Metrics for Hyperbolic arc-cosine

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze79.0ms (1%)

Memory

-1.1MiB live, 86.0MiB 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)

sample2.8s (35%)

Memory

17.5MiB live, 2 664.3MiB allocated

Samples

1.4s	7 275×	1	invalid
659.0ms	8 256×	0	valid
79.0ms	1 151×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-sqrt: 381.0ms (26% of total)

ival-mult: 269.0ms (18.4% of total)

ival-log: 255.0ms (17.4% of total)

adjust: 221.0ms (15.1% of total)

ival-sub: 162.0ms (11.1% of total)

ival-add: 144.0ms (9.8% of total)

ival-true: 13.0ms (0.9% of total)

exact: 11.0ms (0.8% of total)

ival-assert: 7.0ms (0.5% of total)

Bogosity

explain113.0ms (1.4%)

Memory

-41.9MiB live, 190.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
132	-	-	`(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	132	0
↳	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	132
↳	`(*.f64 x x)`	overflow	132
`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	132
↳	`(*.f64 x x)`	overflow	132

Confusion

	Predicted +	Predicted -
+	132	0
-	0	124

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	124
1	131
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 16.0ms (49.8% of total)

ival-log: 6.0ms (18.7% of total)

ival-sqrt: 4.0ms (12.4% of total)

ival-sub: 3.0ms (9.3% of total)

ival-add: 3.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess425.0ms (5.2%)

Memory

4.7MiB live, 355.3MiB allocated

Algorithm

1×	egg-herbie

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 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify317.0ms (3.9%)

Memory

-0.6MiB live, 325.6MiB 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))

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)

localize48.0ms (0.6%)

Memory

6.8MiB live, 45.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy	0.0078125	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.24994809838462312	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
accuracy	30.718959027143995	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

42.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 3.0ms (30.1% of total)

ival-mult: 2.0ms (20% of total)

ival-sqrt: 2.0ms (20% of total)

ival-sub: 1.0ms (10% of total)

ival-add: 1.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

4 → 48

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>) () ())

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 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 (.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>) () ())) ())

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)))
1.0ms	x	@	-inf	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))
1.0ms	x	@	inf	((- (* x x) 1) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify160.0ms (2%)

Memory

12.6MiB live, 214.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	559
1	411	533
2	1146	526
3	3331	488
4	7979	488
0	8531	459

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

rewrite174.0ms (2.1%)

Memory

-19.8MiB live, 248.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 320

Calls

Call 1

Inputs
(-.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)))

Outputs
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eval94.0ms (1.2%)

Memory: 20.5MiB live, 146.9MiB allocated
Compiler: Compiled 8 015 to 1 572 computations (80.4% saved)

prune12.0ms (0.1%)

Memory

-4.7MiB live, 31.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

368 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.3%	(+.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))))
	27.2%	(log.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x))
▶	50.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
▶	98.6%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))))
▶	98.1%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶	98.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 158 to 92 computations (41.8% saved)

simplify172.0ms (2.1%)

Memory

-10.7MiB live, 226.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
cost-diff	0	(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
cost-diff	0	(+.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))))
cost-diff	64	(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
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))))
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 #s(literal 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	0	(/.f64 #s(literal -1/2 binary64) x)
cost-diff	0	(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))
cost-diff	0	#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x)))
cost-diff	0	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	257
0	50	252
1	71	252
2	93	252
3	162	252
4	358	252
5	919	252
6	2571	252
7	5576	252
8	7045	252
9	7867	252
0	8060	246

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (1.9%)

Memory

-3.5MiB live, 232.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	30.718959027143995	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	30.86444425536595	(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
accuracy	31.967679114728107	(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
accuracy	59.17115257201875	(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
accuracy	0	(log.f64 x)
accuracy	0	(log.f64 #s(literal 2 binary64))
accuracy	0.203125	(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
accuracy	0.9530260226375274	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0078125	(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
accuracy	0.24994809838462312	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
accuracy	30.718959027143995	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.24994809838462312	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
accuracy	1.0041546257416323	#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x))
accuracy	0	(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))
accuracy	0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	0.24994809838462312	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))))
accuracy	0.6785469375356996	#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x)))

Samples

70.0ms	112×	2	valid
56.0ms	135×	1	valid
2.0ms	9×	0	valid

Compiler

Compiled 261 to 29 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-log: 33.0ms (33.4% of total)

adjust: 22.0ms (22.2% of total)

ival-add: 18.0ms (18.2% of total)

ival-sqrt: 7.0ms (7.1% of total)

ival-mult: 7.0ms (7.1% of total)

ival-div: 6.0ms (6.1% of total)

ival-sub: 5.0ms (5.1% of total)

exact: 1.0ms (1% of total)

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

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

series103.0ms (1.3%)

Memory

-0.1MiB live, 128.0MiB allocated

Counts

20 → 228

Calls

Call 1

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

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

3 calls:

