Metrics for Hyperbolic arc-cosine

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze71.0ms (0.8%)

Memory

-11.0MiB live, 149.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample3.0s (35.8%)

Memory

33.9MiB live, 4 281.8MiB allocated

Samples

1.3s	7 067×	1	invalid
1.0s	8 256×	0	valid
64.0ms	1 167×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-log: 432.0ms (26.5% of total)

ival-mult: 358.0ms (22% of total)

ival-add: 258.0ms (15.8% of total)

ival-sqrt: 228.0ms (14% of total)

ival-sub: 181.0ms (11.1% of total)

adjust: 140.0ms (8.6% of total)

ival-true: 13.0ms (0.8% of total)

exact: 11.0ms (0.7% of total)

ival-assert: 7.0ms (0.4% of total)

Bogosity

explain105.0ms (1.2%)

Memory

31.8MiB live, 311.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
118	-	-	`(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))`
1	-	-	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
0	-	-	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	118	0
↳	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	118
↳	`(*.f64 x x)`	overflow	118
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`	oflow-rescue	1	0
↳	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`	overflow	1
↳	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	118
↳	`(*.f64 x x)`	overflow	118

Confusion

	Predicted +	Predicted -
+	118	0
-	0	138

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	0
-	0	0	138

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	138
1	117
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms

512×

valid

Compiler

Compiled 80 to 25 computations (68.8% saved)

Precisions

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

ival-mult: 8.0ms (29.9% of total)

ival-log: 6.0ms (22.4% of total)

ival-sqrt: 6.0ms (22.4% of total)

ival-sub: 3.0ms (11.2% of total)

ival-add: 3.0ms (11.2% of total)

ival-true: 1.0ms (3.7% of total)

exact: 0.0ms (0% of total)

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

preprocess449.0ms (5.3%)

Memory

-14.4MiB live, 425.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	27	19
2	59	19
3	130	19
4	295	19
5	579	19
6	1088	19
7	1677	19
8	3021	19
9	4118	19
10	5059	19
11	5487	19
12	5727	19
13	5799	19
14	5883	19
15	6475	19
16	7565	19
17	7621	19
18	7719	19
19	7753	19
20	7769	19
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×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify614.0ms (7.2%)

Memory

-221.7MiB live, 333.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
cost-diff	128	(-.f64 (*.f64 x x) #s(literal 1 binary64))

Rules

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

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.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
x
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

localize26.0ms (0.3%)

Memory

-7.0MiB live, 70.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.24213559801300433	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
accuracy	27.441394207104842	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

20.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 3.0ms (25.7% of total)

ival-log: 3.0ms (25.7% of total)

ival-mult: 2.0ms (17.1% of total)

ival-sqrt: 2.0ms (17.1% of total)

ival-sub: 1.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-14.9MiB live, 22.1MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#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.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (sqrt -1)) (taylor 0 x) (#s(alt (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) (taylor 0 x) (#s(alt (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#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 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt -1) (taylor 0 x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) (taylor 0 x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#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.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#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.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (log 2) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#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.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#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.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 2 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#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 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#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.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#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.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#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.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) (patch (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) (taylor -inf x) (#s(alt (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) (taylor -inf x) (#s(alt (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#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 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) (patch (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#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.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) (patch (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify198.0ms (2.3%)

Memory

5.5MiB live, 247.8MiB 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	1146	562
3	3331	524
4	7979	524
0	8531	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)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (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.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 3/40 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ x (sqrt -1))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64)))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) x) (fma.f64 (.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(+ (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.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) (sqrt.f64 #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 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))))
(-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (.f64 x x)) #s(literal 3/32 binary64)) (.f64 (.f64 (*.f64 x x) x) x)) (log.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 x x) x) x))) x (/.f64 #s(literal -1/2 binary64) x))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)) x (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(+ (log -1/2) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 #s(literal -1/2 binary64)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x)) (log.f64 #s(literal -1/2 binary64))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x)) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x)) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -5/128 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 x x) x) x)) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite163.0ms (1.9%)

Memory

28.4MiB live, 305.4MiB allocated

Rules

4 994×	`lower-fma.f64`
4 994×	`lower-fma.f32`
3 230×	`lower-*.f32`
3 228×	`lower-*.f64`
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
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x x)

