Metrics for Rust f32::acosh

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample487.0ms (4.6%)

Memory

-8.3MiB live, 757.6MiB allocated

Samples

313.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-acosh: 144.0ms (80.5% of total)

ival->=: 24.0ms (13.4% of total)

exact: 7.0ms (3.9% of total)

ival-assert: 4.0ms (2.2% of total)

Bogosity

preprocess1.1s (10.8%)

Memory

-18.2MiB live, 656.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain181.0ms (1.7%)

Memory

30.2MiB live, 185.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
117	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
5	-	-	`(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	117	0
↳	`(*.f32 x x)`	overflow	117
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	117
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	5	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	5
↳	`(*.f32 x x)`	overflow	117
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	117

Confusion

	Predicted +	Predicted -
+	117	0
-	0	139

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	117	0	0
-	0	0	139

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	139
1	112
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

90.0ms

512×

valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

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

ival-log: 21.0ms (60.5% of total)

ival-mult: 4.0ms (11.5% of total)

ival-sqrt: 4.0ms (11.5% of total)

ival-add: 3.0ms (8.6% of total)

ival-sub: 2.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify758.0ms (7.2%)

Memory

-38.7MiB live, 824.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)

localize25.0ms (0.2%)

Memory

9.9MiB live, 48.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	accuracy	98.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	accuracy	61.0%	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

16.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

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

ival-log: 3.0ms (33.3% of total)

ival-mult: 2.0ms (22.2% of total)

ival-sqrt: 2.0ms (22.2% of total)

ival-sub: 1.0ms (11.1% of total)

ival-add: 1.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
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)

rewrite357.0ms (3.4%)

Memory

-3.7MiB live, 549.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 328

Calls

Call 1

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

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

simplify458.0ms (4.3%)

Memory

-7.4MiB live, 547.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

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

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

eval39.0ms (0.4%)

Memory: 23.0MiB live, 99.9MiB allocated
Compiler: Compiled 10 788 to 1 571 computations (85.4% saved)

prune65.0ms (0.6%)

Memory

2.3MiB live, 158.6MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	378	9	387
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	379	9	388

Accuracy

100.0%

Counts

388 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.5%	(-.f32 (log.f32 (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
▶	96.2%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
	98.1%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
▶	96.7%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
	57.2%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
	96.7%	(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
▶	98.1%	(log.f32 (+.f32 x (*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))))
▶	57.2%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
▶	95.4%	(log.f32 (*.f32 x #s(literal 2 binary32)))

Compiler

Compiled 212 to 134 computations (36.8% saved)

simplify479.0ms (4.5%)

Memory

-21.5MiB live, 537.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

19 624×	`lower-fma.f64`
19 622×	`lower-fma.f32`
3 162×	`lower-+.f64`
3 152×	`lower-+.f32`
2 722×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	133
0	43	133
1	60	133
2	86	133
3	122	133
4	208	125
5	380	125
6	1186	125
7	3437	125
8	4943	125
9	5817	125
10	6346	125
11	6430	125
12	6467	125
13	6509	125
14	7137	125
15	7780	125
0	8016	119

Stop Event

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

Calls

Call 1

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

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

localize92.0ms (0.9%)

Memory

-7.8MiB live, 159.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(log.f32 #s(literal 2 binary32))
✓	accuracy	99.0%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	accuracy	100.0%	(*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))))
✓	accuracy	98.1%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
✓	accuracy	61.0%	(sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))
✓	accuracy	100.0%	(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	98.1%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	98.2%	(log.f32 (*.f32 x #s(literal 2 binary32)))
✓	accuracy	100.0%	(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
✓	accuracy	99.9%	(+.f32 x (*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32)))))
✓	accuracy	98.6%	(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))
✓	accuracy	98.1%	(log.f32 (+.f32 x (*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))))

Samples

61.0ms

256×

valid

Compiler

Compiled 137 to 26 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-log: 27.0ms (57% of total)

ival-add: 7.0ms (14.8% of total)

ival-mult: 5.0ms (10.6% of total)

ival-sqrt: 5.0ms (10.6% of total)

ival-div: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

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

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

series163.0ms (1.5%)

Memory

24.2MiB live, 218.0MiB allocated

Counts

17 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
48.0ms	x	@	0	(+ (log 2) (log x))
40.0ms	x	@	-inf	(+ (log 2) (log x))
26.0ms	x	@	0	(log (* x 2))
20.0ms	x	@	-inf	(log (* x 2))
7.0ms	x	@	inf	(log (* x 2))

rewrite421.0ms (4%)

Memory

4.1MiB live, 668.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 866×	`lower-fma.f64`
11 864×	`lower-fma.f32`
5 182×	`lower-*.f64`
5 176×	`lower-*.f32`
3 732×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
0	43	104
1	127	90
2	925	90
0	9213	83

Stop Event

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

Counts

17 → 797

Calls

Call 1

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

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

simplify789.0ms (7.5%)