Time	Variable		Point	Expression
49.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1)) (+ (log (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))) (log (/ (+ (sqrt (+ (* x x) -1)) x) (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))))) (log (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))) (- x (sqrt (+ (* x x) -1))) (/ (+ (sqrt (+ (* x x) -1)) x) (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))))
30.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1)) (+ (log (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))) (log (/ (+ (sqrt (+ (* x x) -1)) x) (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))))) (log (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))) (- x (sqrt (+ (* x x) -1))) (/ (+ (sqrt (+ (* x x) -1)) x) (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))))
17.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ (* 2 x) (/ -1/2 x)) (/ -1/2 x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* 2 x) (log (+ (sqrt (+ (* x x) -1)) x)) (+ (sqrt (+ (* x x) -1)) x) (sqrt (+ (* x x) -1)) (+ (* x x) -1) (log (+ x (sqrt (- (* x x) 1)))) (+ (log x) (log 2)) (log x) (log 2) (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1)) (+ (log (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))) (log (/ (+ (sqrt (+ (* x x) -1)) x) (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))))) (log (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))) (- x (sqrt (+ (* x x) -1))) (/ (+ (sqrt (+ (* x x) -1)) x) (+ (* x (- x (sqrt (+ (* x x) -1)))) (+ (* x x) -1))))

Time

Variable

Point

Expression

49.0ms

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

30.0ms

-inf

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

17.0ms

inf

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

simplify157.0ms (1.9%)

Memory

-0.1MiB live, 115.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	414	2929
1	1230	2624
2	4189	2578
0	8147	2478

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 227

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)))))
(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))))))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(* 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))))))))
(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 (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)
-1
(- (* -1 (* x (sqrt -1))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1)
(+ (log -1) (log (* -1 (sqrt -1))))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (+ (* x (+ (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))) (* 2 (/ (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))) (sqrt -1))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (/ 1 (sqrt -1))))))))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (+ (* x (+ (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))) (* 2 (/ (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))) (sqrt -1))))) (+ (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)) (* x (+ (* 1/6 (+ (* -6 (/ (* (+ 1 (* -1 (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1))))) (pow (sqrt -1) 2))) (+ (* -6 (/ (- 1/2 (+ (* -1 (* (sqrt -1) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (* 2 (+ 1 (* -1 (pow (sqrt -1) 2)))))) (sqrt -1))) (* 2 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 3) (pow (sqrt -1) 3)))))) (* 1/6 (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))))))) (/ 1 (sqrt -1))))))))
(log -1)
(+ (log -1) (* x (sqrt -1)))
(+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))
(+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))
(* -1 (sqrt -1))
(- x (sqrt -1))
(- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))
(- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (* -1 (* x (+ 1 (* -1 (pow (sqrt -1) 2))))))
(+ (* -1 (sqrt -1)) (* x (- (* -1 (* x (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (+ 1 (* -1 (pow (sqrt -1) 2))))))
(+ (* -1 (sqrt -1)) (* x (- (* x (- (* x (- 1/2 (+ (* -1 (* (sqrt -1) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (* 2 (+ 1 (* -1 (pow (sqrt -1) 2))))))) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (+ 1 (* -1 (pow (sqrt -1) 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)))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 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)))))
(* 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)))))
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 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)))
(pow x 2)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x)))))
(- (+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))) (* 1/4 (/ 1 (pow x 2))))
(* -2 (log (/ 1 x)))
(- (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (/ 1/12 (pow x 6))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/12 (pow x 6)) (* 5/64 (/ 1 (pow x 8))))) (* 1/2 (/ 1 (pow x 2))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(/ 2 x)
(/ (+ 2 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))) x)
(/ (+ 2 (+ (* -1 (/ (+ 1/8 (* 5/16 (/ 1 (pow x 2)))) (pow x 4))) (* 1/2 (/ 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))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (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))
(* 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))
(* -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))))
(+ (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))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x))))))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
(+ (log 3) (* -2 (log (/ -1 x))))
(- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ 1/6 (pow x 3))
(/ (+ 1/6 (* 1/8 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 13/144 (/ 1 (pow x 2)))) (pow x 2))) 1/6) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 13/144 (* 77/1152 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/6 (* 1/8 (/ 1 (pow x 2))))) (pow x 3)))

