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)

sample472.0ms (5.2%)

Memory

6.6MiB live, 635.0MiB allocated

Samples

274.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-acosh: 95.0ms (71% of total)

ival->=: 30.0ms (22.4% of total)

exact: 6.0ms (4.5% of total)

ival-assert: 3.0ms (2.2% of total)

Bogosity

explain100.0ms (1.1%)

Memory

16.3MiB live, 218.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(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	133	0
↳	`(*.f32 x x)`	overflow	133
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	133
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	2	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	2
↳	`(*.f32 x x)`	overflow	133
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	133

Confusion

	Predicted +	Predicted -
+	133	0
-	0	123

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	123
1	131
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 80 to 25 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-log: 9.0ms (34.7% of total)

ival-mult: 8.0ms (30.9% of total)

ival-sqrt: 3.0ms (11.6% of total)

ival-sub: 2.0ms (7.7% of total)

ival-add: 2.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess449.0ms (5%)

Memory

-1.6MiB live, 537.1MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify499.0ms (5.5%)

Memory

-21.3MiB live, 474.9MiB 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)

localize24.0ms (0.3%)

Memory

4.7MiB live, 40.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.0078125	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	0.23770357089805544	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	14.297746382506508	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

16.0ms

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 (22.9% of total)

ival-mult: 2.0ms (22.9% of total)

ival-sqrt: 2.0ms (22.9% of total)

ival-sub: 1.0ms (11.5% of total)

ival-add: 1.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
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)
0.0ms	x	@	0	(- (* x x) 1)

simplify284.0ms (3.1%)

Memory

-8.1MiB live, 304.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	559
1	411	533
2	1143	526
3	3327	488
4	7966	488
0	8526	459

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(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))))))

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 (/.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)) (.f32 (.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (.f32 (*.f32 x x) #s(literal 3/40 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 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) (/.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))

rewrite460.0ms (5.1%)

Memory

-10.6MiB live, 322.3MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 320

Calls

Call 1

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

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

eval41.0ms (0.5%)

Memory: -2.2MiB live, 80.9MiB allocated
Compiler: Compiled 10 641 to 1 536 computations (85.6% saved)

prune140.0ms (1.5%)

Memory

6.7MiB live, 160.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	361	6	367
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	362	6	368

Accuracy

100.0%

Counts

368 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
▶	51.4%	(log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
▶	51.4%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	98.6%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
▶	97.9%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))))
	97.8%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))

Compiler

Compiled 112 to 74 computations (33.9% saved)

simplify286.0ms (3.2%)

Memory

2.0MiB live, 443.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
cost-diff	0	(sqrt.f32 x)
cost-diff	0	(log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
cost-diff	736	(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #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	(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
cost-diff	0	#s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
cost-diff	0	(+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
cost-diff	0	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
cost-diff	0	#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 #s(literal 1 binary32))
cost-diff	0	(sqrt.f32 (+.f32 x #s(literal 1 binary32)))
cost-diff	0	(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
cost-diff	0	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))

Rules

15 310×	`lower-fma.f64`
15 304×	`lower-fma.f32`
3 216×	`lower-+.f64`
3 206×	`lower-+.f32`
2 260×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	179
0	51	168
1	68	168
2	84	168
3	112	168
4	203	168
5	581	168
6	1896	168
7	5255	168
0	8620	168

Stop Event

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

Calls

Call 1

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

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

localize165.0ms (1.8%)

Memory

41.3MiB live, 151.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f32 x)
accuracy	0.08203125	(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
accuracy	0.23770357089805544	(log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
accuracy	14.297746382506508	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	0	(fma.f32 x x #s(literal -1 binary32))
accuracy	0.0078125	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
accuracy	0.23770357089805544	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
accuracy	14.297746382506508	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	0	(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
accuracy	0.0078125	(+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
accuracy	0.23770357089805544	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
accuracy	0.25249878746800797	#s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
accuracy	0	(*.f32 x #s(literal 2 binary32))
accuracy	0.23770357089805544	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))))
accuracy	0.5227378444791435	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32)))
accuracy	0.00390625	(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
accuracy	0.0078125	(sqrt.f32 (+.f32 x #s(literal 1 binary32)))
accuracy	0.0625	(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
accuracy	0.23770357089805544	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))

Samples

138.0ms

256×

valid

Compiler

Compiled 167 to 30 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-add: 68.0ms (72.1% of total)

ival-log: 9.0ms (9.5% of total)

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

ival-mult: 5.0ms (5.3% of total)

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

ival-sub: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.6%)