Memory

-114.6MiB live, 541.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 350×	`lower-fma.f64`
11 350×	`lower-fma.f32`
3 636×	`lower-+.f64`
3 636×	`lower-+.f32`
3 406×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	349	2544
1	989	2005
2	3160	1985
0	8004	1893

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 190

Calls

Call 1

Inputs
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 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))))))))
(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)
(+ (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 (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
1
(+ 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)))))))
(* 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 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 -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (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 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 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)))
(/ -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)
-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 (- (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))))))))
(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 (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

Outputs
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal 1/8 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(* 2 x)
(+.f32 x x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (-.f32 #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 #s(literal 2 binary32) (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(+.f32 x x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(.f32 x (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x)))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (.f32 x x))))) (neg.f32 x))
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 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 (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 (+.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 (log.f32 x) (+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (+.f32 (log.f32 #s(literal -2 binary32)) (/.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 (/.f32 #s(literal -3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (fma.f32 (+.f32 (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal -15 binary32)) (/.f32 #s(literal 1/720 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 x (.f32 x (fma.f32 #s(literal 1/8 binary32) (.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (.f32 x x) (fma.f32 (.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)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x (*.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 (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 x (*.f32 x x)) x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
(.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (neg.f32 (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (/.f32 #s(literal 1/16 binary32) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))))))))
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 1/2 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 1/2 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)))) (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 (* (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 (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 (* 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (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 1/8 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)))))) (neg.f32 x))
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
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(+ (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (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 (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) (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 (* (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 (fma.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) (neg.f32 x))

eval177.0ms (1.7%)

Memory: -1.6MiB live, 183.9MiB allocated
Compiler: Compiled 20 707 to 2 943 computations (85.8% saved)

prune138.0ms (1.3%)

Memory

-5.8MiB live, 288.2MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	984	3	987
Fresh	0	4	4
Picked	2	3	5
Done	0	0	0
Total	986	10	996

Accuracy

100.0%

Counts

996 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.5%	(-.f32 (log.f32 (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
✓	96.2%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
	57.2%	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
▶	98.1%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
✓	96.7%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
▶	57.2%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	96.7%	(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
▶	44.1%	(log.f32 (+.f32 x (*.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))))
✓	57.2%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
▶	95.4%	(log.f32 (+.f32 x x))

Compiler

Compiled 204 to 126 computations (38.2% saved)

simplify521.0ms (4.9%)

Memory

-22.2MiB live, 617.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

15 978×	`lower-fma.f64`
15 974×	`lower-fma.f32`
3 062×	`lower-+.f64`
3 048×	`lower-+.f32`
2 754×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	130
0	44	124
1	63	124
2	75	124
3	91	124
4	120	124
5	180	124
6	349	124
7	633	124
8	2242	124
9	3480	124
10	4890	124
11	5707	124
12	6164	124
13	6359	124
14	6448	124
15	6771	124
16	7559	124
17	7785	124
0	8013	122

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

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

localize248.0ms (2.3%)

Memory

31.7MiB live, 148.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f32 x #s(literal -1 binary32))
✓	accuracy	100.0%	(*.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))
✓	accuracy	100.0%	(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
✓	accuracy	99.9%	(log.f32 (+.f32 x (*.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))))
✓	accuracy	100.0%	(fma.f32 x x #s(literal -1 binary32))
✓	accuracy	99.9%	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
✓	accuracy	98.1%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	accuracy	61.0%	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	100.0%	(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
✓	accuracy	99.9%	(+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
✓	accuracy	98.1%	(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
✓	accuracy	100.0%	(+.f32 x x)
✓	accuracy	98.2%	(log.f32 (+.f32 x x))
✓	accuracy	100.0%	(sqrt.f32 (+.f32 x #s(literal 1 binary32)))
✓	accuracy	100.0%	(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
✓	accuracy	99.8%	(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
✓	accuracy	98.1%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))

Samples

169.0ms

256×

valid

Compiler

Compiled 138 to 27 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-add: 74.0ms (46.8% of total)

ival-log: 72.0ms (45.6% of total)

ival-mult: 5.0ms (3.2% of total)

ival-sqrt: 5.0ms (3.2% of total)

ival-div: 2.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (0.6%)

Memory

-9.6MiB live, 66.8MiB allocated

Counts

19 → 228

Calls

Call 1

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

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

57 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(+ x (* 1 (sqrt (+ x -1))))
15.0ms	x	@	inf	(log (+ x x))
8.0ms	x	@	-inf	(log (+ x x))
2.0ms	x	@	-inf	(log (+ x (* 1 (sqrt (+ x -1)))))
1.0ms	x	@	inf	(log (+ x (* 1 (sqrt (+ x -1)))))

rewrite157.0ms (1.5%)