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 (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1/2 binary64)) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1/2 binary64)) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1/2 binary64)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 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 (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64)))
(* 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 (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.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)
(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 (fma.f64 #s(literal 1/8 binary64) (.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 x x) (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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x (sqrt.f64 #s(literal -1 binary64))))
-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 (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.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)
-1
#s(literal -1 binary64)
(- (* -1 (* x (sqrt -1))) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1)
(fma.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) x #s(literal -1 binary64))
(- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) x (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) x #s(literal -1 binary64))
(+ (log -1) (log (* -1 (sqrt -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))))
(fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (+ (* x (+ (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))) (* 2 (/ (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))) (sqrt -1))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (/ 1 (sqrt -1))))))))
(fma.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x (+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (+ (* x (+ (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))) (* 2 (/ (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))) (sqrt -1))))) (+ (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)) (* x (+ (* 1/6 (+ (* -6 (/ (* (+ 1 (* -1 (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1))))) (pow (sqrt -1) 2))) (+ (* -6 (/ (- 1/2 (+ (* -1 (* (sqrt -1) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (* 2 (+ 1 (* -1 (pow (sqrt -1) 2)))))) (sqrt -1))) (* 2 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 3) (pow (sqrt -1) 3)))))) (* 1/6 (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))))))) (/ 1 (sqrt -1))))))))
(fma.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal -6 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -2 binary64) (/.f64 (-.f64 #s(literal -7/2 binary64) (-.f64 #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -16 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 12 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x (+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* x (sqrt -1)))
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) x (sqrt.f64 #s(literal -1 binary64))) x (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 12 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1 binary64))))) x) #s(literal 1/6 binary64) #s(literal -3/2 binary64)) x (sqrt.f64 #s(literal -1 binary64))) x (log.f64 #s(literal -1 binary64)))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(- x (sqrt -1))
(-.f64 x (sqrt.f64 #s(literal -1 binary64)))
(- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (* x (+ 1 (* -1 (pow (sqrt -1) 2))))))
(neg.f64 (fma.f64 #s(literal 2 binary64) x (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (sqrt -1)) (* x (- (* -1 (* x (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (+ 1 (* -1 (pow (sqrt -1) 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) x #s(literal -2 binary64)) x (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (sqrt -1)) (* x (- (* x (- (* x (- 1/2 (+ (* -1 (* (sqrt -1) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (* 2 (+ 1 (* -1 (pow (sqrt -1) 2))))))) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (+ 1 (* -1 (pow (sqrt -1) 2))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -7/2 binary64) (-.f64 #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))) x (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))) x #s(literal -2 binary64)) x (neg.f64 (sqrt.f64 #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 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) 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 (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (.f64 x x)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) x) x)) x)
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
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(+.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1/2 binary64))) (+.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) (pow.f64 x #s(literal 4 binary64))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
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(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
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(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) x) x)
(* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) x)) (*.f64 x x))
(* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 3/2 binary64) (.f64 x x))) (.f64 x x))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x))))))
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(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
(+.f64 (+.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 3 binary64))) (log.f64 #s(literal -1/6 binary64)))
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(+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
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(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (-.f64 (log.f64 #s(literal 3 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* 2 x)
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(.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (neg.f64 x))
(/ 1/6 (pow x 3))
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1/6 (* 1/8 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 13/144 (/ 1 (pow x 2)))) (pow x 2))) 1/6) (pow x 3)))
(/.f64 (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 13/144 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) x) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 13/144 (* 77/1152 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/6 (* 1/8 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 77/1152 binary64) (.f64 x x)) #s(literal 13/144 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))

rewrite289.0ms (3.6%)

Memory

15.1MiB live, 174.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	208
0	50	172
1	199	172
2	1567	172
0	8546	169

Stop Event

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

Counts

20 → 791

Calls

Call 1

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

Outputs
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eval438.0ms (5.4%)

Memory: 20.3MiB live, 358.7MiB allocated
Compiler: Compiled 104 263 to 6 768 computations (93.5% saved)

prune59.0ms (0.7%)

Memory

11.5MiB live, 97.5MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	2 030	3	2 033
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	2 032	7	2 039

Accuracy

100.0%

Counts

2 039 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.3%	(-.f64 (log.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64))) (log.f64 (/.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
▶	48.3%	(+.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)))))
✓	50.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓	98.6%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))))
✓	98.1%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶	97.6%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
✓	98.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 115 to 62 computations (46.1% saved)

simplify124.0ms (1.5%)

Memory

-10.9MiB live, 182.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
cost-diff	0	(fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64))
cost-diff	0	(log.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)))
cost-diff	0	(-.f64 (log.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64))) (log.f64 (/.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
cost-diff	0	(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
cost-diff	0	(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
cost-diff	0	(+.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)))))
cost-diff	64	(fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
cost-diff	384	(/.f64 x #s(literal 2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	372
0	60	368
1	93	368
2	142	364
3	292	364
4	694	364
5	1819	364
6	4968	364
0	8172	364

Stop Event

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

Calls

Call 1

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

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

localize234.0ms (2.9%)

Memory

-18.8MiB live, 395.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	30.718959027143995	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	30.772774361223384	(/.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
accuracy	31.967679114728107	(log.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)))
accuracy	59.17115257201875	(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
accuracy	30.718959027143995	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	30.86444425536595	(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)))
accuracy	31.967679114728107	(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
accuracy	59.17115257201875	(-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
accuracy	0.38414003907376804	(/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
accuracy	0.5576362793053261	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	0.9530260226375274	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
accuracy	1.0	(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))

Samples

102.0ms	139×	1	valid
93.0ms	107×	2	valid
3.0ms	10×	0	valid

Compiler

Compiled 402 to 37 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-log: 50.0ms (30.4% of total)

adjust: 28.0ms (17% of total)

ival-add: 19.0ms (11.6% of total)

ival-true: 15.0ms (9.1% of total)

ival-div: 14.0ms (8.5% of total)

ival-mult: 11.0ms (6.7% of total)

ival-pow2: 11.0ms (6.7% of total)

ival-sub: 9.0ms (5.5% of total)

ival-sqrt: 7.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

series112.0ms (1.4%)

