Metrics for Rust f32::acosh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample575.0ms (6.6%)

Memory

3.8MiB live, 796.3MiB allocated

Samples

408.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-acosh: 186.0ms (78.6% of total)

ival->=: 42.0ms (17.7% of total)

exact: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain157.0ms (1.8%)

Memory

-15.9MiB live, 155.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f32`	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	132	0
↳	`(*.f32 x x)`	overflow	132
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	132
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	1	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	1
↳	`(*.f32 x x)`	overflow	132
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	132

Confusion

	Predicted +	Predicted -
+	132	0
-	0	124

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	124
1	131
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 80 to 25 computations (68.8% saved)

Precisions

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

ival-log: 5.0ms (27.6% of total)

ival-sub: 3.0ms (16.6% of total)

ival-mult: 3.0ms (16.6% of total)

ival-sqrt: 3.0ms (16.6% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess564.0ms (6.4%)

Memory

42.7MiB live, 585.9MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify473.0ms (5.4%)

Memory

-15.0MiB live, 392.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize23.0ms (0.3%)

Memory

5.7MiB live, 43.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy	0.01953125	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy	0.1286177565850793	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
accuracy	14.254886696663407	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

15.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

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

ival-log: 3.0ms (34.1% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

simplify353.0ms (4%)

Memory

-12.6MiB live, 356.0MiB 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))

rewrite296.0ms (3.4%)

Memory

-16.7MiB live, 449.2MiB 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)))))

eval65.0ms (0.7%)

Memory: 5.4MiB live, 97.1MiB allocated
Compiler: Compiled 10 641 to 1 536 computations (85.6% saved)

prune76.0ms (0.9%)

Memory

18.9MiB live, 172.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	360	7	367
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	361	7	368

Accuracy

100.0%

Counts

368 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
	51.7%	(log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
▶	51.7%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	51.7%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))))))
▶	99.0%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))))
▶	97.8%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))))
	97.4%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))

Compiler

Compiled 142 to 94 computations (33.8% saved)

simplify420.0ms (4.8%)

Memory

15.5MiB live, 689.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))))))
cost-diff	64	(*.f32 (+.f32 x #s(literal 1 binary32)) x)
cost-diff	160	(*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))
cost-diff	192	(+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))
cost-diff	0	(fma.f32 x x #s(literal -1 binary32))
cost-diff	0	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
cost-diff	0	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
cost-diff	0	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
cost-diff	0	(/.f32 #s(literal -1/2 binary32) x)
cost-diff	0	(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
cost-diff	0	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.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

27 870×	`lower-fma.f64`
27 864×	`lower-fma.f32`
4 002×	`lower-*.f64`
3 996×	`lower-*.f32`
2 884×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	205
0	54	173
1	75	172
2	92	172
3	127	171
4	202	171
5	407	171
6	1923	171
7	3097	171
8	4369	171
9	5107	171
10	5415	171
11	5585	171
12	5670	171
13	5771	171
14	6888	171
15	7797	171
16	7962	171
0	8014	170

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

localize147.0ms (1.7%)

Memory

-18.7MiB live, 181.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(*.f32 (+.f32 x #s(literal 1 binary32)) x)
accuracy	0.045253759768442016	(+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))
accuracy	0.1286177565850793	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))))))
accuracy	14.254886696663407	(sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))))
accuracy	0	(fma.f32 x x #s(literal -1 binary32))
accuracy	0.01953125	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
accuracy	0.1286177565850793	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
accuracy	14.254886696663407	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	0	(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))
accuracy	0	(/.f32 #s(literal -1/2 binary32) x)
accuracy	0.1286177565850793	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))))
accuracy	0.2056460179727018	#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
accuracy	0	(*.f32 x #s(literal 2 binary32))
accuracy	0.1286177565850793	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))))
accuracy	0.7549052181748421	#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	0.00390625	(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
accuracy	0.06640625	(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
accuracy	0.1286177565850793	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))