Memory

-24.8MiB live, 24.0MiB allocated

Counts

19 → 228

Calls

Call 1

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

Outputs
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) (patch (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) (patch (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) (patch (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) (patch (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) (patch (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 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 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) (patch (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 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 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) (patch (log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f32 x) (patch (sqrt.f32 x) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (patch (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (patch (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (patch (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (patch (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (patch (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (patch (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (patch (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (patch (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (patch (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (patch (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (patch (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (patch (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #<representation binary32>) () ())) ())

Calls

57 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	(+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)
2.0ms	x	@	-inf	(log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x))
1.0ms	x	@	-inf	(sqrt (+ x 1))
1.0ms	x	@	-inf	(log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))))
0.0ms	x	@	-inf	(sqrt (+ x -1))

simplify545.0ms (6%)

Memory

-82.2MiB live, 419.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 688×	`lower-fma.f64`
13 688×	`lower-fma.f32`
5 174×	`lower-+.f64`
5 174×	`lower-+.f32`
3 638×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	3045
1	1052	2611
2	3463	2540
0	8205	2419

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 222

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

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)))))
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(- (+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))
(+.f32 (-.f32 (log.f32 #s(literal 0 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/2 binary32) #s(literal 0 binary32)))
(- (+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* -1/24 (/ (+ (* 3 (/ 1 (+ 1 (pow (sqrt -1) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))
(+.f32 (+.f32 (-.f32 (log.f32 #s(literal 0 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/2 binary32) #s(literal 0 binary32))) (/.f32 (.f32 (/.f32 #s(literal 3 binary32) #s(literal 0 binary32)) #s(literal -1/12 binary32)) (.f32 (.f32 x x) (.f32 x x))))
(- (+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (+ 1 (pow (sqrt -1) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (* -1/720 (/ (+ (* 45 (/ 1 (+ 1 (pow (sqrt -1) 2)))) (+ (* 45 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6)))))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))
(+.f32 (-.f32 (log.f32 #s(literal 0 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 (.f32 (/.f32 #s(literal 3 binary32) #s(literal 0 binary32)) #s(literal -1/12 binary32)) (.f32 (.f32 x x) (.f32 x x))) (fma.f32 #s(literal -1/720 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 45 binary32) #s(literal 0 binary32)) (/.f32 #s(literal 30 binary32) #s(literal 0 binary32))) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) #s(literal 0 binary32)))))
(sqrt x)
(sqrt.f32 x)
(sqrt x)
(sqrt.f32 x)
(sqrt x)
(sqrt.f32 x)
(sqrt x)
(sqrt.f32 x)
(sqrt x)
(sqrt.f32 x)
(sqrt x)
(sqrt.f32 x)
(sqrt x)
(sqrt.f32 x)
(sqrt x)
(sqrt.f32 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f32 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f32 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f32 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f32 x)
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 x (fma.f32 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) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 x (fma.f32 x (fma.f32 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)))
(sqrt x)
(sqrt.f32 x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(.f32 x (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f32 x)
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f32 x (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f32 x (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f32 (neg.f32 x) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))))

rewrite399.0ms (4.4%)

Memory

-17.1MiB live, 419.6MiB allocated

Rules

7 204×	`lower-fma.f64`
7 198×	`lower-fma.f32`
3 998×	`lower-/.f64`
3 996×	`lower-/.f32`
3 408×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	153
0	51	154
1	183	136
2	1302	136
0	8439	136