Memory

-10.7MiB live, 227.6MiB allocated

Counts

16 → 180

Calls

Call 1

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

Outputs
#s(alt (/ (- (pow (log x) 2) (pow (log 2) 2)) (+ (log 1/2) (log x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (log x) 2) (pow (log 2) 2)) (+ (log 1/2) (log x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (log x) 2) (pow (log 2) 2)) (+ (log 1/2) (log x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow (log x) 2) (pow (log 2) 2)) (+ (log 1/2) (log x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (log (sqrt -1)) (taylor 0 x) (#s(alt #s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #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 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #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 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 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 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (patch #s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log 1/2) (log x)) (- (pow (log x) 2) (pow (log 2) 2))) (taylor 0 x) (#s(alt (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log 1/2) (log x)) (- (pow (log x) 2) (pow (log 2) 2))) (taylor 0 x) (#s(alt (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log 1/2) (log x)) (- (pow (log x) 2) (pow (log 2) 2))) (taylor 0 x) (#s(alt (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log 1/2) (log x)) (- (pow (log x) 2) (pow (log 2) 2))) (taylor 0 x) (#s(alt (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (patch (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* x (sqrt -1))) 1) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (patch (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (patch (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1) (taylor 0 x) (#s(alt (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (patch (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.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 (* 6 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) (patch (/.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 9/2 (/ 1 (pow x 2))) 6))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) (patch (/.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 9/2 (/ 1 (pow x 2))) (+ 6 (/ 1/8 (pow x 4)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) (patch (/.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (+ (* 9/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))) (+ 6 (/ 1/8 (pow x 4)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) (patch (/.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

46.0ms

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

31.0ms

-inf

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

25.0ms

inf

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

simplify139.0ms (1.7%)

Memory

29.9MiB live, 183.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	511	3128
1	1519	2631
2	5555	2554
0	8146	2460