Samples

119.0ms

256×

valid

Compiler

Compiled 192 to 32 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 51.0ms (61.6% of total)

ival-add: 10.0ms (12.1% of total)

ival-log: 9.0ms (10.9% of total)

ival-sqrt: 8.0ms (9.7% of total)

ival-div: 2.0ms (2.4% of total)

ival-sub: 2.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

-4.4MiB live, 33.4MiB allocated

Counts

21 → 252

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 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) (patch (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))) #<representation binary32>) () ())
#s(alt #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))) (patch #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))) #<representation binary32>) () ())
#s(alt (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)) (patch (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1/2 binary32) x) (patch (/.f32 #s(literal -1/2 binary32) x) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)) #<representation binary32>) () ())
#s(alt (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) #<representation binary32>) () ())
#s(alt (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 x x #s(literal -1 binary32)) (patch (fma.f32 x x #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))) (patch (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)) (patch (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (+.f32 x #s(literal 1 binary32)) x) (patch (.f32 (+.f32 x #s(literal 1 binary32)) x) #<representation binary32>) () ())
#s(alt (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))))) (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))))) #<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 (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) (patch (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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>) () ())) ())
#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 (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 (- (pow (sqrt -1) 2) 1)) (* -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 (- (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 (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 (- (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 (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 (- (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 (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 (sqrt -1) (taylor 0 x) (#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 (+ x (sqrt -1)) (taylor 0 x) (#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 -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#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 -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) (taylor 0 x) (#s(alt (fma.f32 (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 (* 2 x) (taylor inf x) (#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 (* x (- 2 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) (taylor inf x) (#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 (* 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 (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 (* -1 (* x (- (pow (sqrt -1) 2) 1))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1))) (taylor -inf x) (#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 (* -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 (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 (* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (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 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 (+ 1 (* 1/2 x)) (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 (+ 1 (* x (+ 1/2 (* -1/8 x)))) (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 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (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)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 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)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 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 (* -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)))) (* (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))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 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))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 x #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f32 x #s(literal 1 binary32)) (patch (+.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f32 x #s(literal 1 binary32)) (patch (+.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f32 x #s(literal 1 binary32)) (patch (+.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f32 x #s(literal 1 binary32)) (patch (+.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f32 x #s(literal 1 binary32)) (patch (+.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f32 x #s(literal 1 binary32)) (patch (+.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f32 x #s(literal 1 binary32)) (patch (+.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f32 x #s(literal 1 binary32)) (patch (+.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f32 x #s(literal 1 binary32)) (patch (+.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f32 x #s(literal 1 binary32)) (patch (+.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f32 x #s(literal 1 binary32)) (patch (+.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f32 x #s(literal 1 binary32)) (patch (+.f32 x #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f32 x #s(literal 2 binary32)) (patch (.f32 x #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x #s(literal 2 binary32)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x #s(literal 2 binary32)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x #s(literal 2 binary32)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x #s(literal 2 binary32)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x #s(literal 2 binary32)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x #s(literal 2 binary32)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log 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 (+ x (sqrt (- (* x x) 1))) (.f32 x #s(literal 2 binary32)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log 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 (+ x (sqrt (- (* x x) 1))) (.f32 x #s(literal 2 binary32)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x #s(literal 2 binary32)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x #s(literal 2 binary32)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 x #s(literal 2 binary32)))) (patch (log.f32 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f32 x #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (+ (log (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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))))) (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))))) (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))))) (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))))) (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))))) (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))))) (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))))) (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))))) (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))))) (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))))) (patch (log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))))) #<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>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) (patch (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) (patch (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) (patch (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) (patch (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) (patch (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) (patch (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) (patch (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) (patch (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) (patch (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) (patch (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) (patch (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #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 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) (patch (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())

Calls

63 calls:

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

simplify473.0ms (5.4%)

Memory

-11.8MiB live, 271.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 540×	`lower-fma.f64`
10 540×	`lower-fma.f32`
3 616×	`lower-*.f64`
3 616×	`lower-*.f32`
3 608×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	2973
1	927	2646
2	2928	2480
3	7711	2480
0	8092	2353