Memory

13.8MiB live, 134.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

792×	`lower-fma.f64`
788×	`lower-fma.f32`
510×	`lower-*.f64`
508×	`lower-*.f32`
488×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	112
0	44	112
1	165	100
0	1352	98

Stop Event

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

Counts

19 → 279

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

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

simplify496.0ms (4.7%)

Memory

-16.3MiB live, 772.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 060×	`lower-fma.f64`
13 060×	`lower-fma.f32`
5 604×	`lower-+.f64`
5 604×	`lower-+.f32`
4 748×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	522	3432
1	1487	2856
2	4777	2811
0	8254	2654

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 221

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)))
(+ (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 -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (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 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 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)))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(/ -1/2 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))))
(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)))))))
(log (sqrt -1))
(+ (log (sqrt -1)) (* x (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (pow (sqrt -1) 2))))))
(+ (log (sqrt -1)) (* x (+ (* 1/2 (* x (- (* -1 (/ (pow (+ 1 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (sqrt -1))))))
(+ (log (sqrt -1)) (* x (+ (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* x (+ (* 1/6 (* x (+ (* 3/4 (/ (+ 1 (* 1/2 (/ 1 (sqrt -1)))) (pow (sqrt -1) 5))) (+ (* 2 (/ (pow (+ 1 (* 1/2 (/ 1 (sqrt -1)))) 3) (pow (sqrt -1) 3))) (* 3/8 (/ 1 (pow (sqrt -1) 6))))))) (* 1/2 (- (* -1 (/ (pow (+ 1 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4))))))) (/ 1 (sqrt -1))))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (sqrt (/ 1 x))))))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (* 1/24 (/ (- (* -3 (* (sqrt (pow x 3)) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (* 3 (/ x (pow (+ 1 (sqrt (/ 1 x))) 2)))) (pow x 4))))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (+ (* 1/720 (/ (- (+ (* -45 (* (sqrt (pow x 5)) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (* -30 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt (/ 1 x))) 3))))) (* 45 (/ (pow x 2) (pow (+ 1 (sqrt (/ 1 x))) 2)))) (pow x 6))) (* 1/24 (/ (- (* -3 (* (sqrt (pow x 3)) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (* 3 (/ x (pow (+ 1 (sqrt (/ 1 x))) 2)))) (pow x 4)))))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1))))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (+ (* -1 (log (/ -1 x))) (+ (* 1/24 (/ (+ (* -3 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))) (* 3 (/ (* x (pow (sqrt -1) 2)) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 2)))) (pow x 4))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (+ (* -1 (log (/ -1 x))) (+ (* 1/720 (/ (+ (* 30 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 4) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 3)))) (+ (* 45 (* (sqrt (pow x 5)) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))) (* 45 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 2))))) (pow x 6))) (+ (* 1/24 (/ (+ (* -3 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))) (* 3 (/ (* x (pow (sqrt -1) 2)) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 2)))) (pow x 4))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1))))))))
(sqrt -1)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))
(+ (sqrt -1) (* x (+ 1 (+ (* 1/2 (/ 1 (sqrt -1))) (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))))))
(* x (+ 1 (sqrt (/ 1 x))))
(* x (+ 1 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ 1 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))))
(* x (+ 1 (+ (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 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -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)))
(* -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)))
(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
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))

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 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 3/40 binary32) (/.f32 (.f32 x x) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
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(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (neg.f32 (sqrt.f32 (.f32 x (.f32 x x)))) (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) (/.f32 (.f32 x #s(literal -3 binary32)) (.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))) (.f32 (.f32 x x) (.f32 x x))) (-.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) (neg.f32 (log.f32 (neg.f32 x))))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (+ (* -1 (log (/ -1 x))) (+ (* 1/720 (/ (+ (* 30 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 4) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 3)))) (+ (* 45 (* (sqrt (pow x 5)) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))) (* 45 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 2))))) (pow x 6))) (+ (* 1/24 (/ (+ (* -3 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))) (* 3 (/ (* x (pow (sqrt -1) 2)) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 2)))) (pow x 4))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1))))))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) (fma.f32 #s(literal 1/720 binary32) (/.f32 (fma.f32 #s(literal 45 binary32) (.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) (+.f32 (sqrt.f32 (pow.f32 x #s(literal 5 binary32))) (/.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))) (/.f32 (.f32 #s(literal 30 binary32) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)) (sqrt.f32 (.f32 x (.f32 x x))))) (.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))))) (pow.f32 x #s(literal 6 binary32))) (fma.f32 #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (neg.f32 (sqrt.f32 (.f32 x (.f32 x x)))) (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) (/.f32 (.f32 x #s(literal -3 binary32)) (.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))) (.f32 (.f32 x x) (.f32 x x))) (-.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) (neg.f32 (log.f32 (neg.f32 x)))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 x (+.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 (+ 1 (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (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)))) x))
(+ (sqrt -1) (* x (+ 1 (+ (* 1/2 (/ 1 (sqrt -1))) (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (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)))) x))
(* x (+ 1 (sqrt (/ 1 x))))
(fma.f32 x (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) x)
(* x (+ 1 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
(fma.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)
(* x (+ 1 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))))
(fma.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) x)
(* x (+ 1 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))))
(fma.f32 x (+.f32 (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))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32)))) x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))
(neg.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (neg.f32 x) (neg.f32 x)))
(* -1 (* x (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(.f32 x (fma.f32 #s(literal 1 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))) #s(literal 1 binary32)))
(* -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)))
(.f32 (neg.f32 x) (+.f32 (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)))) (fma.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1 binary32))))
(* -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)))
(.f32 (neg.f32 x) (+.f32 (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) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) (fma.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) #s(literal -1 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) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(.f32 x (+.f32 (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))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32)))))
(* -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) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (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) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (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
#s(literal -1 binary32)
(- x 1)
(+.f32 #s(literal -1 binary32) x)
(- x 1)
(+.f32 #s(literal -1 binary32) x)
(- x 1)
(+.f32 #s(literal -1 binary32) x)
x
(* x (- 1 (/ 1 x)))
(+.f32 #s(literal -1 binary32) x)
(* x (- 1 (/ 1 x)))
(+.f32 #s(literal -1 binary32) x)
(* x (- 1 (/ 1 x)))
(+.f32 #s(literal -1 binary32) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f32 #s(literal -1 binary32) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f32 #s(literal -1 binary32) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f32 #s(literal -1 binary32) x)