Stop Event

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

Counts

19 → 805

Calls

Call 1

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

Outputs
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(+.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)))))) (log.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))))))
(+.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)))))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))
(+.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)))))) (neg.f32 (log.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 (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)))))) (neg.f32 (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))
(+.f32 (log.f32 (fma.f32 x x (neg.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 (log.f32 (fma.f32 x x (neg.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 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(-.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)))))) (log.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 (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)))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(-.f32 (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(-.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(-.f32 (log.f32 (neg.f32 (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 (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 (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))))))) (log.f32 (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))
(-.f32 (log.f32 (neg.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(-.f32 (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)))) (log.f32 (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(/.f32 (-.f32 (pow.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)))))) #s(literal 3 binary32)) (pow.f32 (log.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 3 binary32))) (fma.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)))))) (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)))))) (fma.f32 (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) (log.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 (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)))))) (log.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 (-.f32 (pow.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)))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 x x (-.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 (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)))))) (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)))))) (fma.f32 (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (.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)))))) (log.f32 (fma.f32 x x (-.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 (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32))) (fma.f32 (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 (log.f32 (-.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))))) (*.f32 (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal 3 binary32))) (fma.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) (fma.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))))
(/.f32 (-.f32 (.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)))))) (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 (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) (log.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 (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)))))) (log.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 (-.f32 (.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)))))) (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 (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))) (+.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)))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))
(/.f32 (-.f32 (.f32 (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))) (.f32 (log.f32 (-.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))))))) (+.f32 (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (-.f32 (.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x)))) (.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))) (+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(log.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 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
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(+.f32 (log.f32 (fma.f32 x x (neg.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 (log.f32 (fma.f32 x x (neg.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 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(-.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)))))) (log.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 (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)))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(-.f32 (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(-.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(-.f32 (log.f32 (neg.f32 (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 (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 (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))))))) (log.f32 (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))
(-.f32 (log.f32 (neg.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(-.f32 (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)))) (log.f32 (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(/.f32 (-.f32 (pow.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)))))) #s(literal 3 binary32)) (pow.f32 (log.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 3 binary32))) (fma.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)))))) (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)))))) (fma.f32 (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) (log.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 (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)))))) (log.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 (-.f32 (pow.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)))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 x x (-.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 (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)))))) (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)))))) (fma.f32 (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (.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)))))) (log.f32 (fma.f32 x x (-.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 (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 3 binary32))) (fma.f32 (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 (log.f32 (-.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))))) (*.f32 (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #s(literal 3 binary32))) (fma.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) (fma.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))))
(/.f32 (-.f32 (.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)))))) (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 (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) (log.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 (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)))))) (log.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 (-.f32 (.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)))))) (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 (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))) (+.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)))))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))
(/.f32 (-.f32 (.f32 (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))) (.f32 (log.f32 (-.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))))))) (+.f32 (log.f32 (fma.f32 x x (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (-.f32 (.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x))) (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 x x)))) (.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))) (+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 x)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 1/4 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log.f32 x)) #s(literal 1 binary32)))
(fabs.f32 (sqrt.f32 x))
(fabs.f32 (neg.f32 (sqrt.f32 x)))
(pow.f32 x #s(literal 1/2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 x) #s(literal 1 binary32))
(pow.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 1/8 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 x)) #s(literal 2 binary32))
(sqrt.f32 x)
(*.f32 #s(literal 1 binary32) (sqrt.f32 x))
(*.f32 (sqrt.f32 x) #s(literal 1 binary32))
(*.f32 (sqrt.f32 x) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 x) (pow.f32 #s(literal 1 binary32) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 x)) (sqrt.f32 (sqrt.f32 x)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 x))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/4 binary32)) (sqrt.f32 x))
(.f32 (pow.f32 (sqrt.f32 x) #s(literal 1/4 binary32)) (pow.f32 (.f32 x (sqrt.f32 x)) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 x (sqrt.f32 x)) #s(literal 1/4 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (sqrt.f32 x)) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (sqrt.f32 x)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) (.f32 (log1p.f32 x) #s(literal 1/2 binary32))))
(pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)) (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (+.f32 x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x (.f32 x (*.f32 x x)) (fma.f32 x x #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x x x))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (sqrt.f32 (-.f32 #s(literal -1 binary32) x)))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (+.f32 x #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (pow.f32 (/.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (/.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 x #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (fma.f32 x (.f32 x x) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (fma.f32 x (.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
(.f32 (sqrt.f32 (fma.f32 x (.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
(*.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (+.f32 (sqrt.f32 x) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (sqrt.f32 x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (+.f32 (sqrt.f32 x) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (sqrt.f32 x) #s(literal -1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (pow.f32 (+.f32 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)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))) (/.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/4 binary32))))

eval169.0ms (1.9%)

Memory: 24.2MiB live, 259.9MiB allocated
Compiler: Compiled 30 894 to 3 449 computations (88.8% saved)

prune277.0ms (3.1%)

Memory

2.7MiB live, 389.7MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 266	5	1 271
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 269	8	1 277

Accuracy

100.0%

Counts

1 277 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
✓	51.4%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	51.4%	(log.f32 (+.f32 (sqrt.f32 (+.f32 (*.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) x))
✓	98.6%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
▶	44.5%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
▶	97.9%	(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)))
▶	1.3%	(log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32)))
▶	97.8%	#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))

Compiler

Compiled 113 to 69 computations (38.9% saved)

simplify324.0ms (3.6%)

Memory

0.3MiB live, 412.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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 (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))
cost-diff	0	(log.f32 (+.f32 (sqrt.f32 (+.f32 (*.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) x))
cost-diff	64	(neg.f32 (+.f32 x #s(literal 1 binary32)))
cost-diff	64	(*.f32 x (+.f32 x #s(literal 1 binary32)))
cost-diff	192	(+.f32 (*.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))
cost-diff	0	#s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))
cost-diff	0	#s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))
cost-diff	0	(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))
cost-diff	0	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
cost-diff	0	#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32))
cost-diff	0	(log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32)))
cost-diff	0	(+.f32 x x)
cost-diff	0	#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))
cost-diff	0	(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)))