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 247

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))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
-1
(- (* -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))))
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)))
(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)
(+ (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)))))))
(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 (*.f32 x x) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal 3/40 binary32) (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 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.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 (.f32 x 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)))))))
(+.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal -3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 (fma.f32 #s(literal 1/720 binary32) (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal -1/48 binary32)) (pow.f32 x #s(literal 6 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f32 x (fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 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 x (*.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)))) #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 (.f32 x x) (.f32 x x)))) (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(fma.f32 x #s(literal 2 binary32) (/.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)))))))
(fma.f32 (neg.f32 x) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x 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 (.f32 x x) (.f32 x x)))) (/.f32 #s(literal 1/2 binary32) x))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 x))
(fma.f32 x #s(literal 1/2 binary32) #s(literal 1 binary32))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f32 x (fma.f32 x #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f32 x (fma.f32 x (fma.f32 x #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(sqrt x)
(sqrt.f32 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(.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))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x x) (.f32 x 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)))))
(* 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))))))))
(.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x x) (.f32 x x))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (fma.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 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)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) (neg.f32 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f32 x (neg.f32 (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) (.f32 x (.f32 (.f32 x x) (*.f32 x x))))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f32 (fma.f32 #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) (.f32 x (.f32 (.f32 x x) (*.f32 x x))))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) (neg.f32 x))
1
#s(literal 1 binary32)
(+ 1 x)
(+.f32 x #s(literal 1 binary32))
(+ 1 x)
(+.f32 x #s(literal 1 binary32))
(+ 1 x)
(+.f32 x #s(literal 1 binary32))
x
(* x (+ 1 (/ 1 x)))
(+.f32 x #s(literal 1 binary32))
(* x (+ 1 (/ 1 x)))
(+.f32 x #s(literal 1 binary32))
(* x (+ 1 (/ 1 x)))
(+.f32 x #s(literal 1 binary32))
x
(* x (+ 1 (/ 1 x)))
(+.f32 x #s(literal 1 binary32))
(* x (+ 1 (/ 1 x)))
(+.f32 x #s(literal 1 binary32))
(* x (+ 1 (/ 1 x)))
(+.f32 x #s(literal 1 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
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(fma.f32 (.f32 x x) (fma.f32 x (.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) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (/.f32 (*.f32 x #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 (.f32 x 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))))))
(neg.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) 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))))))
(-.f32 (neg.f32 x) (fma.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -1/2 binary32) 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))))
(*.f32 x (+.f32 x (/.f32 #s(literal -1 binary32) x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (+.f32 x (/.f32 #s(literal -1 binary32) x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (+.f32 x (/.f32 #s(literal -1 binary32) x)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (+.f32 x (/.f32 #s(literal -1 binary32) x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (+.f32 x (/.f32 #s(literal -1 binary32) x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (+.f32 x (/.f32 #s(literal -1 binary32) x)))
-1
#s(literal -1 binary32)
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (+.f32 x (/.f32 #s(literal -1 binary32) x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (+.f32 x (/.f32 #s(literal -1 binary32) x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (+.f32 x (/.f32 #s(literal -1 binary32) x)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (+.f32 x (/.f32 #s(literal -1 binary32) x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (+.f32 x (/.f32 #s(literal -1 binary32) x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f32 x (+.f32 x (/.f32 #s(literal -1 binary32) x)))
-1
#s(literal -1 binary32)
(- (* -1 x) 1)
(-.f32 #s(literal -1 binary32) x)
(- (* -1 x) 1)
(-.f32 #s(literal -1 binary32) x)
(- (* -1 x) 1)
(-.f32 #s(literal -1 binary32) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f32 #s(literal -1 binary32) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f32 #s(literal -1 binary32) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f32 #s(literal -1 binary32) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f32 #s(literal -1 binary32) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f32 #s(literal -1 binary32) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f32 #s(literal -1 binary32) x)
x
(* x (+ 1 x))
(fma.f32 x x x)
(* x (+ 1 x))
(fma.f32 x x x)
(* x (+ 1 x))
(fma.f32 x x x)
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f32 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f32 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f32 x x x)
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f32 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f32 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f32 x 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 (*.f32 x x) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (/.f32 #s(literal 3/40 binary32) (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 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.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 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x 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))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 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) (.f32 x (.f32 (.f32 x x) (.f32 x 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)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x x) (.f32 x x))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 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))))))
(* -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 (neg.f32 x) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (neg.f32 (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 (neg.f32 x) (fma.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x x) (.f32 x x))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (neg.f32 (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 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x x) (.f32 x x))))) (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) (neg.f32 (sqrt.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 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 (.f32 x x) (fma.f32 x (.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) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (/.f32 (*.f32 x #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 (.f32 x 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))))))
(neg.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) 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))))))
(-.f32 (neg.f32 x) (fma.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -1/2 binary32) x)))

rewrite625.0ms (7.1%)