Outputs
(.f64 (exp.f64 (log.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (.f64 x x)))))
(.f64 (exp.f64 (log.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 x x (.f64 (.f64 (.f64 x x) x) x))))))
(*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))) (exp.f64 (log1p.f64 x)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(fma.f64 #s(literal 1 binary64) x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(fma.f64 x (/.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(fma.f64 x #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x)))))
(/.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 x x (.f64 (.f64 (*.f64 x x) x) x))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval72.0ms (0.9%)

Memory: -6.1MiB live, 192.2MiB allocated
Compiler: Compiled 10 847 to 1 555 computations (85.7% saved)

prune53.0ms (0.6%)

Memory

-20.3MiB live, 139.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	383	4	387
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	384	4	388

Accuracy

100.0%

Counts

388 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
▶	99.3%	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
▶	99.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶	99.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify296.0ms (3.5%)

Memory

12.3MiB live, 157.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
cost-diff	0	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
cost-diff	0	(-.f64 x (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	#s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x))))
cost-diff	0	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
cost-diff	128	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(log.f64 #s(literal 2 binary64))
cost-diff	0	(log.f64 x)
cost-diff	0	(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))

Rules

19 528×	`lower-fma.f32`
19 526×	`lower-fma.f64`
3 074×	`lower-+.f32`
3 068×	`lower-+.f64`
2 888×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	133
0	39	127
1	55	127
2	66	127
3	90	127
4	131	127
5	255	127
6	522	127
7	1080	127
8	2708	127
9	4401	127
10	5456	127
11	5897	127
12	6005	127
13	6084	127
14	6160	127
15	6882	127
16	7538	127
17	7970	127
0	8004	127

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(log.f64 x)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x))))
x
#s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(log.f64 x)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(+.f64 x x)
#s(literal 2 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
(log.f64 (+.f64 #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x))) x))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x))) x)
x
#s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)

localize56.0ms (0.7%)

Memory

4.9MiB live, 79.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.00390625	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
accuracy	0.24213559801300433	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
accuracy	27.441394207104842	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(-.f64 x (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.00390625	(+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x))))
accuracy	0.2398461953837393	#s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))
accuracy	0.24213559801300433	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.24213559801300433	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
accuracy	0.4059544925748244	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
accuracy	0	(log.f64 x)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.16015625	(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
accuracy	0.3704461814367308	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))

Samples

42.0ms

256×

valid

Compiler

Compiled 107 to 22 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-log: 11.0ms (38.8% of total)

ival-add: 5.0ms (17.6% of total)

ival-sqrt: 4.0ms (14.1% of total)

ival-mult: 3.0ms (10.6% of total)

ival-div: 2.0ms (7.1% of total)

ival-sub: 2.0ms (7.1% of total)

exact: 1.0ms (3.5% of total)

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

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

series85.0ms (1%)

Memory

9.5MiB live, 95.8MiB allocated

Counts

15 → 168

Calls

Call 1

Inputs
#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (patch (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (.f64 #s(literal 2 binary64) x))) (patch (log.f64 #s(approx (+ x (sqrt (- ( x x) 1))) (*.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (sqrt (- (* x x) 1))) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (+ x (sqrt (- ( x x) 1))) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x))))) (patch (log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x))))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))) (patch (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x))) (patch #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) #<representation binary64>) () ())
#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) #<representation binary64>) () ())) ())
#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.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) #<representation binary64>) () ())) ())
#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.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) (patch (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) (taylor -inf x) (#s(alt (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #<representation binary64>) () ())) ())
#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 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (patch (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#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.f64 (fma.f64 x x #s(literal -1 binary64))) (patch (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

48.0ms

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

20.0ms

-inf

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

13.0ms

inf

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

simplify221.0ms (2.6%)

Memory

-0.3MiB live, 161.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 998×	`lower-fma.f64`
9 998×	`lower-fma.f32`
3 996×	`lower-*.f64`
3 996×	`lower-*.f32`
3 040×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	1823
1	439	1739
2	1205	1686
3	3476	1614
0	8370	1549

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 164

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

Outputs
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (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.f64 (.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) (.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) x)) x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
(+ (log 2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (log x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (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.f64 (.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) (.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) x)) x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ x (sqrt -1))
(+.f64 x (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64)))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
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(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal -1/2 binary64)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1/2 binary64)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1/2 binary64)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x)) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 x x) x) x)) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) x))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 1/2 binary64) x))
(+ (log -1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal -1/2 binary64)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1/2 binary64)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1/2 binary64)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x)) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 x x) x) x)) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))

rewrite163.0ms (1.9%)