Rules

18 726×	`lower-fma.f64`
18 726×	`lower-fma.f32`
3 428×	`lower-+.f64`
3 416×	`lower-+.f32`
3 036×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	223
0	60	203
1	88	194
2	151	194
3	301	194
4	715	194
5	2694	194
6	4548	194
7	6498	194
8	6994	194
9	7054	194
10	7133	194
11	7307	194
12	7702	194
0	8411	181

Stop Event

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

Calls

Call 1

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

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

localize217.0ms (2.4%)

Memory

-25.0MiB live, 175.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(log.f32 x)
accuracy	0	(log.f32 #s(literal 2 binary32))
accuracy	0.26953125	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
accuracy	0.42750876521440423	#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))
accuracy	0.0078125	(*.f32 x (+.f32 x #s(literal 1 binary32)))
accuracy	0.060878759768442016	(+.f32 (*.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))
accuracy	0.23770357089805544	(log.f32 (+.f32 (sqrt.f32 (+.f32 (*.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) x))
accuracy	14.297746382506508	(sqrt.f32 (+.f32 (*.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32)))))
accuracy	0.0078125	(+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))
accuracy	0.23770357089805544	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
accuracy	0.25249878746800797	#s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))
accuracy	30.982513464346933	#s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))
accuracy	0.23770357089805544	(log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32)))
accuracy	30.5765638498719	#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32))
accuracy	0	(+.f32 x x)
accuracy	0.23770357089805544	(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)))
accuracy	0.5227378444791435	#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))

Samples

104.0ms

256×

valid

Compiler

Compiled 173 to 38 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-log: 38.0ms (41% of total)

ival-sqrt: 31.0ms (33.4% of total)

ival-add: 13.0ms (14% of total)

ival-mult: 6.0ms (6.5% of total)

ival-div: 2.0ms (2.2% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series290.0ms (3.2%)

Memory

-14.1MiB live, 193.4MiB allocated

Counts

18 → 204

Calls

Call 1

Inputs
#s(alt (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) (patch (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) (patch #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) #<representation binary32>) () ())
#s(alt (+.f32 x x) (patch (+.f32 x x) #<representation binary32>) () ())
#s(alt (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32))) (patch (log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32)) (patch #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32)) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) (patch (log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))))) #<representation binary32>) () ())
#s(alt (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) (patch (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())
#s(alt #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) (patch #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())
#s(alt (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32)))) (patch (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 x (+.f32 x #s(literal 1 binary32))) (patch (.f32 x (+.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (neg.f32 (+.f32 x #s(literal 1 binary32))) (patch (neg.f32 (+.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) x)) (patch (log.f32 (+.f32 (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) x)) #<representation binary32>) () ())
#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.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 (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) (patch (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) #<representation binary32>) () ())

Outputs
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) (patch (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) (patch (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) (patch (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) (patch (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) (patch (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) (patch (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x 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 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) (patch (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x 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 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) (patch (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) (patch (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) (taylor -inf x) (#s(alt (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) (patch (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) (taylor -inf x) (#s(alt (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) (patch (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) (taylor -inf x) (#s(alt (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) (patch (log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) (patch #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) (patch #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) (patch #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) (patch #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) (patch #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* x (- 2 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) (patch #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) (patch #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x 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 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) (patch #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (pow (sqrt -1) 2) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) (patch #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) (patch #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) (patch #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)) #<representation binary32>) () ())) ())
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#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) x)) (patch (log.f32 (+.f32 (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) x)) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.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 #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.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 (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.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 (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) (taylor -inf x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) (taylor -inf x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) (taylor -inf x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.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 (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) (patch (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 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 (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) (patch (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 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 (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) (patch (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 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 (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) (patch (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) (patch (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 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 (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) (patch (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 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 (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) (patch (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 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 (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) (patch (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) (patch (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 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 (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) (patch (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 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 (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) (patch (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 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 (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) (patch (sqrt.f32 (+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (neg.f32 (+.f32 x #s(literal 1 binary32))))) #<representation binary32>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
159.0ms	x	@	0	(+ (log 2) (log x))
74.0ms	x	@	inf	(+ (log 2) (log x))
46.0ms	x	@	-inf	(+ (log 2) (log x))
0.0ms	x	@	-inf	(+ (* x (+ x 1)) (neg (+ x 1)))
0.0ms	x	@	inf	(+ x x)

simplify263.0ms (2.9%)

Memory

23.9MiB live, 485.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 116×	`lower-fma.f64`
12 116×	`lower-fma.f32`
5 060×	`lower-*.f64`
5 060×	`lower-*.f32`
2 928×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	283	2650
1	788	2137
2	2486	1928
0	8211	1853