eval50.0ms (0.5%)

Memory: 29.9MiB live, 103.3MiB allocated
Compiler: Compiled 8 917 to 1 532 computations (82.8% saved)

prune66.0ms (0.6%)

Memory

-19.6MiB live, 158.6MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	553	1	554
Fresh	0	2	2
Picked	1	4	5
Done	0	3	3
Total	554	10	564

Accuracy

100.0%

Counts

564 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.5%	(-.f32 (log.f32 (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
✓	96.2%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	57.2%	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
✓	98.1%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
✓	96.7%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
✓	57.2%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	96.7%	(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
✓	57.2%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
▶	44.3%	(log.f32 (+.f32 x (sqrt.f32 x)))
✓	95.4%	(log.f32 (+.f32 x x))

Compiler

Compiled 111 to 69 computations (37.8% saved)

simplify339.0ms (3.2%)

Memory

16.7MiB live, 442.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

14 378×	`lower-fma.f64`
14 372×	`lower-fma.f32`
3 332×	`lower-*.f64`
3 328×	`lower-*.f32`
2 680×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	181
0	39	176
1	64	174
2	103	174
3	221	174
4	560	174
5	1328	174
6	3016	174
7	4941	174
8	6786	174
9	7687	174
0	8005	168

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (1.1%)

Memory

-17.7MiB live, 219.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	61.0%	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
✓	accuracy	57.2%	(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))))
✓	accuracy	39.4%	(log.f32 (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
✓	accuracy	17.5%	(-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
✓	accuracy	99.9%	(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
✓	accuracy	98.7%	(/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
✓	accuracy	61.0%	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
✓	accuracy	100.0%	(sqrt.f32 x)
✓	accuracy	100.0%	(+.f32 x (sqrt.f32 x))
✓	accuracy	100.0%	(log.f32 (+.f32 x (sqrt.f32 x)))

Samples

78.0ms	203×	1	valid
9.0ms	53×	0	valid

Compiler

Compiled 212 to 24 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-log: 17.0ms (25.9% of total)

adjust: 11.0ms (16.8% of total)

ival-add: 10.0ms (15.3% of total)

ival-mult: 9.0ms (13.7% of total)

ival-sqrt: 9.0ms (13.7% of total)

ival-sub: 4.0ms (6.1% of total)

ival-div: 3.0ms (4.6% of total)

ival-neg: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (0.7%)