Memory

-9.0MiB live, 147.8MiB allocated

Rules

10 342×	`lower-fma.f32`
10 340×	`lower-fma.f64`
4 248×	`lower-*.f32`
4 246×	`lower-*.f64`
3 514×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	122
0	39	114
1	148	114
2	967	114
0	8742	114

Stop Event

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

Counts

15 → 388

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(log.f64 x)
(log.f64 #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 x (/.f64 #s(literal 1/2 binary64) x))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (*.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) x))) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64))))))
(.f64 #s(literal 1 binary64) (log.f64 (.f64 #s(literal 2 binary64) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64))))) (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) x)))) (neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) x))) (log.f64 (.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) x))) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (log.f64 (.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))))
(neg.f64 (/.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 2 binary64) x))) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(neg.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) x))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) x))))
(-.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 1/2 binary64))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) x))
(log.f64 x)
(log.f64 #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 (neg.f64 x) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))
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(.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x #s(literal 1 binary64))) x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x #s(literal 1 binary64))) x (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) x) x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x (neg.f64 (*.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x x #s(literal -1 binary64))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fabs.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1 binary64))

eval75.0ms (0.9%)

Memory: 25.5MiB live, 96.9MiB allocated
Compiler: Compiled 12 272 to 1 625 computations (86.8% saved)

prune75.0ms (0.9%)

Memory

-7.1MiB live, 142.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	550	2	552
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	550	6	556

Accuracy

100.0%

Counts

556 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.4%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓	99.3%	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
▶	31.4%	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))))
✓	99.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
✓	99.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
▶	98.5%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))

Compiler

Compiled 67 to 43 computations (35.8% saved)

simplify366.0ms (4.3%)

Memory

-0.5MiB live, 259.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))
cost-diff	0	#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))
cost-diff	0	(+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))))
cost-diff	0	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))))
cost-diff	0	(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))
cost-diff	128	(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))))
cost-diff	320	(.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))

Rules

20 770×	`lower-fma.f64`
20 770×	`lower-fma.f32`
3 408×	`lower-*.f32`
3 402×	`lower-*.f64`
2 864×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	195
0	46	195
1	71	191
2	94	191
3	155	191
4	243	191
5	391	191
6	662	191
7	1212	191
8	2840	191
9	4638	191
10	5700	191
11	6149	191
12	6257	191
13	6332	191
14	6392	191
15	6766	191
16	7772	191
0	8005	183

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))
(.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(log.f64 x)
x
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))))
#s(literal 1 binary64)
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))
(log.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))))
x
#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(log.f64 x)
x
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))
(.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x))
(log.f64 (*.f64 x #s(literal 1/2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))) x))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))) x)
x
#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)

localize126.0ms (1.5%)

Memory

9.4MiB live, 48.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))))
accuracy	0.2398461953837393	#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))
accuracy	0.24213559801300433	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))))
accuracy	62.99781414809295	#s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))
accuracy	0.3984375	(.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))
accuracy	0.773666601663913	(pow.f64 (log.f64 x) #s(literal 3 binary64))
accuracy	1.0	(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy	1.0	(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))

Samples

110.0ms

256×

valid

Compiler

Compiled 138 to 28 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-pow2: 61.0ms (62.8% of total)

ival-log: 11.0ms (11.3% of total)

ival-mult: 6.0ms (6.2% of total)

ival-div: 5.0ms (5.2% of total)

ival-pow: 5.0ms (5.2% of total)

ival-add: 3.0ms (3.1% of total)

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

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

exact: 1.0ms (1% of total)

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

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

series139.0ms (1.6%)