Memory

15.0MiB live, 256.1MiB allocated

Rules

5 970×	`lower-fma.f64`
5 964×	`lower-fma.f32`
4 332×	`lower-/.f64`
4 330×	`lower-/.f32`
3 596×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	172
0	54	156
1	200	140
2	1504	139
0	8702	138

Stop Event

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

Counts

21 → 1 112

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

eval347.0ms (4%)

Memory: 19.2MiB live, 278.1MiB allocated
Compiler: Compiled 42 372 to 5 339 computations (87.4% saved)

prune420.0ms (4.8%)

Memory

-5.3MiB live, 485.5MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 620	3	1 623
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	1 622	8	1 630

Accuracy

100.0%

Counts

1 630 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
▶	51.7%	(log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
▶	44.4%	(log.f32 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
✓	51.7%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	51.7%	(log.f32 (+.f32 (sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))) x))
✓	99.0%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))))
✓	97.8%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 x #s(literal 2 binary32))))
▶	97.4%	#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))

Compiler

Compiled 78 to 52 computations (33.3% saved)

simplify296.0ms (3.4%)

Memory

-9.3MiB live, 512.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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	(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
cost-diff	0	#s(approx (sqrt (+ x 1)) #s(literal 1 binary32))
cost-diff	0	(fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
cost-diff	0	(log.f32 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
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	(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)))

Rules

24 334×	`lower-fma.f64`
24 326×	`lower-fma.f32`
3 144×	`lower-*.f64`
3 144×	`lower-*.f32`
3 002×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	153
0	52	163
1	75	163
2	114	131
3	232	131
4	497	131
5	1869	131
6	4536	131
7	6313	131
8	7945	131
0	8092	130

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

localize70.0ms (0.8%)

Memory

17.2MiB live, 176.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f32 x)
accuracy	0.09765625	(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
accuracy	0.1286177565850793	(log.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
accuracy	14.254886696663407	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
accuracy	0.00390625	(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
accuracy	0.06640625	(fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
accuracy	0.1286177565850793	(log.f32 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
accuracy	27.641320617290102	#s(approx (sqrt (+ x 1)) #s(literal 1 binary32))
accuracy	0.01953125	(+.f32 (sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))) x)
accuracy	0.045253759768442016	(-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))
accuracy	0.1286177565850793	(log.f32 (+.f32 (sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))) x))
accuracy	14.254886696663407	(sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32))))
accuracy	0	(log.f32 x)
accuracy	0	(log.f32 #s(literal 2 binary32))
accuracy	0.265625	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
accuracy	0.5753807534147864	#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))

Samples

45.0ms

256×

valid

Compiler

Compiled 156 to 28 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-log: 11.0ms (32.1% of total)

ival-add: 10.0ms (29.2% of total)

ival-sqrt: 8.0ms (23.4% of total)

ival-mult: 4.0ms (11.7% of total)

ival-sub: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series87.0ms (1%)

Memory

-10.8MiB live, 104.8MiB allocated

Counts

16 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
44.0ms	x	@	0	(+ (log 2) (log x))
28.0ms	x	@	-inf	(+ (log 2) (log x))
6.0ms	x	@	inf	(+ (log 2) (log x))
1.0ms	x	@	-inf	(log (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))))
0.0ms	x	@	-inf	(sqrt x)

simplify361.0ms (4.1%)

Memory

7.7MiB live, 292.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 858×	`lower-fma.f64`
11 858×	`lower-fma.f32`
4 322×	`lower-+.f64`
4 322×	`lower-+.f32`
3 140×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	2699
1	1039	2144
2	3427	2087
0	8203	1991