Memory

30.9MiB live, 69.9MiB allocated

Counts

14 → 168

Calls

Call 1

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

Outputs
#s(alt (log (sqrt x)) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 x))) (patch (log.f32 (+.f32 x (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt x)) (sqrt x)) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 x))) (patch (log.f32 (+.f32 x (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt x)) (* x (- (sqrt (/ 1 x)) 1/2))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 x))) (patch (log.f32 (+.f32 x (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (sqrt x)) (* x (+ (sqrt (/ 1 x)) (* x (- (* 1/3 (sqrt (/ 1 x))) (* 1/2 (/ 1 x))))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 x))) (patch (log.f32 (+.f32 x (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 x))) (patch (log.f32 (+.f32 x (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 x))) (patch (log.f32 (+.f32 x (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 x))) (patch (log.f32 (+.f32 x (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 x))) (patch (log.f32 (+.f32 x (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 x))) (patch (log.f32 (+.f32 x (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 x))) (patch (log.f32 (+.f32 x (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 x))) (patch (log.f32 (+.f32 x (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 (+.f32 x (sqrt.f32 x))) (patch (log.f32 (+.f32 x (sqrt.f32 x))) #<representation binary32>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (+.f32 x (sqrt.f32 x)) (patch (+.f32 x (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (+ x (sqrt x)) (taylor 0 x) (#s(alt (+.f32 x (sqrt.f32 x)) (patch (+.f32 x (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (+ x (sqrt x)) (taylor 0 x) (#s(alt (+.f32 x (sqrt.f32 x)) (patch (+.f32 x (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (+ x (sqrt x)) (taylor 0 x) (#s(alt (+.f32 x (sqrt.f32 x)) (patch (+.f32 x (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (sqrt (/ 1 x)))) (taylor inf x) (#s(alt (+.f32 x (sqrt.f32 x)) (patch (+.f32 x (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (sqrt (/ 1 x)))) (taylor inf x) (#s(alt (+.f32 x (sqrt.f32 x)) (patch (+.f32 x (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (sqrt (/ 1 x)))) (taylor inf x) (#s(alt (+.f32 x (sqrt.f32 x)) (patch (+.f32 x (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* x (+ 1 (sqrt (/ 1 x)))) (taylor inf x) (#s(alt (+.f32 x (sqrt.f32 x)) (patch (+.f32 x (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1))) (taylor -inf x) (#s(alt (+.f32 x (sqrt.f32 x)) (patch (+.f32 x (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1))) (taylor -inf x) (#s(alt (+.f32 x (sqrt.f32 x)) (patch (+.f32 x (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1))) (taylor -inf x) (#s(alt (+.f32 x (sqrt.f32 x)) (patch (+.f32 x (sqrt.f32 x)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1))) (taylor -inf x) (#s(alt (+.f32 x (sqrt.f32 x)) (patch (+.f32 x (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 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>) () ())) ())
#s(alt (log (/ 1 (sqrt -1))) (taylor 0 x) (#s(alt (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (patch (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1)))) (taylor 0 x) (#s(alt (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (patch (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (patch (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (+ (log (/ 1 (sqrt -1))) (* x (- (* (pow x 2) (+ (* -3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (patch (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (+ (log 1/2) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (patch (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (patch (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (+ (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 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (patch (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (+ (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 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (patch (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (+ (log -2) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (patch (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (patch (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (+ (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 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (patch (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (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 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (patch (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (log (/ 1 (sqrt -1)))) (taylor 0 x) (#s(alt (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (patch (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (- (/ x (sqrt -1)) (log (/ 1 (sqrt -1)))) (taylor 0 x) (#s(alt (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (patch (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1)))) (taylor 0 x) (#s(alt (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (patch (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1)))) (taylor 0 x) (#s(alt (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (patch (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ (log 1/2) (log (/ 1 x)))) (taylor inf x) (#s(alt (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (patch (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) #<representation binary32>) () ())) ())
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#s(alt (- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1)) (taylor 0 x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1)) (taylor 0 x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ 1/2 x) (taylor inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) (taylor inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x) (taylor inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) (taylor -inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2))) (taylor -inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2))) (taylor -inf x) (#s(alt (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (patch (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (log -1) (taylor 0 x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* x (sqrt -1))) (taylor 0 x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4)))))) (taylor 0 x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4))))))) (taylor 0 x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (* -2 (log (/ 1 x))) (taylor inf x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (- (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -2 (log (/ 1 x))) (/ 1/12 (pow x 6))) (* 1/2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -2 (log (/ 1 x))) (+ (/ 1/12 (pow x 6)) (* 5/64 (/ 1 (pow x 8))))) (* 1/2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (+ (log 3) (* -2 (log (/ -1 x)))) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))))) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (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)))) (patch (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)))) #<representation binary32>) () ())) ())

Calls

42 calls:

Time	Variable		Point	Expression
40.0ms	x	@	-inf	(log (+ x (sqrt x)))
14.0ms	x	@	inf	(log (+ x (sqrt x)))
1.0ms	x	@	0	(log (/ 1 (+ x (sqrt (+ (* x x) -1)))))
1.0ms	x	@	inf	(- (log (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1))))) (log (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))))
1.0ms	x	@	-inf	(- (log (+ (* x (* x x)) (* (+ (* x x) -1) (sqrt (+ (* x x) -1))))) (log (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))))

rewrite490.0ms (4.6%)

Memory

-21.0MiB live, 732.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 850×	`lower-fma.f64`
9 844×	`lower-fma.f32`
3 982×	`lower-/.f64`
3 980×	`lower-/.f32`
3 706×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	149
0	39	124
1	154	112
2	1205	112
0	8560	110

Stop Event

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

Counts

14 → 759

Calls

Call 1

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

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

simplify378.0ms (3.6%)

Memory

3.4MiB live, 681.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 800×	`lower-fma.f64`
8 800×	`lower-fma.f32`
4 852×	`lower-*.f64`
4 852×	`lower-*.f32`
4 806×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	2342
1	1413	2106
2	4315	2073
0	8196	1982