Memory

2.2MiB live, 148.8MiB allocated

Counts

12 → 120

Calls

Call 1

Inputs
#s(alt (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))))) (patch (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))) (patch (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))))))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))))) (patch (log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))) (patch (+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (/ (+ (pow (log 2) 3) (pow (log x) 3)) (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2))) (taylor 0 x) (#s(alt (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))))) (patch (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow (log 2) 3) (pow (log x) 3)) (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2))) (taylor 0 x) (#s(alt (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))))) (patch (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow (log 2) 3) (pow (log x) 3)) (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2))) (taylor 0 x) (#s(alt (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))))) (patch (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow (log 2) 3) (pow (log x) 3)) (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2))) (taylor 0 x) (#s(alt (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))))) (patch (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)) (taylor 0 x) (#s(alt (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))) (patch (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)) (taylor 0 x) (#s(alt (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))) (patch (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)) (taylor 0 x) (#s(alt (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))) (patch (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)) (taylor 0 x) (#s(alt (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))) (patch (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))))))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (sqrt -1)) (/ x (sqrt -1))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))))))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))))))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))))))) (patch #s(approx (log (+ x (sqrt (- ( x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())) ())
#s(alt (+ (pow (log 2) 3) (pow (log x) 3)) (taylor 0 x) (#s(alt (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))) (patch #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (taylor -inf x) (#s(alt (pow.f64 (log.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (taylor -inf x) (#s(alt (pow.f64 (log.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (taylor -inf x) (#s(alt (pow.f64 (log.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (taylor -inf x) (#s(alt (pow.f64 (log.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))) (patch (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

77.0ms

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

31.0ms

-inf

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

25.0ms

inf

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

simplify210.0ms (2.5%)

Memory

-5.5MiB live, 117.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 010×	`lower-fma.f64`
11 010×	`lower-fma.f32`
4 710×	`lower-*.f64`
4 710×	`lower-*.f32`
3 462×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	1631
1	492	1555
2	1397	1521
3	4005	1490
0	8357	1442

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 117

Calls

Call 1

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

Outputs
(/ (+ (pow (log 2) 3) (pow (log x) 3)) (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (pow (log 2) 3) (pow (log x) 3)) (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (pow (log 2) 3) (pow (log x) 3)) (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (pow (log 2) 3) (pow (log x) 3)) (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2))
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2))
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2))
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2))
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (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.f64 (fma.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) (.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) x) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (pow (log 2) 3) (pow (log x) 3))
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(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1/2 binary64)))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1/2 binary64)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x)) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 x x) x) x)) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) x))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 1/2 binary64) x))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))

rewrite251.0ms (3%)

Memory

-14.5MiB live, 180.5MiB allocated

Rules

8 292×	`lower-fma.f64`
8 292×	`lower-fma.f32`
3 880×	`lower-*.f32`
3 874×	`lower-*.f64`
3 788×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	160
0	46	156
1	183	156
2	1293	120
0	8574	115

Stop Event

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

Counts

12 → 386

Calls

Call 1

Inputs
(.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))))
(+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(.f64 (log.f64 x) (log.f64 (.f64 x #s(literal 1/2 binary64))))

Outputs
(.f64 (/.f64 (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64)))) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))) (+.f64 (pow.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) (-.f64 (.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x))))))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) (-.f64 (.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 9 binary64))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 9 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) (-.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))))
(.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x))))))
(.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) (-.f64 (.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))))
(.f64 (/.f64 (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) (-.f64 (.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
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(.f64 (log.f64 x) (log.f64 (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (neg.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (-.f64 (.f64 (neg.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))) (neg.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))) (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1 binary64)) (pow.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1 binary64)) (pow.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1 binary64)) (pow.f64 (log.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1 binary64)) (pow.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(fma.f64 (log.f64 x) (log.f64 x) (neg.f64 (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))) (/.f64 (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))))
(-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))

eval128.0ms (1.5%)

Memory: 14.7MiB live, 132.7MiB allocated
Compiler: Compiled 18 407 to 1 470 computations (92% saved)

prune88.0ms (1%)

Memory

-8.5MiB live, 118.1MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	502	1	503
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	503	6	509

Accuracy

100.0%

Counts

509 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.4%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓	99.3%	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
✓	31.4%	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))))
✓	99.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
✓	99.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
▶	98.6%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))

Compiler

Compiled 66 to 42 computations (36.4% saved)

simplify257.0ms (3%)

Memory

22.6MiB live, 282.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))

Rules

25 890×	`lower-fma.f32`
25 888×	`lower-fma.f64`
3 992×	`lower-*.f32`
3 988×	`lower-*.f64`
2 816×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	117
0	34	117
1	62	113
2	101	113
3	171	113
4	238	113
5	305	113
6	470	113
7	779	113
8	2315	113
9	3440	113
10	4745	113
11	5474	113
12	5809	113
13	5998	113
14	6100	113
15	6416	113
16	6960	113
0	8046	112