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 179

Calls

Call 1

Inputs
(/ (- (pow (log x) 2) (pow (log 2) 2)) (+ (log 1/2) (log x)))
(/ (- (pow (log x) 2) (pow (log 2) 2)) (+ (log 1/2) (log x)))
(/ (- (pow (log x) 2) (pow (log 2) 2)) (+ (log 1/2) (log x)))
(/ (- (pow (log x) 2) (pow (log 2) 2)) (+ (log 1/2) (log x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(/ (+ (log 1/2) (log x)) (- (pow (log x) 2) (pow (log 2) 2)))
(/ (+ (log 1/2) (log x)) (- (pow (log x) 2) (pow (log 2) 2)))
(/ (+ (log 1/2) (log x)) (- (pow (log x) 2) (pow (log 2) 2)))
(/ (+ (log 1/2) (log x)) (- (pow (log x) 2) (pow (log 2) 2)))
-1
(- (* -1 (* x (sqrt -1))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1)
(+ (log -1) (log (* -1 (sqrt -1))))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (+ (* x (+ (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))) (* 2 (/ (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))) (sqrt -1))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (/ 1 (sqrt -1))))))))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (+ (* x (+ (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))) (* 2 (/ (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))) (sqrt -1))))) (+ (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)) (* x (+ (* 1/6 (+ (* -6 (/ (* (+ 1 (* -1 (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1))))) (pow (sqrt -1) 2))) (+ (* -6 (/ (- 1/2 (+ (* -1 (* (sqrt -1) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (* 2 (+ 1 (* -1 (pow (sqrt -1) 2)))))) (sqrt -1))) (* 2 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 3) (pow (sqrt -1) 3)))))) (* 1/6 (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))))))) (/ 1 (sqrt -1))))))))
(log -1)
(+ (log -1) (* x (sqrt -1)))
(+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))
(+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))
(* -1 (sqrt -1))
(- x (sqrt -1))
(- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))
(- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))
(- (log -1) (log (/ -1 (sqrt -1))))
(- (+ (log -1) (* x (- (sqrt -1) (* -1 (* (sqrt -1) (- (/ 1 (pow (sqrt -1) 2)) 1)))))) (log (/ -1 (sqrt -1))))
(- (+ (log -1) (* x (- (+ (sqrt -1) (* x (- (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)) (* 1/2 (+ (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (* (pow (sqrt -1) 2) (pow (- (/ 1 (pow (sqrt -1) 2)) 1) 2)))))))) (* -1 (* (sqrt -1) (- (/ 1 (pow (sqrt -1) 2)) 1)))))) (log (/ -1 (sqrt -1))))
(- (+ (log -1) (* x (- (+ (sqrt -1) (* x (- (+ (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)) (* x (- (* 1/6 (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1))))) (* 1/6 (+ (* -6 (* (sqrt -1) (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (+ (* 1/2 (/ (- (/ 1 (pow (sqrt -1) 2)) 1) (pow (sqrt -1) 2))) (* 7/2 (/ 1 (pow (sqrt -1) 2))))))) (+ (* -6 (* (pow (sqrt -1) 2) (* (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (/ 1 (pow (sqrt -1) 2)) 1)))) (* -2 (* (pow (sqrt -1) 3) (pow (- (/ 1 (pow (sqrt -1) 2)) 1) 3))))))))) (* 1/2 (+ (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (* (pow (sqrt -1) 2) (pow (- (/ 1 (pow (sqrt -1) 2)) 1) 2)))))))) (* -1 (* (sqrt -1) (- (/ 1 (pow (sqrt -1) 2)) 1)))))) (log (/ -1 (sqrt -1))))
(log -1)
(+ (log -1) (* x (sqrt -1)))
(+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))
(+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))
-1
(- (* -1 (* x (sqrt -1))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1)
(- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (* -1 (* x (+ 1 (* -1 (pow (sqrt -1) 2))))))
(+ (* -1 (sqrt -1)) (* x (- (* -1 (* x (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (+ 1 (* -1 (pow (sqrt -1) 2))))))
(+ (* -1 (sqrt -1)) (* x (- (* x (- (* x (- 1/2 (+ (* -1 (* (sqrt -1) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (* 2 (+ 1 (* -1 (pow (sqrt -1) 2))))))) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (+ 1 (* -1 (pow (sqrt -1) 2))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(/ -1 (sqrt -1))
(- (* x (- (/ 1 (pow (sqrt -1) 2)) 1)) (/ 1 (sqrt -1)))
(- (* x (- (+ (* x (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2))) 1)) (/ 1 (sqrt -1)))
(- (* x (- (+ (* x (- (+ (* 3 (/ 1 (sqrt -1))) (* x (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (+ (* 1/2 (/ (- (/ 1 (pow (sqrt -1) 2)) 1) (pow (sqrt -1) 2))) (* 7/2 (/ 1 (pow (sqrt -1) 2))))))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2))) 1)) (/ 1 (sqrt -1)))
(/ (- (pow (log (/ 1 x)) 2) (pow (log 2) 2)) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ (- (pow (log (/ 1 x)) 2) (pow (log 2) 2)) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ (- (pow (log (/ 1 x)) 2) (pow (log 2) 2)) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ (- (pow (log (/ 1 x)) 2) (pow (log 2) 2)) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 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))))
(/ (+ (log 1/2) (* -1 (log (/ 1 x)))) (- (pow (log (/ 1 x)) 2) (pow (log 2) 2)))
(/ (+ (log 1/2) (* -1 (log (/ 1 x)))) (- (pow (log (/ 1 x)) 2) (pow (log 2) 2)))
(/ (+ (log 1/2) (* -1 (log (/ 1 x)))) (- (pow (log (/ 1 x)) 2) (pow (log 2) 2)))
(/ (+ (log 1/2) (* -1 (log (/ 1 x)))) (- (pow (log (/ 1 x)) 2) (pow (log 2) 2)))
(pow x 2)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x)))))
(- (+ (log 2) (+ (log (/ 1 x)) (* -2 (log (/ 1 x))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))
(- (+ (log 2) (+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))) (* 1/4 (/ 1 (pow x 2))))
(* -2 (log (/ 1 x)))
(- (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (/ 1/12 (pow x 6))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/12 (pow x 6)) (* 5/64 (/ 1 (pow x 8))))) (* 1/2 (/ 1 (pow x 2))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(- (* -2 (log (/ 1 x))) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(- (* -2 (log (/ 1 x))) (+ (log 1/2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(- (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))) (+ (log 1/2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(* -2 (log (/ 1 x)))
(- (* -2 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (/ 1/12 (pow x 6))) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1/12 (pow x 6)) (* 5/64 (/ 1 (pow x 8))))) (* 1/2 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (/ 1/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (+ (/ 1/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 1/2 (/ 1 (pow x 2)))))
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(/ 2 x)
(/ (+ 2 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))) x)
(/ (+ 2 (+ (* -1 (/ (+ 1/8 (* 5/16 (/ 1 (pow x 2)))) (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (- 1/2 (* 1/8 (/ 1 (pow x 2)))))
(* x (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* x (- (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 7/128 (/ 1 (pow x 6))))) (* 1/8 (/ 1 (pow x 2)))))
(/ (- (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow (log 2) 2)) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/ (- (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow (log 2) 2)) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/ (- (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow (log 2) 2)) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/ (- (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow (log 2) 2)) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 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)))))))
(/ (+ (log -1/2) (* -1 (log (/ -1 x)))) (- (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow (log 2) 2)))
(/ (+ (log -1/2) (* -1 (log (/ -1 x)))) (- (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow (log 2) 2)))
(/ (+ (log -1/2) (* -1 (log (/ -1 x)))) (- (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow (log 2) 2)))
(/ (+ (log -1/2) (* -1 (log (/ -1 x)))) (- (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow (log 2) 2)))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 3 (log (/ -1 x))))))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
(+ (log 3) (* -2 (log (/ -1 x))))
(- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(- (+ (log 3) (* -2 (log (/ -1 x)))) (+ (log -6) (* -3 (log (/ -1 x)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log -6) (* -3 (log (/ -1 x)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log -6) (* -3 (log (/ -1 x)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log -6) (* -3 (log (/ -1 x)))))
(+ (log 3) (* -2 (log (/ -1 x))))
(- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(/ 1/6 (pow x 3))
(/ (+ 1/6 (* 1/8 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 13/144 (/ 1 (pow x 2)))) (pow x 2))) 1/6) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 13/144 (* 77/1152 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/6 (* 1/8 (/ 1 (pow x 2))))) (pow x 3)))
(* -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))))))
(* 6 (pow x 3))
(* -1 (* (pow x 3) (- (* 9/2 (/ 1 (pow x 2))) 6)))
(* -1 (* (pow x 3) (- (* 9/2 (/ 1 (pow x 2))) (+ 6 (/ 1/8 (pow x 4))))))
(* -1 (* (pow x 3) (- (+ (* 9/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))) (+ 6 (/ 1/8 (pow x 4))))))