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 167

Calls

Call 1

Inputs
(log (sqrt x))
(+ (log (sqrt x)) (sqrt x))
(+ (log (sqrt x)) (* x (- (sqrt (/ 1 x)) 1/2)))
(+ (log (sqrt x)) (* x (+ (sqrt (/ 1 x)) (* x (- (* 1/3 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x))))
(sqrt x)
(+ x (sqrt x))
(+ x (sqrt x))
(+ x (sqrt x))
(* x (+ 1 (sqrt (/ 1 x))))
(* x (+ 1 (sqrt (/ 1 x))))
(* x (+ 1 (sqrt (/ 1 x))))
(* x (+ 1 (sqrt (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))
(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)))
(log (/ 1 (sqrt -1)))
(+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1))))
(+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (/ 1 (sqrt -1))) (* x (- (* (pow x 2) (+ (* -3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* -1 (log (/ 1 (sqrt -1))))
(- (/ x (sqrt -1)) (log (/ 1 (sqrt -1))))
(- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))
(- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log -2) (* -1 (log (/ -1 x)))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))
(/ 1 (sqrt -1))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))
(+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
-1
(- (* -1 (* x (sqrt -1))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1)
(pow x 2)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))
(- (log (sqrt -1)) (log -1))
(- (+ (log (sqrt -1)) (* -1 (* x (sqrt -1)))) (log -1))
(- (+ (log (sqrt -1)) (* x (- (* x (- (* 3/2 (/ 1 (pow (sqrt -1) 2))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (sqrt -1)))) (log -1))
(- (+ (log (sqrt -1)) (* x (- (* x (- (+ (* 3/2 (/ 1 (pow (sqrt -1) 2))) (* x (- (/ 1 (sqrt -1)) (* 1/6 (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (sqrt -1)))) (log -1))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) (* -2 (log (/ 1 x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (+ (* -2 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log -3/2) (* -1 (log (/ -1 x)))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log 3) (* -2 (log (/ -1 x)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log 3) (* -2 (log (/ -1 x)))))
(log (sqrt -1))
(+ (log (sqrt -1)) (* 3/2 (/ (pow x 2) (pow (sqrt -1) 2))))
(+ (log (sqrt -1)) (* (pow x 2) (+ (* 3/2 (/ 1 (pow (sqrt -1) 2))) (/ x (sqrt -1)))))
(+ (log (sqrt -1)) (* (pow x 2) (+ (* x (+ (* 1/24 (* x (- (* -12 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 27 (/ 1 (pow (sqrt -1) 4)))))) (/ 1 (sqrt -1)))) (* 3/2 (/ 1 (pow (sqrt -1) 2))))))
(+ (log 2) (* -3 (log (/ 1 x))))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* 3/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 3/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/32 (/ 1 (pow x 6))))) (+ (/ 3/32 (pow x 4)) (* 3/4 (/ 1 (pow x 2)))))
(+ (log -3/2) (* -1 (log (/ -1 x))))
(- (+ (log -3/2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 7/96 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 7/96 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(sqrt -1)
(+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))
(* 2 (pow x 3))
(* (pow x 3) (- 2 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))
(* 3/2 x)
(* -1 (* x (- (* 3/8 (/ 1 (pow x 2))) 3/2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 4)) (* 3/8 (/ 1 (pow x 2)))) 3/2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 4)) (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) 3/2)))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(* -1 (sqrt -1))
(- x (sqrt -1))
(- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))
(- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(log -1)
(+ (log -1) (* x (sqrt -1)))
(+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))
(+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))
(* -2 (log (/ 1 x)))
(- (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (/ 1/12 (pow x 6))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/12 (pow x 6)) (* 5/64 (/ 1 (pow x 8))))) (* 1/2 (/ 1 (pow x 2))))
(+ (log 3) (* -2 (log (/ -1 x))))
(- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))