Stop Event

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

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(log.f64 x)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(log.f64 x)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))

localize90.0ms (1.1%)

Memory

5.3MiB live, 130.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.4716987793053261	(fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
accuracy	0.773666601663913	(pow.f64 (log.f64 x) #s(literal 3 binary64))
accuracy	1.0	(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy	1.0	(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))

Samples

77.0ms

256×

valid

Compiler

Compiled 98 to 24 computations (75.5% saved)

Precisions

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

ival-log: 11.0ms (31.6% of total)

ival-mult: 7.0ms (20.1% of total)

ival-pow: 5.0ms (14.4% of total)

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

ival-pow2: 3.0ms (8.6% of total)

ival-div: 2.0ms (5.7% of total)

ival-sqrt: 2.0ms (5.7% of total)

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

exact: 1.0ms (2.9% of total)

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

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

series129.0ms (1.5%)

Memory

-28.6MiB live, 177.8MiB allocated

Counts

7 → 60

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (patch (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
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#s(alt (+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2)) (taylor inf x) (#s(alt (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (patch (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2)) (taylor inf x) (#s(alt (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (patch (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2)) (taylor inf x) (#s(alt (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (patch (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2)) (taylor inf x) (#s(alt (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (patch (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 x)) 3)) (taylor inf x) (#s(alt (pow.f64 (log.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 x)) 3)) (taylor inf x) (#s(alt (pow.f64 (log.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 x)) 3)) (taylor inf x) (#s(alt (pow.f64 (log.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 x)) 3)) (taylor inf x) (#s(alt (pow.f64 (log.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow (log 2) 3) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow (log 2) 3) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow (log 2) 3) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow (log 2) 3) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1/2) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2)) (taylor -inf x) (#s(alt (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (patch (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2)) (taylor -inf x) (#s(alt (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (patch (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2)) (taylor -inf x) (#s(alt (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (patch (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2)) (taylor -inf x) (#s(alt (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (patch (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (taylor -inf x) (#s(alt (pow.f64 (log.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (taylor -inf x) (#s(alt (pow.f64 (log.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (taylor -inf x) (#s(alt (pow.f64 (log.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (taylor -inf x) (#s(alt (pow.f64 (log.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

70.0ms

inf

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

27.0ms

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

25.0ms

-inf

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

simplify200.0ms (2.4%)

Memory

19.1MiB live, 140.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 238×	`lower-fma.f64`
11 238×	`lower-fma.f32`
3 244×	`lower-*.f64`
3 244×	`lower-*.f32`
3 134×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	1010
1	257	964
2	697	961
3	1767	959
4	4537	959
0	8224	919

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

Outputs
(/ (+ (pow (log 2) 3) (pow (log x) 3)) (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (pow (log 2) 3) (pow (log x) 3)) (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (pow (log 2) 3) (pow (log x) 3)) (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (pow (log 2) 3) (pow (log x) 3)) (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (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.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 3/40 binary64)) (.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
(/ 1 (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ 1 (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ 1 (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ 1 (+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2))
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2))
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2))
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* (log x) (+ (log 1/2) (log x))) (pow (log 2) 2))
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(/ (+ (* -1 (pow (log (/ 1 x)) 3)) (pow (log 2) 3)) (+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (* -1 (pow (log (/ 1 x)) 3)) (pow (log 2) 3)) (+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (* -1 (pow (log (/ 1 x)) 3)) (pow (log 2) 3)) (+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (* -1 (pow (log (/ 1 x)) 3)) (pow (log 2) 3)) (+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 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))))
(-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (.f64 x x)) #s(literal 3/32 binary64)) (.f64 (.f64 (*.f64 x x) x) x)) (log.f64 x)))
(/ 1 (+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ 1 (+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ 1 (+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ 1 (+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2))
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2))
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2))
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* -1 (* (log (/ 1 x)) (+ (log 1/2) (* -1 (log (/ 1 x)))))) (pow (log 2) 2))
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(/ (+ (pow (log 2) 3) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (pow (log 2) 3) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (pow (log 2) 3) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (pow (log 2) 3) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2)))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(+ (log -1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x)) (log.f64 #s(literal -1/2 binary64))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 (.f64 x x) x) x))) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
(/ 1 (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ 1 (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ 1 (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ 1 (+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2))
(fma.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2))
(fma.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2))
(fma.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (log -1/2) (* -1 (log (/ -1 x))))) (pow (log 2) 2))
(fma.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64))

rewrite267.0ms (3.1%)