Outputs
(/ (- (pow (log x) 2) (pow (log 2) 2)) (+ (log 1/2) (log x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(/ (- (pow (log x) 2) (pow (log 2) 2)) (+ (log 1/2) (log x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(/ (- (pow (log x) 2) (pow (log 2) 2)) (+ (log 1/2) (log x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(/ (- (pow (log x) 2) (pow (log 2) 2)) (+ (log 1/2) (log x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 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 (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
(/ (+ (log 1/2) (log x)) (- (pow (log x) 2) (pow (log 2) 2)))
(/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (log 1/2) (log x)) (- (pow (log x) 2) (pow (log 2) 2)))
(/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (log 1/2) (log x)) (- (pow (log x) 2) (pow (log 2) 2)))
(/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/ (+ (log 1/2) (log x)) (- (pow (log x) 2) (pow (log 2) 2)))
(/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
-1
#s(literal -1 binary64)
(- (* -1 (* x (sqrt -1))) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1)
(fma.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) x #s(literal -1 binary64))
(- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) #s(literal 2 binary64)) x (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) x #s(literal -1 binary64))
(+ (log -1) (log (* -1 (sqrt -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (/ 1 (sqrt -1)))))))
(fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (+ (* x (+ (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))) (* 2 (/ (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))) (sqrt -1))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))) (/ 1 (sqrt -1))))))))
(fma.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x (+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))
(+ (log -1) (+ (log (* -1 (sqrt -1))) (* x (+ (sqrt -1) (+ (* -1 (sqrt -1)) (+ (* x (+ (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))) (* 2 (/ (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))) (sqrt -1))))) (+ (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)) (* x (+ (* 1/6 (+ (* -6 (/ (* (+ 1 (* -1 (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1))))) (pow (sqrt -1) 2))) (+ (* -6 (/ (- 1/2 (+ (* -1 (* (sqrt -1) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (* 2 (+ 1 (* -1 (pow (sqrt -1) 2)))))) (sqrt -1))) (* 2 (/ (pow (+ 1 (* -1 (pow (sqrt -1) 2))) 3) (pow (sqrt -1) 3)))))) (* 1/6 (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))))))) (/ 1 (sqrt -1))))))))
(fma.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal -6 binary64) (fma.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -2 binary64) (/.f64 (-.f64 #s(literal -7/2 binary64) (-.f64 #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -16 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 12 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) x (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) x (+.f64 (log.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* x (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) x (sqrt.f64 #s(literal -1 binary64))) x (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 12 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1 binary64))))) x) #s(literal 1/6 binary64) #s(literal -3/2 binary64)) x (sqrt.f64 #s(literal -1 binary64))) x (log.f64 #s(literal -1 binary64)))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(- x (sqrt -1))
(-.f64 x (sqrt.f64 #s(literal -1 binary64)))
(- (* x (+ 1 (* -1/2 (/ x (sqrt -1))))) (sqrt -1))
(fma.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (* x (+ 1 (* x (- (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))) (sqrt -1))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (log -1) (log (/ -1 (sqrt -1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(- (+ (log -1) (* x (- (sqrt -1) (* -1 (* (sqrt -1) (- (/ 1 (pow (sqrt -1) 2)) 1)))))) (log (/ -1 (sqrt -1))))
(fma.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(- (+ (log -1) (* x (- (+ (sqrt -1) (* x (- (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)) (* 1/2 (+ (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (* (pow (sqrt -1) 2) (pow (- (/ 1 (pow (sqrt -1) 2)) 1) 2)))))))) (* -1 (* (sqrt -1) (- (/ 1 (pow (sqrt -1) 2)) 1)))))) (log (/ -1 (sqrt -1))))
(fma.f64 (fma.f64 (-.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 2 binary64))) x (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(- (+ (log -1) (* x (- (+ (sqrt -1) (* x (- (+ (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)) (* x (- (* 1/6 (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1))))) (* 1/6 (+ (* -6 (* (sqrt -1) (- (* 1/2 (/ 1 (pow (sqrt -1) 4))) (+ (* 1/2 (/ (- (/ 1 (pow (sqrt -1) 2)) 1) (pow (sqrt -1) 2))) (* 7/2 (/ 1 (pow (sqrt -1) 2))))))) (+ (* -6 (* (pow (sqrt -1) 2) (* (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) (- (/ 1 (pow (sqrt -1) 2)) 1)))) (* -2 (* (pow (sqrt -1) 3) (pow (- (/ 1 (pow (sqrt -1) 2)) 1) 3))))))))) (* 1/2 (+ (* -2 (* (sqrt -1) (- (* 3 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* -1 (* (pow (sqrt -1) 2) (pow (- (/ 1 (pow (sqrt -1) 2)) 1) 2)))))))) (* -1 (* (sqrt -1) (- (/ 1 (pow (sqrt -1) 2)) 1)))))) (log (/ -1 (sqrt -1))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 12 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (.f64 #s(literal -6 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -5/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -12 binary64) (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 16 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))) (-.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 2 binary64)))) x (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) x (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* x (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* x (+ (sqrt -1) (* 1/2 (* x (- (* -1 (pow (sqrt -1) 2)) 4))))))