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 199

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 (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(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 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(* 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 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))
(- (+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))
(- (+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* -1/24 (/ (+ (* 3 (/ 1 (+ 1 (pow (sqrt -1) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))
(- (+ (log (+ 1 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (+ 1 (pow (sqrt -1) 2)))) (* 3 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2)))) (pow x 4))) (* -1/720 (/ (+ (* 45 (/ 1 (+ 1 (pow (sqrt -1) 2)))) (+ (* 45 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 2))) (* 30 (/ 1 (pow (+ 1 (pow (sqrt -1) 2)) 3))))) (pow x 6)))))) (/ 1/2 (* (pow x 2) (+ 1 (pow (sqrt -1) 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 (* x (+ 1 (pow (sqrt -1) 2))))
(* -1 (* x (- (+ 1 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) (pow (sqrt -1) 2)))))
(* -1 (* x (- (+ 1 (+ (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))) (pow (sqrt -1) 2))) (* 1/2 (/ 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))))))
(/ -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)))
-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))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+ (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 (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 (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(+ (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)
(+ (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))))))

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 #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))))
(+ (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 #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))))
(+ (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 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.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 (log.f32 #s(literal 2 binary32)) (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 (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal -3/32 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(fma.f32 (+.f32 (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal -15 binary32)) (/.f32 #s(literal 1/720 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal -3/32 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (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 #s(literal 1/8 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(* 2 x)
(+.f32 x x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (+.f32 x (/.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 (* x (- (pow (sqrt -1) 2) 1)))
(+.f32 x x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(neg.f32 (fma.f32 x (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (*.f32 x x))))) (/.f32 #s(literal 1/2 binary32) x)))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(neg.f32 (fma.f32 x (/.f32 #s(literal 1/16 binary32) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)) (pow.f32 x #s(literal 6 binary32)))) (fma.f32 x (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal 1/2 binary32) x))))
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 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))))
(+ (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 #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))))
(+ (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 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.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 (log.f32 #s(literal 2 binary32)) (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 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal 0 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log (+ 1 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (pow (sqrt -1) 2))))))
(+.f32 (-.f32 (log.f32 #s(literal 0 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1 binary32) #s(literal 0 binary32)))
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(+.f32 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.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 (log.f32 #s(literal 2 binary32)) (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 (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal -3/32 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(fma.f32 (+.f32 (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal -15 binary32)) (/.f32 #s(literal 1/720 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal -3/32 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) 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) (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))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (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 #s(literal 1/8 binary32) (.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) (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 x (.f32 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)))))
(+.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)))))
(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 x (/.f32 #s(literal -1/2 binary32) x)))
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f32 (/.f32 (+.f32 #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 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))

rewrite297.0ms (3.3%)

Memory

39.9MiB live, 502.3MiB allocated

Rules

4 726×	`lower-/.f64`
4 724×	`lower-/.f32`
4 286×	`lower-fma.f64`
4 286×	`lower-fma.f32`
3 890×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	196
0	60	176
1	223	161
2	1878	161
0	8614	149

Stop Event

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

Counts

18 → 697

Calls

Call 1

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

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

eval113.0ms (1.3%)

Memory: 14.4MiB live, 204.7MiB allocated
Compiler: Compiled 23 726 to 3 645 computations (84.6% saved)

prune188.0ms (2.1%)

Memory

-56.5MiB live, 368.0MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	894	2	896
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	895	9	904

Accuracy

100.0%

Counts

904 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
✓	51.4%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	51.4%	(log.f32 (+.f32 (sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))) x))
✓	98.6%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
✓	44.5%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
✓	97.9%	(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)))
✓	1.3%	(log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32)))
▶	97.8%	#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))))
✓	97.8%	#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))

Compiler

Compiled 82 to 52 computations (36.6% saved)

simplify595.0ms (6.6%)

Memory

31.0MiB live, 416.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32))))
cost-diff	0	(+.f32 (sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))) x)
cost-diff	0	(log.f32 (+.f32 (sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))) x))
cost-diff	192	(-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))
cost-diff	0	(*.f32 #s(literal 2 binary32) (sqrt.f32 x))
cost-diff	0	(log.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)))
cost-diff	0	#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))))
cost-diff	64	(+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))

Rules

23 314×	`lower-fma.f64`
23 312×	`lower-fma.f32`
3 126×	`lower-*.f64`
3 122×	`lower-*.f32`
2 588×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	102
0	38	102
1	56	102
2	81	90
3	148	90
4	276	90
5	982	90
6	2624	90
7	4768	90
8	6386	90
9	7355	90
10	7809	90
0	8106	83

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (0.7%)