Outputs
(log (sqrt x))
(log.f32 (sqrt.f32 x))
(+ (log (sqrt x)) (sqrt x))
(+.f32 (sqrt.f32 x) (log.f32 (sqrt.f32 x)))
(+ (log (sqrt x)) (* x (- (sqrt (/ 1 x)) 1/2)))
(fma.f32 x (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal -1/2 binary32)) (log.f32 (sqrt.f32 x)))
(+ (log (sqrt x)) (* x (+ (sqrt (/ 1 x)) (* x (- (* 1/3 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))))
(fma.f32 x (fma.f32 x (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1/3 binary32) (/.f32 #s(literal -1/2 binary32) x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) (log.f32 (sqrt.f32 x)))
(+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+.f32 (log1p.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) (log.f32 x))
(+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+.f32 (log1p.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) (log.f32 x))
(+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+.f32 (log1p.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) (log.f32 x))
(+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+.f32 (log1p.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) (log.f32 x))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x))))
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(+.f32 (-.f32 (log.f32 #s(literal -3/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (log.f32 #s(literal 3 binary32)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log 3) (* -2 (log (/ -1 x)))))
(+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (-.f32 (log.f32 #s(literal -3/2 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (log.f32 #s(literal 3 binary32)))))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log 3) (* -2 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal -3/2 binary32)) (+.f32 (-.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (log.f32 #s(literal 3 binary32))))))
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (* 3/2 (/ (pow x 2) (pow (sqrt -1) 2))))
(fma.f32 x (*.f32 x #s(literal -3/2 binary32)) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* (pow x 2) (+ (* 3/2 (/ 1 (pow (sqrt -1) 2))) (/ x (sqrt -1)))))
(fma.f32 (*.f32 x x) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal -3/2 binary32)) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* (pow x 2) (+ (* x (+ (* 1/24 (* x (- (* -12 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 27 (/ 1 (pow (sqrt -1) 4)))))) (/ 1 (sqrt -1)))) (* 3/2 (/ 1 (pow (sqrt -1) 2))))))
(fma.f32 x (*.f32 x (fma.f32 x (fma.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 #s(literal -27 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal 3/8 binary32)) x (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -3/2 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log 2) (* -3 (log (/ 1 x))))
(fma.f32 #s(literal 3 binary32) (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* 3/4 (/ 1 (pow x 2))))
(+.f32 (fma.f32 #s(literal 3 binary32) (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -3/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -3 (log (/ 1 x))) (* -1 (/ (+ 3/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 #s(literal 3 binary32) (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 3/4 binary32)) (.f32 x x))))
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (* 1/32 (/ 1 (pow x 6))))) (+ (/ 3/32 (pow x 4)) (* 3/4 (/ 1 (pow x 2)))))
(+.f32 (fma.f32 #s(literal 3 binary32) (log.f32 x) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal -3/4 binary32) (.f32 x x)) (/.f32 #s(literal -3/32 binary32) (.f32 (.f32 x x) (.f32 x x))))))
(+ (log -3/2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -3/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -3/2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal -3/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 7/96 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (-.f32 (log.f32 #s(literal -3/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 7/96 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (log -3/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 7/96 (* 1/32 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal -3/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (+.f32 #s(literal 7/96 binary32) (/.f32 #s(literal 1/32 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 x (*.f32 x (/.f32 #s(literal 3/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))
(fma.f32 x (*.f32 x (+.f32 x (/.f32 #s(literal 3/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))
(fma.f32 (.f32 x x) (+.f32 x (fma.f32 x (/.f32 (.f32 #s(literal -3/8 binary32) x) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 3/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 #s(literal -1 binary32)))
(* 2 (pow x 3))
(.f32 x (.f32 #s(literal 2 binary32) (*.f32 x x)))
(* (pow x 3) (- 2 (* 3/2 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -3/2 binary32) (.f32 x x)))))
(* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 x x)) (+.f32 (/.f32 #s(literal 3/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -3/2 binary32) (*.f32 x x)))))
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))
(.f32 x (.f32 (.f32 x x) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 3/8 binary32) (.f32 (.f32 x x) (.f32 x x)))) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -3/2 binary32) (*.f32 x x))))))
(* 3/2 x)
(*.f32 x #s(literal 3/2 binary32))
(* -1 (* x (- (* 3/8 (/ 1 (pow x 2))) 3/2)))
(neg.f32 (.f32 x (+.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 3/8 binary32) (.f32 x x)))))
(* -1 (* x (- (+ (/ 1/16 (pow x 4)) (* 3/8 (/ 1 (pow x 2)))) 3/2)))
(.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 x x)))) (neg.f32 x))
(* -1 (* x (- (+ (/ 1/16 (pow x 4)) (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) 3/2)))
(.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (/.f32 #s(literal 3/128 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 x x))))) (neg.f32 x))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (.f32 x x) (fma.f32 #s(literal 1/8 binary32) (/.f32 (.f32 x x) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (/.f32 (*.f32 x x) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.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 x (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x 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))) (neg.f32 (.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))))))
(fma.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 x x)) (neg.f32 x))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(.f32 x (neg.f32 (+.f32 (-.f32 #s(literal 1 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) (.f32 x x)))))
(* -1 (sqrt -1))
(neg.f32 (sqrt.f32 #s(literal -1 binary32)))
(- x (sqrt -1))
(-.f32 x (sqrt.f32 #s(literal -1 binary32)))
(- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))
(fma.f32 x (fma.f32 x (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))
(- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))
(fma.f32 x (fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1/2 binary32))) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f32 (+.f32 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))))) (neg.f32 x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(.f32 (+.f32 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))))) (neg.f32 x))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* x (sqrt -1)))
(fma.f32 x (sqrt.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))
(fma.f32 x (fma.f32 x #s(literal -3/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))
(fma.f32 x (fma.f32 x (fma.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -2 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 12 binary32) (/.f32 #s(literal 3 binary32) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 x #s(literal 1/6 binary32)) #s(literal -3/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (log.f32 #s(literal -1 binary32)))
(* -2 (log (/ 1 x)))
(*.f32 #s(literal 2 binary32) (log.f32 x))
(- (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(fma.f32 #s(literal 2 binary32) (log.f32 x) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(- (+ (* -2 (log (/ 1 x))) (/ 1/12 (pow x 6))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (/.f32 #s(literal 1/12 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 #s(literal 2 binary32) (log.f32 x) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/12 (pow x 6)) (* 5/64 (/ 1 (pow x 8))))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (fma.f32 #s(literal 2 binary32) (log.f32 x) (/.f32 #s(literal 1/12 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 (/.f32 #s(literal 5/64 binary32) (pow.f32 x #s(literal 8 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(+ (log 3) (* -2 (log (/ -1 x))))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (log.f32 #s(literal 3 binary32)))
(- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 x x))) (.f32 x x))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -2 binary32) (-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))