(fma.f64 (fma.f64 #s(literal -3/2 binary64) x (sqrt.f64 #s(literal -1 binary64))) x (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* x (+ (sqrt -1) (* x (+ (* 1/6 (* x (+ (* 2 (pow (sqrt -1) 3)) (+ (* 3 (/ 1 (sqrt -1))) (* 12 (sqrt -1)))))) (* 1/2 (- (* -1 (pow (sqrt -1) 2)) 4)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 12 binary64) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1 binary64))))) x) #s(literal 1/6 binary64) #s(literal -3/2 binary64)) x (sqrt.f64 #s(literal -1 binary64))) x (log.f64 #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (* x (sqrt -1))) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(- (* x (+ (* -1 (sqrt -1)) (* 2 x))) 1)
(fma.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) x #s(literal -1 binary64))
(- (* x (+ (* -1 (sqrt -1)) (* x (+ 2 (* -1/2 (/ x (sqrt -1))))))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) #s(literal 2 binary64)) x (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) x #s(literal -1 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(* -1 (sqrt -1))
(neg.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (* x (+ 1 (* -1 (pow (sqrt -1) 2))))))
(neg.f64 (fma.f64 #s(literal 2 binary64) x (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (sqrt -1)) (* x (- (* -1 (* x (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (+ 1 (* -1 (pow (sqrt -1) 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) x #s(literal -2 binary64)) x (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (sqrt -1)) (* x (- (* x (- (* x (- 1/2 (+ (* -1 (* (sqrt -1) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (* 2 (+ 1 (* -1 (pow (sqrt -1) 2))))))) (+ (* -1 (* (sqrt -1) (+ 1 (* -1 (pow (sqrt -1) 2))))) (+ (* 1/2 (/ 1 (sqrt -1))) (* 2 (sqrt -1)))))) (+ 1 (* -1 (pow (sqrt -1) 2))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -7/2 binary64) (-.f64 #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))) x (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))) x #s(literal -2 binary64)) x (neg.f64 (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)))
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(.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) x) x)
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(+ (log -1/6) (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (* 3 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
(+.f64 (+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.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) (pow.f64 x #s(literal 4 binary64))))) (log.f64 #s(literal -1/6 binary64)))
(+ (log 3) (* -2 (log (/ -1 x))))
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(- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
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(+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (-.f64 (log.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (-.f64 (log.f64 #s(literal 3 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 2 binary64)) x)
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(- (+ (log 3) (* -2 (log (/ -1 x)))) (+ (log -6) (* -3 (log (/ -1 x)))))
(-.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -6 binary64)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (log -6) (* -3 (log (/ -1 x)))))
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal -6 binary64)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) (+ (log -6) (* -3 (log (/ -1 x)))))
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (log.f64 #s(literal -6 binary64)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (+ (log -6) (* -3 (log (/ -1 x)))))
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.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) (pow.f64 x #s(literal 4 binary64))))) (log.f64 #s(literal -6 binary64)))
(+ (log 3) (* -2 (log (/ -1 x))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal 3 binary64)))
(- (+ (log 3) (* -2 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (log.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (-.f64 (log.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)))
(- (+ (log 3) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/6 (* 1/12 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (-.f64 (log.f64 #s(literal 3 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (- 3 (* 3/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 x x))) x) x)
(* (pow x 2) (+ 3 (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) x)) (*.f64 x x))
(* (pow x 2) (- (+ 3 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 3/2 (/ 1 (pow x 2)))))
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(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
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(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
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(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
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(/ 1/6 (pow x 3))
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1/6 (* 1/8 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 13/144 (/ 1 (pow x 2)))) (pow x 2))) 1/6) (pow x 3)))
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(* -1 (/ (- (* -1 (/ (+ 13/144 (* 77/1152 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/6 (* 1/8 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 77/1152 binary64) (.f64 x x)) #s(literal 13/144 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 x)
(neg.f64 x)
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(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
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(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(.f64 (neg.f64 x) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64))
(* -1 (* (pow x 3) (- (* 9/2 (/ 1 (pow x 2))) 6)))
(.f64 (neg.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* 9/2 (/ 1 (pow x 2))) (+ 6 (/ 1/8 (pow x 4))))))
(.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 6 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (+ (* 9/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))) (+ 6 (/ 1/8 (pow x 4))))))
(.f64 (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 3 binary64)))