Memory

-14.6MiB live, 139.9MiB allocated

Rules

5 806×	`lower-fma.f32`
5 804×	`lower-fma.f64`
4 498×	`lower-*.f32`
4 494×	`lower-*.f64`
3 564×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	92
0	34	92
1	141	88
2	1023	88
0	8275	87

Stop Event

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

Counts

7 → 321

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (log.f64 x) #s(literal 3 binary64))

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))))) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (log.f64 (.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) (-.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x))) (pow.f64 (.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (-.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x))) (pow.f64 (.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (-.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x))) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64))))))
(.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x))) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x))) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x))) (pow.f64 (.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x))) (pow.f64 (.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x))) (pow.f64 (.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
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(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (*.f64 (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x))) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (.f64 (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(neg.f64 (neg.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)))
(fma.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)))) (/.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x) (neg.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(+.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) (log.f64 x)))
(*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 (log.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 #s(literal 2 binary64)))) (*.f64 (log.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(exp.f64 (fma.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64) (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 x)))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(exp.f64 (fma.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3 binary64)))

eval90.0ms (1.1%)

Memory: -3.0MiB live, 81.1MiB allocated
Compiler: Compiled 15 678 to 1 060 computations (93.2% saved)

prune103.0ms (1.2%)

Memory

28.6MiB live, 105.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	381	0	381
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	381	6	387

Accuracy

100.0%

Counts

387 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.4%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓	99.3%	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
✓	31.4%	(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))))
✓	99.0%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
✓	99.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
✓	98.6%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))

Compiler

Compiled 161 to 86 computations (46.6% saved)

regimes11.0ms (0.1%)

Memory

-10.7MiB live, 26.8MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) (log.f64 x) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))

Outputs
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))))

Calls

3 calls:

5.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
3.0ms	x

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.3%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Accuracy

Total -43.4b remaining (-7084.1%)

Threshold costs -43.4b (-7084.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) #s(approx (- x (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x)))))

Outputs
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))

Calls

3 calls:

1.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
1.0ms	x

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.0%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify22.0ms (0.3%)

Memory

-56.1MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`*-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	23	28
2	31	28
3	37	28
4	42	28
5	44	28

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))))
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))

Outputs

(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x)))))

(log.f64 (+.f64 #s(approx (sqrt (- (* x x) 1)) (-.f64 x (/.f64 #s(literal 1/2 binary64) x))) x))

(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))

soundness209.0ms (2.5%)

Memory

16.9MiB live, 167.1MiB allocated

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	1146	562
3	3331	524
4	7979	524
0	8531	495

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 21 to 14 computations (33.3% saved)

preprocess27.0ms (0.3%)

Memory: 14.4MiB live, 85.5MiB allocated
Compiler: Compiled 50 to 32 computations (36% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze71.0ms (0.8%)

sample3.0s (35.8%)

explain105.0ms (1.2%)

preprocess449.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify614.0ms (7.2%)

localize26.0ms (0.3%)

series9.0ms (0.1%)

simplify198.0ms (2.3%)

rewrite163.0ms (1.9%)

eval72.0ms (0.9%)

prune53.0ms (0.6%)

simplify296.0ms (3.5%)

localize56.0ms (0.7%)

series85.0ms (1%)

simplify221.0ms (2.6%)

rewrite163.0ms (1.9%)

eval75.0ms (0.9%)

prune75.0ms (0.9%)

simplify366.0ms (4.3%)

localize126.0ms (1.5%)

series139.0ms (1.6%)

simplify210.0ms (2.5%)

rewrite251.0ms (3%)

eval128.0ms (1.5%)

prune88.0ms (1%)

simplify257.0ms (3%)

localize90.0ms (1.1%)

series129.0ms (1.5%)

simplify200.0ms (2.4%)

rewrite267.0ms (3.1%)

eval90.0ms (1.1%)

prune103.0ms (1.2%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

simplify22.0ms (0.3%)

soundness209.0ms (2.5%)

preprocess27.0ms (0.3%)

end0.0ms (0%)

Profiling