Memory

14.7MiB live, 95.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f32 (sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))) x)
accuracy	0.060878759768442016	(-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))
accuracy	0.23770357089805544	(log.f32 (+.f32 (sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))) x))
accuracy	14.297746382506508	(sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32))))
accuracy	0	(log.f32 x)
accuracy	0.01953125	(log.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)))
accuracy	0.30078125	(+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))
accuracy	0.42750876521440423	#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))))

Samples

44.0ms

256×

valid

Compiler

Compiled 98 to 26 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-log: 9.0ms (25.6% of total)

ival-add: 8.0ms (22.8% of total)

ival-mult: 6.0ms (17.1% of total)

ival-sqrt: 6.0ms (17.1% of total)

ival-sub: 5.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

series100.0ms (1.1%)

Memory

-26.7MiB live, 126.0MiB allocated

Counts

9 → 108

Calls

Call 1

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

Outputs
#s(alt (+ (log (* 2 (sqrt x))) (* 1/2 (log x))) (taylor 0 x) (#s(alt (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) (patch (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (sqrt x))) (* 1/2 (log x))) (taylor 0 x) (#s(alt (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) (patch (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (sqrt x))) (* 1/2 (log x))) (taylor 0 x) (#s(alt (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) (patch (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (sqrt x))) (* 1/2 (log x))) (taylor 0 x) (#s(alt (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) (patch (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* -1/2 (log (/ 1 x))))) (taylor inf x) (#s(alt (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) (patch (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* -1/2 (log (/ 1 x))))) (taylor inf x) (#s(alt (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) (patch (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* -1/2 (log (/ 1 x))))) (taylor inf x) (#s(alt (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) (patch (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* -1/2 (log (/ 1 x))))) (taylor inf x) (#s(alt (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) (patch (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (* 1/2 (+ (log -1) (* -1 (log (/ -1 x))))))) (taylor -inf x) (#s(alt (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) (patch (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (* 1/2 (+ (log -1) (* -1 (log (/ -1 x))))))) (taylor -inf x) (#s(alt (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) (patch (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (* 1/2 (+ (log -1) (* -1 (log (/ -1 x))))))) (taylor -inf x) (#s(alt (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) (patch (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (* 1/2 (+ (log -1) (* -1 (log (/ -1 x))))))) (taylor -inf x) (#s(alt (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) (patch (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 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 #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 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 #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 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 #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) (taylor -inf x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))) (taylor -inf x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) (taylor -inf x) (#s(alt #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) (patch #s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (log (* 2 (sqrt x))) (taylor 0 x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (patch (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (log (* 2 (sqrt x))) (taylor 0 x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (patch (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (log (* 2 (sqrt x))) (taylor 0 x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (patch (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (log (* 2 (sqrt x))) (taylor 0 x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (patch (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (patch (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (patch (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (patch (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (patch (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (patch (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (patch (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (patch (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #<representation binary32>) () ())) ())
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Calls

27 calls:

Time	Variable		Point	Expression
66.0ms	x	@	0	(+ (log (* 2 (sqrt x))) (* (log x) 1/2))
17.0ms	x	@	-inf	(+ (log (* 2 (sqrt x))) (* (log x) 1/2))
6.0ms	x	@	inf	(+ (log (* 2 (sqrt x))) (* (log x) 1/2))
0.0ms	x	@	-inf	(log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x))
0.0ms	x	@	-inf	(log (* 2 (sqrt x)))

simplify301.0ms (3.3%)

Memory

-8.2MiB live, 400.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 534×	`lower-fma.f64`
10 534×	`lower-fma.f32`
4 062×	`lower-*.f64`
4 062×	`lower-*.f32`
3 648×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	1333
1	575	1102
2	1681	1076
3	4351	1050
0	8590	997

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 107

Calls

Call 1

Inputs
(+ (log (* 2 (sqrt x))) (* 1/2 (log x)))
(+ (log (* 2 (sqrt x))) (* 1/2 (log x)))
(+ (log (* 2 (sqrt x))) (* 1/2 (log x)))
(+ (log (* 2 (sqrt x))) (* 1/2 (log x)))
(+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* -1/2 (log (/ 1 x)))))
(+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* -1/2 (log (/ 1 x)))))
(+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* -1/2 (log (/ 1 x)))))
(+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* -1/2 (log (/ 1 x)))))
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (* 1/2 (+ (log -1) (* -1 (log (/ -1 x)))))))
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (* 1/2 (+ (log -1) (* -1 (log (/ -1 x)))))))
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (* 1/2 (+ (log -1) (* -1 (log (/ -1 x)))))))
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (* 1/2 (+ (log -1) (* -1 (log (/ -1 x)))))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+ (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 (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(log (* 2 (sqrt x)))
(log (* 2 (sqrt x)))
(log (* 2 (sqrt x)))
(log (* 2 (sqrt x)))
(+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 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))))
(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))))))
(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))))