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

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)))))))
(+ (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))))
-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 (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)))))))
(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)))))))
(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 (/ (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 (.f32 x x) (/.f32 #s(literal 3/40 binary32) (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 #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 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.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 #s(literal -1/4 binary32) (.f32 x x)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -3/32 binary32) (.f32 (.f32 x x) (.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 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -3/32 binary32) (.f32 (.f32 x x) (.f32 x x)))))) (/.f32 (fma.f32 #s(literal 1/720 binary32) (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal -1/48 binary32)) (pow.f32 x #s(literal 6 binary32))))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
-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))))
(.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (.f32 x x)) x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (.f32 x x)) x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (.f32 x x)) x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (.f32 x x)) x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (.f32 x x)) x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (.f32 x 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 (.f32 x x) (/.f32 #s(literal 3/40 binary32) (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 #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 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.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 (/.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 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x)))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
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(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
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(* -1 (* x (- (+ 1 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2))))))
(.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 x x)))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) (pow (sqrt -1) 2)))))
(/.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) (*.f32 x x))
(* -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))))))
(.f32 (neg.f32 x) (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(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 (.f32 x x) (/.f32 #s(literal 3/40 binary32) (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 #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 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.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)))
(- (+ (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 (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))) (/.f32 #s(literal -1 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))) (* -1/720 (/ (+ (* 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 (fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 45 binary32) #s(literal 0 binary32)) (/.f32 #s(literal 30 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1/720 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1 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 (/ (pow x 2) (sqrt -1))))
(fma.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (*.f32 x #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 (.f32 x x) (fma.f32 x (.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (/.f32 x (.f32 x x)) x)
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(neg.f32 (fma.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (/.f32 x (.f32 x x)) x))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(neg.f32 (fma.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) x))

rewrite551.0ms (6.3%)

Memory

-22.6MiB live, 382.1MiB allocated

Rules

4 264×	`lower-*.f64`
4 264×	`lower-*.f32`
4 082×	`lower-/.f64`
4 082×	`lower-/.f32`
3 792×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	130
0	52	131
1	190	102
2	1642	102
0	8384	102

Stop Event

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

Counts

16 → 767

Calls

Call 1

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

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

eval122.0ms (1.4%)

Memory: 35.4MiB live, 221.8MiB allocated
Compiler: Compiled 28 339 to 3 441 computations (87.9% saved)

prune195.0ms (2.2%)

Memory

-20.2MiB live, 337.8MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	972	4	976
Fresh	0	0	0
Picked	2	2	4
Done	1	3	4
Total	975	9	984

Accuracy

100.0%

Counts

984 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
▶	44.5%	(log.f32 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x))
✓	51.7%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	51.7%	(log.f32 (+.f32 (sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))) x))
▶	97.8%	(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)))
▶	99.1%	(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))))
▶	1.3%	(log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32)))
✓	99.0%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))))
✓	97.4%	#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))

Compiler

Compiled 81 to 53 computations (34.6% saved)

simplify223.0ms (2.5%)

Memory

29.4MiB live, 380.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (sqrt (+ x -1)) (sqrt.f32 x))
cost-diff	0	#s(approx (sqrt (+ x 1)) #s(literal 1 binary32))
cost-diff	0	(fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x)
cost-diff	0	(log.f32 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x))
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)))
cost-diff	0	(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
cost-diff	0	#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
cost-diff	0	(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))))
cost-diff	224	(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x 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)))

Rules

14 622×	`lower-fma.f64`
14 620×	`lower-fma.f32`
3 800×	`lower-+.f64`
3 796×	`lower-+.f32`
2 186×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	183
0	46	175
1	69	175
2	110	175
3	215	169
4	437	169
5	1462	169
6	3600	169
7	7736	169
0	8716	160

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (0.8%)

Memory

6.1MiB live, 128.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x)
accuracy	0.1286177565850793	(log.f32 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x))
accuracy	1.8255852533484862	#s(approx (sqrt (+ x -1)) (sqrt.f32 x))
accuracy	27.641320617290102	#s(approx (sqrt (+ x 1)) #s(literal 1 binary32))
accuracy	0	(+.f32 x x)
accuracy	0.1286177565850793	(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)))
accuracy	0.7549052181748421	#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x))
accuracy	0.015625	(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
accuracy	0.1286177565850793	(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))))
accuracy	0.2056460179727018	#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
accuracy	0.9690541413856343	(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
accuracy	0.1286177565850793	(log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32)))
accuracy	30.568291389831572	#s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32))

Samples

36.0ms

256×

valid

Compiler

Compiled 140 to 26 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-add: 7.0ms (25.8% of total)

ival-sqrt: 7.0ms (25.8% of total)

ival-mult: 6.0ms (22.1% of total)

ival-log: 5.0ms (18.4% of total)

ival-div: 2.0ms (7.4% of total)

exact: 1.0ms (3.7% of total)

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

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

series10.0ms (0.1%)