eval223.0ms (2.1%)

Memory: 5.9MiB live, 274.4MiB allocated
Compiler: Compiled 50 163 to 3 729 computations (92.6% saved)

prune258.0ms (2.5%)

Memory

-7.1MiB live, 252.3MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1 001	3	1 004
Fresh	0	0	0
Picked	1	2	3
Done	1	6	7
Total	1 003	11	1 014

Accuracy

100.0%

Counts

1 014 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.1%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
✓	57.2%	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
	97.2%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
✓	98.1%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
✓	96.7%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
✓	57.2%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	96.7%	(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
✓	57.2%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
✓	44.3%	(log.f32 (+.f32 x (sqrt.f32 x)))
✓	95.4%	(log.f32 (+.f32 x x))
	27.9%	(log.f32 (sqrt.f32 x))

Compiler

Compiled 252 to 134 computations (46.8% saved)

regimes15.0ms (0.1%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

-16.7MiB live, 21.0MiB allocated

Counts

13 → 1

Calls

Call 1

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

Calls

3 calls:

12.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
4.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
4.0ms	x

Results

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))

Calls

3 calls:

4.0ms	(+.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)))))
3.0ms	x

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.2%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes22.0ms (0.2%)

Memory

-28.1MiB live, 9.4MiB allocated

Accuracy

Total -21.7b remaining (-1462.4%)

Threshold costs -21.7b (-1462.4%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(log.f32 (+.f32 x x))

Calls

3 calls:

18.0ms	(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
95.4%	1	`x`
95.4%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
95.4%	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

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	32
1	27	32
2	29	32
3	30	32

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (10%)

Memory

-13.3MiB live, 427.9MiB allocated

Rules

11 866×	`lower-fma.f64`
11 864×	`lower-fma.f32`
11 350×	`lower-fma.f64`
11 350×	`lower-fma.f32`
8 800×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	2342
1	1413	2106
2	4315	2073
0	8196	1982
0	7	31
0	12	31
1	49	31
2	322	31
3	3626	31
0	8646	27
0	349	2544
1	989	2005
2	3160	1985
0	8004	1893
0	24	108
0	43	104
1	127	90
2	925	90
0	9213	83

Stop Event

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

Compiler

Compiled 95 to 65 computations (31.6% saved)

preprocess152.0ms (1.4%)

Memory: 24.3MiB live, 138.1MiB allocated
Compiler: Compiled 112 to 68 computations (39.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample487.0ms (4.6%)

preprocess1.1s (10.8%)

explain181.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify758.0ms (7.2%)

localize25.0ms (0.2%)

series6.0ms (0.1%)

rewrite357.0ms (3.4%)

simplify458.0ms (4.3%)

eval39.0ms (0.4%)

prune65.0ms (0.6%)

simplify479.0ms (4.5%)

localize92.0ms (0.9%)

series163.0ms (1.5%)

rewrite421.0ms (4%)

simplify789.0ms (7.5%)

eval177.0ms (1.7%)

prune138.0ms (1.3%)

simplify521.0ms (4.9%)

localize248.0ms (2.3%)

series63.0ms (0.6%)

rewrite157.0ms (1.5%)

simplify496.0ms (4.7%)

eval50.0ms (0.5%)

prune66.0ms (0.6%)

simplify339.0ms (3.2%)

localize121.0ms (1.1%)

series70.0ms (0.7%)

rewrite490.0ms (4.6%)

simplify378.0ms (3.6%)

eval223.0ms (2.1%)

prune258.0ms (2.5%)

regimes15.0ms (0.1%)

regimes21.0ms (0.2%)

regimes11.0ms (0.1%)

regimes22.0ms (0.2%)

simplify6.0ms (0.1%)

soundness1.1s (10%)

preprocess152.0ms (1.4%)

end0.0ms (0%)

Profiling