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

rewrite673.0ms (7.4%)

Memory

50.3MiB live, 391.0MiB allocated

Rules

4 582×	`lower-*.f64`
4 578×	`lower-*.f32`
4 492×	`lower-fma.f64`
4 490×	`lower-fma.f32`
4 196×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	84
0	38	82
1	141	67
2	1229	65
0	8256	60

Stop Event

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

Counts

9 → 470

Calls

Call 1

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

Outputs
(+.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (.f32 (log.f32 x) #s(literal 1/2 binary32)))
(+.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))))
(pow.f32 (/.f32 (fma.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) (log.f32 (/.f32 (sqrt.f32 x) (.f32 #s(literal 2 binary32) (sqrt.f32 x)))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 2 binary32))) (fma.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (log.f32 (/.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))) (.f32 (log.f32 (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))) (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))))) #s(literal -1 binary32))
(fma.f32 (log.f32 x) #s(literal 1/2 binary32) (log.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x))))
(fma.f32 #s(literal 1/2 binary32) (log.f32 x) (log.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x))))
(-.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 2 binary32)) (log.f32 (/.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x)))) (/.f32 (pow.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x)))))
(-.f32 (/.f32 (pow.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 (sqrt.f32 x) (.f32 #s(literal 2 binary32) (sqrt.f32 x))))) (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 2 binary32)) (log.f32 (/.f32 (sqrt.f32 x) (.f32 #s(literal 2 binary32) (sqrt.f32 x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) (log.f32 (/.f32 (sqrt.f32 x) (.f32 #s(literal 2 binary32) (sqrt.f32 x)))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 2 binary32))) (fma.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (/.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))) (.f32 (log.f32 (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))) (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) (log.f32 (/.f32 (sqrt.f32 x) (.f32 #s(literal 2 binary32) (sqrt.f32 x)))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 2 binary32))) (fma.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 3 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (log.f32 (/.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))) (.f32 (log.f32 (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))) (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x)))))))
(/.f32 (fma.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 3 binary32))) (fma.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) (log.f32 (/.f32 (sqrt.f32 x) (.f32 #s(literal 2 binary32) (sqrt.f32 x)))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 2 binary32))))
(/.f32 (fma.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 2 binary32)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (*.f32 (log.f32 x) #s(literal 1/2 binary32))))))
(/.f32 (.f32 (log.f32 (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))) (log.f32 (/.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x)))) (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) (log.f32 (/.f32 (sqrt.f32 x) (.f32 #s(literal 2 binary32) (sqrt.f32 x)))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 2 binary32)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) (*.f32 (log.f32 x) #s(literal 1/2 binary32)))))))
(/.f32 (neg.f32 (.f32 (log.f32 (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))) (log.f32 (/.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))))) (neg.f32 (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x)))))
(/.f32 (-.f32 (pow.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 2 binary32))) (log.f32 (/.f32 (sqrt.f32 x) (*.f32 #s(literal 2 binary32) (sqrt.f32 x)))))
(/.f32 (-.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 2 binary32)) (log.f32 (/.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x)))) (.f32 (log.f32 (/.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))) (pow.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (.f32 (log.f32 (/.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))) (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) (log.f32 (/.f32 (sqrt.f32 x) (.f32 #s(literal 2 binary32) (sqrt.f32 x)))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (.f32 (log.f32 (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))) (log.f32 (/.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x)))))) (neg.f32 (neg.f32 (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 2 binary32)))) (neg.f32 (log.f32 (/.f32 (sqrt.f32 x) (*.f32 #s(literal 2 binary32) (sqrt.f32 x))))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 (sqrt.f32 x) (sqrt.f32 x))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 (log.f32 (.f32 (sqrt.f32 x) (sqrt.f32 x))) (log.f32 (.f32 (sqrt.f32 x) (sqrt.f32 x)))) (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (.f32 (sqrt.f32 x) (sqrt.f32 x)))))))
(.f32 (fma.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) (log.f32 (/.f32 (sqrt.f32 x) (.f32 #s(literal 2 binary32) (sqrt.f32 x)))) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x))) #s(literal 2 binary32)))))
(.f32 (.f32 (log.f32 (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))) (log.f32 (/.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x)))) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x)))))
(log.f32 (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x)))
(log.f32 (.f32 (sqrt.f32 x) (.f32 #s(literal 2 binary32) (sqrt.f32 x))))
#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (log.f32 (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 x)) (sqrt.f32 x))))
(+.f32 (*.f32 (log.f32 x) #s(literal 1/2 binary32)) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) (*.f32 (log.f32 x) #s(literal 1/2 binary32)))
(fma.f32 (log.f32 x) #s(literal 1/2 binary32) (log.f32 #s(literal 2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 x) (log.f32 #s(literal 2 binary32)))
(-.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) (sqrt.f32 x)))) (/.f32 (pow.f32 (*.f32 (log.f32 x) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 #s(literal 2 binary32) (sqrt.f32 x)))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (log.f32 x) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (.f32 (log.f32 #s(literal 2 binary32)) (.f32 (log.f32 x) #s(literal 1/2 binary32))))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (log.f32 x) #s(literal 1/2 binary32)) #s(literal 2 binary32))) (log.f32 (/.f32 #s(literal 2 binary32) (sqrt.f32 x))))
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(.f32 (pow.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (.f32 (+.f32 x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (sqrt.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (sqrt.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(.f32 (sqrt.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (.f32 (+.f32 x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))))
(.f32 (sqrt.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32)))) (sqrt.f32 (sqrt.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (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)))))
(.f32 (sqrt.f32 (sqrt.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (sqrt.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))))) (sqrt.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32)))))
(+.f32 (log.f32 x) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log.f32 x))
(log.f32 x)