rewrite211.0ms (2.6%)

Memory

1.2MiB live, 282.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	242
0	60	236
1	276	180
2	2111	180
0	9690	180

Stop Event

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

Counts

16 → 1 207

Calls

Call 1

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

Outputs
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eval645.0ms (7.9%)

Memory: -127.3MiB live, 490.8MiB allocated
Compiler: Compiled 134 184 to 7 468 computations (94.4% saved)

prune35.0ms (0.4%)

Memory

-7.6MiB live, 110.3MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	2 251	1	2 252
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	2 252	7	2 259

Accuracy

100.0%

Counts

2 259 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.3%	(-.f64 (log.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64))) (log.f64 (/.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
✓	48.3%	(+.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)))))
✓	50.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓	98.6%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))))
✓	98.1%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
▶	97.6%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
✓	98.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 115 to 63 computations (45.2% saved)

simplify114.0ms (1.4%)

Memory

-15.3MiB live, 99.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
cost-diff	0	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	88
0	28	88
1	44	88
2	67	84
3	138	84
4	338	84
5	761	84
6	1694	84
7	3127	84
8	5719	84
0	8235	83

Stop Event

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

Calls

Call 1

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

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

localize49.0ms (0.6%)

Memory

23.4MiB live, 62.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.38414003907376804	(/.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
accuracy	0.5576362793053261	(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy	0.9530260226375274	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
accuracy	1.0	(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))

Samples

39.0ms

256×

valid

Compiler

Compiled 73 to 20 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-log: 11.0ms (37% of total)

ival-pow2: 5.0ms (16.8% of total)

ival-div: 4.0ms (13.5% of total)

ival-mult: 4.0ms (13.5% of total)

ival-sub: 2.0ms (6.7% of total)

ival-sqrt: 2.0ms (6.7% of total)

ival-add: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series79.0ms (1%)

Memory

-1.4MiB live, 119.1MiB allocated

Counts

6 → 60

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

35.0ms

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

21.0ms

-inf

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

21.0ms

inf

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

simplify127.0ms (1.6%)

Memory

-0.9MiB live, 114.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	770
1	223	732
2	565	729
3	1438	727
4	3770	727
5	7788	726
0	8288	721

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite195.0ms (2.4%)

Memory

-21.8MiB live, 224.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	68
0	28	68
1	108	64
2	688	36
3	7384	36
0	8380	35

Stop Event

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

Counts

6 → 338

Calls

Call 1

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

Outputs
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eval50.0ms (0.6%)

Memory: 16.8MiB live, 107.1MiB allocated
Compiler: Compiled 10 287 to 1 373 computations (86.7% saved)

prune12.0ms (0.1%)

Memory

-4.0MiB live, 33.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	398	0	398
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	398	7	405

Accuracy

100.0%

Counts

405 → 7

Alt Table

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Status	Accuracy	Program
✓	48.3%	(-.f64 (log.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64))) (log.f64 (/.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
✓	48.3%	(+.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)))))
✓	50.0%	(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
✓	98.6%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x))))
✓	98.1%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
✓	97.6%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
✓	98.2%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))

Compiler

Compiled 308 to 125 computations (59.4% saved)

regimes14.0ms (0.2%)

Memory

-13.9MiB live, 24.9MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 #s(literal 2 binary64) 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))))
(-.f64 (log.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64))) (log.f64 (/.f64 (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))))
(+.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))))
(log.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))

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

Calls

3 calls:

6.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
4.0ms	x
3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
98.6%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
98.1%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify24.0ms (0.3%)

Memory

0.8MiB live, 46.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	19	29

Stop Event

1×

saturated

Calls

Call 1

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

soundness238.0ms (2.9%)

Memory

-26.1MiB live, 92.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	559
1	411	533
2	1146	526
3	3331	488
4	7979	488
0	8531	459

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 24 to 20 computations (16.7% saved)

preprocess78.0ms (1%)

Memory: 17.4MiB live, 58.5MiB allocated
Compiler: Compiled 44 to 34 computations (22.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze79.0ms (1%)

sample2.8s (35%)

explain113.0ms (1.4%)

preprocess425.0ms (5.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify317.0ms (3.9%)

localize48.0ms (0.6%)

series6.0ms (0.1%)

simplify160.0ms (2%)

rewrite174.0ms (2.1%)

eval94.0ms (1.2%)

prune12.0ms (0.1%)

simplify172.0ms (2.1%)

localize154.0ms (1.9%)

series103.0ms (1.3%)

simplify157.0ms (1.9%)

rewrite289.0ms (3.6%)

eval438.0ms (5.4%)

prune59.0ms (0.7%)

simplify124.0ms (1.5%)

localize234.0ms (2.9%)

series112.0ms (1.4%)

simplify139.0ms (1.7%)

rewrite211.0ms (2.6%)

eval645.0ms (7.9%)

prune35.0ms (0.4%)

simplify114.0ms (1.4%)

localize49.0ms (0.6%)

series79.0ms (1%)

simplify127.0ms (1.6%)

rewrite195.0ms (2.4%)

eval50.0ms (0.6%)

prune12.0ms (0.1%)

regimes14.0ms (0.2%)

regimes4.0ms (0.1%)

simplify24.0ms (0.3%)

soundness238.0ms (2.9%)

preprocess78.0ms (1%)

end0.0ms (0%)

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