))))) 1)) (/ 1 (sqrt -1)))
(fma.f32 x (fma.f32 x (+.f32 (/.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))
(- (* x (- (* x (+ (* 3/2 (/ 1 (pow (sqrt -1) 3))) (+ (* 2 (/ 1 (sqrt -1))) (* 2 (/ x (pow (sqrt -1) 2)))))) 1)) (/ 1 (sqrt -1)))
(fma.f32 x (fma.f32 x (+.f32 (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/2 binary32))) (fma.f32 x #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 binary32)))))) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (neg.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(neg.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -2 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (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 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 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 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (/.f32 x (.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 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(neg.f32 (fma.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (/.f32 x (.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))))))
(neg.f32 (fma.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) x))
(* -1 (sqrt -1))
(neg.f32 (sqrt.f32 #s(literal -1 binary32)))
(- x (sqrt -1))
(-.f32 x (sqrt.f32 #s(literal -1 binary32)))
(- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))
(fma.f32 x (.f32 x (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (-.f32 x (sqrt.f32 #s(literal -1 binary32))))
(- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))
(fma.f32 x (fma.f32 x (fma.f32 x (/.f32 (.f32 x #s(literal -1/8 binary32)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 binary32)))))) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (neg.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(neg.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -2 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 (.f32 x x) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/2 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 (.f32 x x) #s(literal 3/4 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/2 binary32))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* (pow x 2) (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal -1/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3/2 binary32))) (sqrt.f32 #s(literal -1 binary32)))
(pow x 3)
(.f32 x (.f32 x x))
(* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 x (/.f32 #s(literal -3/2 binary32) (*.f32 x x)) x))
(* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 x (+.f32 (/.f32 #s(literal 3/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -3/2 binary32) (.f32 x x))) x))
(* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 x (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 3/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -3/2 binary32) (.f32 x x)))) x))
(* -1 (pow x 3))
(neg.f32 (.f32 x (.f32 x x)))
(* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2))))))
(.f32 (.f32 x x) (neg.f32 (fma.f32 x (/.f32 #s(literal -3/2 binary32) (*.f32 x x)) x)))
(* -1 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))))
(.f32 (.f32 x (neg.f32 x)) (fma.f32 x (+.f32 (/.f32 #s(literal 3/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -3/2 binary32) (.f32 x x))) x))
(* -1 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2))))))
(.f32 (.f32 x (neg.f32 x)) (fma.f32 x (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 3/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -3/2 binary32) (.f32 x x)))) x))

rewrite409.0ms (4.2%)

Memory

24.2MiB live, 816.0MiB allocated

Rules

6 920×	`lower-fma.f64`
6 914×	`lower-fma.f32`
4 990×	`lower-*.f64`
4 986×	`lower-*.f32`
4 400×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	145
0	30	142
1	118	125
2	915	125
0	8360	121

Stop Event

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

Counts

7 → 377

Calls

Call 1

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

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

eval60.0ms (0.6%)

Memory: -48.6MiB live, 164.4MiB allocated
Compiler: Compiled 23 446 to 2 413 computations (89.7% saved)

prune73.0ms (0.8%)

Memory

18.0MiB live, 179.2MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	459	1	460
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	460	6	466

Accuracy

100.0%

Counts

466 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.3%	(neg.f32 (log.f32 (/.f32 (fma.f32 x (+.f32 #s(approx (- x (sqrt (+ (* x x) -1))) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32)) (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
✓	51.7%	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
✓	97.4%	(neg.f32 (log.f32 #s(approx (/ (/ 1 (+ x (sqrt (+ (* x x) -1)))) 1) (/.f32 #s(literal 1/2 binary32) x))))
✓	51.7%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	98.2%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
✓	96.7%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))))

Compiler

Compiled 288 to 102 computations (64.6% saved)

regimes12.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.2%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes97.0ms (1%)

Memory

-30.7MiB live, 7.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

94.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
1.0ms	x
1.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.4%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes4.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
96.7%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary32`
4×	`*-commutative_binary32`
2×	`neg-sub0_binary32`
2×	`1-exp_binary64`
2×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	46
1	35	46
2	37	46
3	38	46

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness458.0ms (4.7%)

Memory

-1.0MiB live, 349.9MiB allocated

Rules

11 048×	`lower-fma.f64`
11 048×	`lower-fma.f32`
10 204×	`lower-fma.f64`
10 204×	`lower-fma.f32`
6 164×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	31
0	12	31
1	49	31
2	322	31
3	3626	31
0	8646	27
0	150	595
1	411	569
2	1143	562
3	3327	524
4	7966	524
0	8526	495
0	246	2778
1	685	2596
2	1995	2523
0	8479	2440

Stop Event

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

Compiler

Compiled 51 to 35 computations (31.4% saved)

preprocess32.0ms (0.3%)

Memory: -9.5MiB live, 76.1MiB allocated
Compiler: Compiled 88 to 58 computations (34.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample580.0ms (6%)

explain97.0ms (1%)

preprocess704.0ms (7.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify598.0ms (6.2%)

localize23.0ms (0.2%)

series8.0ms (0.1%)

simplify613.0ms (6.3%)

rewrite563.0ms (5.8%)

eval52.0ms (0.5%)

prune67.0ms (0.7%)

simplify590.0ms (6.1%)

localize115.0ms (1.2%)

series104.0ms (1.1%)

simplify344.0ms (3.5%)

rewrite401.0ms (4.1%)

eval166.0ms (1.7%)

prune168.0ms (1.7%)

simplify358.0ms (3.7%)

localize174.0ms (1.8%)

series18.0ms (0.2%)

simplify389.0ms (4%)

rewrite451.0ms (4.6%)

eval160.0ms (1.6%)

prune487.0ms (5%)

simplify750.0ms (7.7%)

localize152.0ms (1.6%)

series5.0ms (0%)

simplify436.0ms (4.5%)

rewrite409.0ms (4.2%)

eval60.0ms (0.6%)

prune73.0ms (0.8%)

regimes12.0ms (0.1%)

regimes97.0ms (1%)

regimes4.0ms (0%)

simplify6.0ms (0.1%)

soundness458.0ms (4.7%)

preprocess32.0ms (0.3%)

end0.0ms (0%)

Profiling