eval297.0ms (3.3%)

Memory: -18.0MiB live, 102.8MiB allocated
Compiler: Compiled 19 860 to 2 691 computations (86.5% saved)

prune174.0ms (1.9%)

Memory

-8.1MiB live, 190.1MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	576	1	577
Fresh	0	0	0
Picked	1	1	2
Done	0	7	7
Total	577	9	586

Accuracy

100.0%

Counts

586 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
✓	51.4%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	51.4%	(log.f32 (+.f32 (sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))) x))
✓	98.6%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
✓	44.5%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) #s(approx (+ x (/ -1/2 x)) (/.f32 #s(literal -1/2 binary32) x)))))
✓	97.9%	(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)))
✓	1.3%	(log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32)))
	97.8%	#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (fma.f32 (log.f32 x) #s(literal 1/2 binary32) (log.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 x)))))
✓	97.8%	#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))

Compiler

Compiled 210 to 105 computations (50% saved)

regimes14.0ms (0.2%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs
(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 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
99.3%	1	`x`
99.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes32.0ms (0.3%)

Memory

-27.0MiB live, 20.1MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
3.0ms	x
3.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.6%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes4.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
1.3%	1	`x`
1.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
1.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify68.0ms (0.8%)

Memory

-25.7MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	57
1	41	57

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness574.0ms (6.3%)

Memory

10.4MiB live, 398.3MiB allocated

Rules

13 688×	`lower-fma.f64`
13 688×	`lower-fma.f32`
10 204×	`lower-fma.f64`
10 204×	`lower-fma.f32`
5 174×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	559
1	411	533
2	1143	526
3	3327	488
4	7966	488
0	8526	459
0	369	3045
1	1052	2611
2	3463	2540
0	8205	2419
0	7	28
0	12	28
1	49	28
2	322	28
3	3626	28
0	8646	24

Stop Event

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

Compiler

Compiled 121 to 73 computations (39.7% saved)

preprocess84.0ms (0.9%)

Memory: -33.6MiB live, 119.0MiB allocated
Compiler: Compiled 104 to 68 computations (34.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample472.0ms (5.2%)

explain100.0ms (1.1%)

preprocess449.0ms (5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify499.0ms (5.5%)

localize24.0ms (0.3%)

series5.0ms (0.1%)

simplify284.0ms (3.1%)

rewrite460.0ms (5.1%)

eval41.0ms (0.5%)

prune140.0ms (1.5%)

simplify286.0ms (3.2%)

localize165.0ms (1.8%)

series56.0ms (0.6%)

simplify545.0ms (6%)

rewrite399.0ms (4.4%)

eval169.0ms (1.9%)

prune277.0ms (3.1%)

simplify324.0ms (3.6%)

localize217.0ms (2.4%)

series290.0ms (3.2%)

simplify263.0ms (2.9%)

rewrite297.0ms (3.3%)

eval113.0ms (1.3%)

prune188.0ms (2.1%)

simplify595.0ms (6.6%)

localize61.0ms (0.7%)

series100.0ms (1.1%)

simplify301.0ms (3.3%)

rewrite673.0ms (7.4%)

eval297.0ms (3.3%)

prune174.0ms (1.9%)

regimes14.0ms (0.2%)

regimes32.0ms (0.3%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

simplify68.0ms (0.8%)

soundness574.0ms (6.3%)

preprocess84.0ms (0.9%)

end0.0ms (0%)

Profiling