Memory

-17.3MiB live, 20.6MiB allocated

Counts

14 → 168

Calls

Call 1

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

Outputs
#s(alt (log (sqrt -1)) (taylor 0 x) (#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 (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#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 (+ (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) (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 (+ (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) (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 (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#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>) () ())) ())
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#s(alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))) (taylor -inf x) (#s(alt (log.f32 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x)) (patch (log.f32 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x)) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) (patch (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) #<representation binary32>) () ())) ())
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) (patch (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) (patch (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.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 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) (patch (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) (patch (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) #<representation binary32>) () ())) ())
#s(alt (* x (- 2 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) (patch (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.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 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) (patch (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.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 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) (patch (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (pow (sqrt -1) 2) 1))) (taylor -inf x) (#s(alt (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) (patch (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.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 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) (patch (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.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 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) (patch (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) (patch (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (patch #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (patch #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* -1/8 x)))) (taylor 0 x) (#s(alt #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (patch #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (taylor 0 x) (#s(alt #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (patch #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (patch #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (patch #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (taylor inf x) (#s(alt #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (patch #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* 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)))))))) (taylor inf x) (#s(alt #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (patch #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (patch #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (patch #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (patch #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (patch #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) (patch #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) (taylor 0 x) (#s(alt #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) (patch #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) (taylor 0 x) (#s(alt #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) (patch #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) #<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 #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) (patch #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) (patch #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) (patch #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) #<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 #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) (patch #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) #<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 #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) (patch #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) (patch #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) #<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 #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) (patch #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) #<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 #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) (patch #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) #<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 #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) (patch #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #<representation binary32>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (patch (/.f32 #s(literal -1/2 binary32) (.f32 x x)) #<representation binary32>) () ())) ())

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x))
0.0ms	x	@	0	(* x (+ 2 (/ -1/2 (* x x))))
0.0ms	x	@	inf	(* x (+ 2 (/ -1/2 (* x x))))
0.0ms	x	@	0	(/ -1/2 (* x x))
0.0ms	x	@	-inf	(* x (+ 2 (/ -1/2 (* x x))))

simplify344.0ms (3.9%)

Memory

-0.4MiB live, 554.7MiB allocated

Algorithm

1×	egg-herbie

Rules

24 006×	`lower-fma.f64`
24 006×	`lower-fma.f32`
5 702×	`lower-*.f64`
5 702×	`lower-*.f32`
4 378×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	315	2701
1	903	2033
2	3049	1949
0	8201	1873

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log (+ 1 (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))))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(log (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))))))))
(/ -1/2 (pow x 2))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 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 (- (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 (- (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)))))))
(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)))))))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (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 x (*.f32 x (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 x (fma.f32 (.f32 x x) (fma.f32 #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 (log.f32 x) (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 2 binary32))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (log.f32 #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32))))
(+ (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 1/2 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 (log.f32 #s(literal 0 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) #s(literal 0 binary32))) (pow.f32 x #s(literal 4 binary32))) (/.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))) (* -1/720 (/ (+ (* 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))) (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 (/.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) #s(literal 0 binary32))) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) #s(literal 0 binary32)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 x (fma.f32 x (fma.f32 x (*.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)))) #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 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (*.f32 x x))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))))
(* -1 (* x (+ 1 (pow (sqrt -1) 2))))
#s(literal 0 binary32)
(* -1 (* x (- (+ 1 (pow (sqrt -1) 2)) (* 1/2 (/ 1 (pow x 2))))))
(/.f32 (.f32 x #s(literal 1/2 binary32)) (.f32 x x))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) (pow (sqrt -1) 2)))))
(neg.f32 (/.f32 (.f32 x (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x)))) (*.f32 x x)))
(* -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))))))
(.f32 x (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x)
(* 2 x)
(+.f32 x x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* 2 x)
(+.f32 x x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 x (fma.f32 x (*.f32 x (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 x (fma.f32 (.f32 x x) (fma.f32 #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 (log.f32 x) (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 2 binary32))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 x) (+.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (log.f32 #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32))))
(+ (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 (log.f32 #s(literal -2 binary32)) (-.f32 (/.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))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
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(.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)))))
(* 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))))))))
(.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 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (fma.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 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)))) (* (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))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.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 #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))) (/ 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)))))))
(neg.f32 (.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 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 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 #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))))
(* 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 #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)))))
(* 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 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (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 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (fma.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))

rewrite69.0ms (0.8%)

Memory

18.0MiB live, 95.2MiB allocated

Rules

790×	`lower-fma.f64`
788×	`lower-fma.f32`
582×	`lower-*.f64`
578×	`lower-*.f32`
514×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	171
0	46	159
1	166	151
0	1307	141

Stop Event

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

Counts

14 → 113

Calls

Call 1

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

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

eval25.0ms (0.3%)

Memory: -3.6MiB live, 37.9MiB allocated
Compiler: Compiled 4 424 to 579 computations (86.9% saved)

prune33.0ms (0.4%)

Memory

4.2MiB live, 81.3MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	281	0	281
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	281	9	290

Accuracy

100.0%

Counts

290 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
✓	44.5%	(log.f32 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x))
✓	51.7%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	51.7%	(log.f32 (+.f32 (sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))) x))
✓	97.8%	(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (+.f32 x x)))
✓	99.1%	(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))))
✓	1.3%	(log.f32 #s(approx (+ (* (sqrt x) (sqrt x)) (sqrt (+ (* x x) -1))) #s(literal 0 binary32)))
✓	99.0%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))))
✓	97.4%	#s(approx (log (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x)) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))

Compiler

Compiled 209 to 107 computations (48.8% saved)

regimes15.0ms (0.2%)

Memory

-14.1MiB live, 24.0MiB 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 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(log.f32 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 #s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x -1))) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))))
(log.f32 (+.f32 (sqrt.f32 (-.f32 (fma.f32 x x x) (+.f32 x #s(literal 1 binary32)))) x))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))))))
(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)))

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:

5.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
4.0ms	x
4.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.1%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes42.0ms (0.5%)

Memory

-38.5MiB live, 53.4MiB allocated

Counts

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

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

Calls

3 calls:

35.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
4.0ms	x
3.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.0%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB 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 (fma.f32 #s(approx (sqrt (+ x 1)) #s(literal 1 binary32)) #s(approx (sqrt (+ x -1)) (sqrt.f32 x)) x))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes4.0ms (0%)

Memory

8.1MiB live, 8.1MiB 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	x
1.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
1.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

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)

simplify6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary32`
2×	`*-commutative_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	80
1	48	80

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

soundness1.1s (12.2%)

Memory

11.4MiB live, 476.9MiB allocated

Rules

11 858×	`lower-fma.f64`
11 858×	`lower-fma.f32`
10 540×	`lower-fma.f64`
10 540×	`lower-fma.f32`
10 204×	`lower-fma.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	366	2699
1	1039	2144
2	3427	2087
0	8203	1991
0	7	28
0	12	28
1	49	28
2	322	28
3	3626	28
0	8646	24
0	327	2973
1	927	2646
2	2928	2480
3	7711	2480
0	8092	2353

Stop Event

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

Compiler

Compiled 170 to 107 computations (37.1% saved)

preprocess109.0ms (1.2%)

Memory: -4.6MiB live, 74.2MiB allocated
Compiler: Compiled 124 to 78 computations (37.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample575.0ms (6.6%)

explain157.0ms (1.8%)

preprocess564.0ms (6.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify473.0ms (5.4%)

localize23.0ms (0.3%)

series5.0ms (0.1%)

simplify353.0ms (4%)

rewrite296.0ms (3.4%)

eval65.0ms (0.7%)

prune76.0ms (0.9%)

simplify420.0ms (4.8%)

localize147.0ms (1.7%)

series20.0ms (0.2%)

simplify473.0ms (5.4%)

rewrite625.0ms (7.1%)

eval347.0ms (4%)

prune420.0ms (4.8%)

simplify296.0ms (3.4%)

localize70.0ms (0.8%)

series87.0ms (1%)

simplify361.0ms (4.1%)

rewrite551.0ms (6.3%)

eval122.0ms (1.4%)

prune195.0ms (2.2%)

simplify223.0ms (2.5%)

localize68.0ms (0.8%)

series10.0ms (0.1%)

simplify344.0ms (3.9%)

rewrite69.0ms (0.8%)

eval25.0ms (0.3%)

prune33.0ms (0.4%)

regimes15.0ms (0.2%)

regimes11.0ms (0.1%)

regimes42.0ms (0.5%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

simplify6.0ms (0.1%)

soundness1.1s (12.2%)

preprocess109.0ms (1.2%)

end0.0ms (0%)

Profiling